\Sort{
  Mode{on}
  Collation{mixed}
  SortTypeOrder{pattern,key,name}
  NameOrder{ascending}
  Key{{author,editor},\year{year,note}}
  KeyOrder{descending,nulls first}
  Pattern{author+editor: "doron"}
  PatternOrder{first}
}

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@article{ABCW98,
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}

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	publisher={IEEE Computer Society Press, Los Alamitos, CA},
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@article{BKM94,
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@techreport{BKM94a,
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@phdthesis{Bli89,
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@inproceedings{BluPaa99,
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@inproceedings{BM92a,
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		Boston-92},
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@inproceedings{BM92b,
	author={J.~C. Bajard and J.~M. Muller},
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@inproceedings{BM93,
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	publisher={IEEE Computer Society Press, Los Alamitos, CA},
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@proceedings{BMMM95,
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@proceedings{BMMMa95,
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	institution={Dept. of Computer Science, The University of Western Ontario, London, Canada},
	year= 1994,
	number= 422,
	key={Dun94}
}

@article{DVV90,
	author={T. Denayer and A. Vandemeulebroecke and E. Vanzieleghem},
	title={A New Carry-Free Division Algorithm and its Application to a Single-Chip
		1024-b RSA Processor},
	journal={IEEE Journal of Solid-State Circuits},
	volume= 25,
	year= 1990,
	number= 3,
	keywords={cryptography,division,RSA}
}

@inproceedings{EG83,
	author={M.~D. Ercegovac and A.~L. Grnarov},
	title={On-Line Multiplicative Normalization},
	booktitle={Proceedings of the 6th IEEE Symposium on Computer Arithmetic},
	year= 1983,
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Aarhus, Denmark},
	pages={151-155},
	keywords={on-line arithmetic}
}

@inproceedings{EKR93,
	author={D. Eisig and J. Rotstain and I. Koren},
	title={The design of a 64-bit integer multiplier/divider unit},
	booktitle={Proceedings of the 11th Symposium on Computer Arithmetic},
	year= 1993,
	month={June},
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Windsor, Canada},
	editor={E.~E. Swartzlander and M.~J.~Irwin and J.~Jullien},
	pages={171-178},
	keywords={division,multiplication}
}

@article{El83,
	author={S.~W. Ellacott},
	title={On the {F}aber Transform and Efficient Numerical Rational Approximation},
	journal={SIAM Journal of Numerical Analysis},
	volume= 20,
	year= 1983,
	pages={989--1000},
	month= oct,
	number= 5,
	key={El83}
}

@inproceedings{EL85,
	author={M.~D. Ercegovac and T. Lang},
	title={A division algorithm with prediction of quotient digits},
	booktitle={Proceedings of the 7th IEEE Symposium on Computer Arithmetic},
	year= 1985,
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Urbana, IL, USA},
	keywords={division}
}

@article{EL87,
	author={M.~D. Ercegovac and T. Lang},
	title={On-the-fly conversion of redundant into conventional representations},
	journal={IEEE Transactions on Computers},
	volume={C-36},
	year= 1987,
	month= Jul,
	number= 7,
	keywords={division,multiplication,on-line arithmetic,redundant number systems},
	note={Reprinted in E.~E. Swartzlander, {\em Computer Arithmetic\/}, Vol. 2, IEEE
		Computer Society Press Tutorial, Los Alamitos, CA, 1990}
}

@inproceedings{EL87a,
	author={M.~D. Ercegovac and T. Lang},
	title={On-line scheme for computing rotation factors},
	booktitle={Proceedings of the 8th IEEE Symposium on Computer Arithmetic},
	year= 1987,
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Como, Italy},
	pages={196-203},
	keywords={cordic,on-line arithmetic},
	series={May}
}

@inproceedings{EL87b,
	author={M.~D. Ercegovac and T. Lang},
	title={Radix-4 multiplication without carry-propagate addition},
	booktitle={IEEE International Conference on Computer Design},
	year= 1987,
	month={Oct.},
	address={Rye Brook, NY, USA},
	pages={654-658},
	keywords={multiplication}
}

@inproceedings{EL87c,
	author={M.~D. Ercegovac and T. Lang},
	title={Fast cosine/sine implementation using on-line {CORDIC}},
	booktitle={Proceedings of the 21st Asilomar Conference Signals, Systems, Computers},
	year= 1987,
	key={EL87c}
}

@article{EL88,
	author={M.~D. Ercegovac and T. Lang},
	title={On-Line Scheme for Computing Rotation Factors},
	journal={Journal of Parallel and Distributed Computing},
	volume={Special Issue on Parallelism in Computer Arithmetic},
	year= 1988,
	number= 5,
	keywords={on-line arithmetic},
	note={Reprinted in E.~E. Swartzlander, {\em Computer Arithmetic\/}, Vol. 2, IEEE
		Computer Society Press Tutorial, Los Alamitos, CA, 1990}
}

@inproceedings{EL88a,
	author={M.~D. Ercegovac and T. lang},
	title={On-line arithmetic: a design methodology and applications in digital signal
		processing},
	booktitle={{VLSI} Signal Processing III},
	year= 1988,
	pages={252-263},
	keywords={on-line arithmetic},
	note={Reprinted in E.~E. Swartzlander, {\em Computer Arithmetic\/}, Vol. 2, IEEE
		Computer Society Press Tutorial, Los Alamitos, CA, 1990}
}

@inproceedings{EL89,
	author={M.~D. Ercegovac and T. Lang},
	title={Radix-4 square root without initial PLA},
	booktitle={Proceedings of the 9th IEEE Symposium on Computer Arithmetic},
	year= 1989,
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Santa Monica, USA},
	pages={162-168},
	keywords={square root}
}

@article{EL90,
	author={M.~D. Ercegovac and T. Lang},
	title={Fast multiplication without carry-propagate addition},
	journal={IEEE Transactions on Computers},
	volume= 39,
	year= 1990,
	pages={1385-1390},
	month= Nov,
	number= 11,
	keywords={multiplication}
}

@article{EL90a,
	author={M.~D. Ercegovac and T. Lang},
	title={Redundant and On-line {CORDIC}: Application to Matrix Triangularization
		and {SVD}},
	journal={IEEE Transactions on Computers},
	volume= 39,
	year= 1990,
	pages={725-740},
	month= Jun,
	number= 6,
	keywords={cordic}
}

@article{EL92,
	author={M.~D. Ercegovac and T. Lang},
	title={On-the-fly rounding},
	journal={IEEE Transactions on Computers},
	volume= 41,
	year= 1992,
	pages={1497-1503},
	month= Dec,
	number= 12,
	keywords={on-line arithmetic,rounding}
}

@inproceedings{EL92a,
	author={M.~E. Louie and M.~D. Ercegovac},
	title={Mapping Division Algorithms to Field Programmable Gate Arrays},
	booktitle={Proceedings of the 1992 Asilomar Conference on Signals, Systems and Computers},
	year= 1992,
	keywords={division,FPGA}
}

@inproceedings{EL93,
	author={M.~E. Louie and M.~D. Ercegovac},
	title={On digit-recurrence division implementation for field programmable gate
		arrays},
	booktitle={Proceedings of the 11th IEEE Symposium on Computer Arithmetic},
	year= 1993,
	month={June},
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Windsor, Canada},
	editor={E.~E. Swartzlander and M.~J.~Irwin and J.~Jullien},
	pages={202-209},
	keywords={division,FPGA}
}

@inproceedings{EL93a,
	author={M.~E. Louie and M.~D. Ercegovac},
	title={A Digit-Recurrence Square Root Implementation for Field Programmable Gate
		Arrays},
	booktitle={IEEE Workshop on FPGAs for Custom Computing Machines},
	year= 1993,
	month={April},
	keywords={bit-serial arithmetic,FPGA,on-line arithmetic,square root}
}

@book{EL94,
	author={M.~D.~Ercegovac and T.~Lang},
	title={Division and Square Root: Digit-Recurrence Algorithms and Implementations},
	publisher={Kluwer Academic Publishers, Boston},
	year= 1994,
	keywords={division, square root},
	key={EL94}
}

@inproceedings{ELM93,
	author={M.~D. Ercegovac and T. Lang and P. Montuschi},
	title={Very high radix division with selection by rounding and prescaling},
	booktitle={Proceedings of the 11th IEEE Symposium on Computer Arithmetic},
	year= 1993,
	month={June},
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Windsor, Canada},
	editor={E.~E. Swartzlander and M.~J.~Irwin and J.~Jullien},
	pages={112-119},
	keywords={division}
}

@article{ELM94,
	author={M.~D. Ercegovac and T. Lang and P.~Montuschi},
	title={Very-High Radix Division with Prescaling and Rounding},
	journal={IEEE Transactions on Computers},
	volume= 43,
	year= 1994,
	pages={909-918},
	month= Aug,
	number= 8,
	keywords={division}
}

@techreport{ELMT97,
	author={M.D.~Ercegovac and T.~Lang and J.M.~Muller and A.~Tisserand},
	title={Reciprocation, Square root, Inverse Square Root, and some Elementary Functions
		using Small Multipliers},
	institution={LIP, {\'E}cole Normale Sup{\'e}rieure de Lyon},
	year= 1997,
	month= nov,
	number={RR97-47},
	key={ELMT97},
	note={available at ftp://ftp.lip.ens-lyon.fr/pub/Rapports/RR/RR97/RR97-47.ps.Z}
}

@techreport{EM97,
	author={M.D.~Ercegovac and J.M.~Muller},
	title={Fast Evaluation of Functions at Regularly-Spaced Points},
	institution={LIP, {\'E}cole Normale Sup{\'e}rieure de Lyon},
	year= 1997,
	month= nov,
	number={RR97-46},
	key={EM97},
	note={available at ftp://ftp.lip.ens-lyon.fr/pub/Rapports/RR/RR97/RR97-46.ps.Z}
}

@inproceedings{EMT95,
	author={M.~D.~Ercegovac and J.~M.~Muller and A.~Tisserand},
	title={{FPGA} Implementation of Polynomial Evaluation Algorithms},
	booktitle={SPIE Photonics East'95 Conference Proceedings},
	year= 1995,
	address={Philadelphia, USA},
	key={EMT95}
}

@inproceedings{EN93,
	author={D. Etiemble and K. Navi},
	title={Algorithms and multi-valued circuits for the multioperand addition in the
		binary stored-carry number system},
	booktitle={Proceedings of the 11th IEEE Symposium on Computer Arithmetic},
	year= 1993,
	month={June},
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Windsor, Canada},
	editor={E.~E. Swartzlander and M.~J.~Irwin and J.~Jullien},
	pages={194-201},
	keywords={addition,redundant number systems}
}

@article{EO82,
	author={V.~G. Oklobdzija and M.~D. Ercegovac},
	title={An on-line square root algorithm},
	journal={IEEE Transactions on Computers},
	volume={C-31},
	year= 1982,
	pages={70-75},
	keywords={on-line arithmetic,square root}
}

@article{Erc73,
	author={M.~D. Ercegovac},
	title={Radix 16 evaluation of certain elementary functions},
	journal={IEEE Transactions on Computers},
	volume={C-22},
	year= 1973,
	month= Jun,
	number= 6,
	keywords={elementary functions,shift-and-add algorithms},
	note={Reprinted in E.~E. Swartzlander, {\em Computer Arithmetic\/}, Vol. 1, IEEE
		Computer Society Press Tutorial, Los Alamitos, CA, 1990}
}

@phdthesis{Erc75,
	author={M.~D. Ercegovac},
	title={A general method for evaluation of functions and computation in a digital
		computer},
	school={Dept. of Computer Science, University of Illinois, Urbana-Champaign},
	year= 1975,
	keywords={elementary functions}
}

@article{Erc77,
	author={M.~D. Ercegovac},
	title={A General Hardware-Oriented Method for Evaluation of Functions and Computations
		in a Digital Computer},
	journal={IEEE Transactions on Computers},
	volume={C-26},
	year= 1977,
	pages={667-680},
	number= 7,
	keywords={elementary functions}
}

@inproceedings{Erc78,
	author={M.~D. Ercegovac},
	title={An on-line square rooting algorithm},
	booktitle={fourth IEEE Symposium on Computer Arithmetic},
	year= 1978,
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	keywords={on-line arithmetic,square root}
}

@inproceedings{Erc83,
	author={M.~D. Ercegovac},
	title={A higher-radix division with simple selection of quotient digits},
	booktitle={Proceedings of the 6th IEEE Symposium on Computer Arithmetic},
	year= 1983,
	month={June},
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Aarhus, Denmark},
	pages={94-98},
	keywords={division}
}

@inproceedings{Erc84,
	author={M.~D. Ercegovac},
	title={On-line Arithmetic: {A}n Overview.},
	booktitle={SPIE, Real Time Signal Processing VII},
	year= 1984,
	publisher={SPIE-The International Society for Optical Engeneering, Bellingham, Washington},
	pages={86--93},
	keywords={on-line arithmetic}
}

@inproceedings{Erc91,
	author={M.~D. Ercegovac},
	title={On-Line Arithmetic For Recurrence Problems},
	booktitle={Advanced Signal Processing Algorithms, Architectures, and implementations
		II},
	year= 1991,
	publisher={SPIE-The International Society for Optical Engeneering},
	keywords={on-line arithmetic}
}

@article{ErcImbMatMulWei2000,
	author={M.D. Ercegovac and L. Imbert and D. Matula and J.M. Muller and G. Wei},
	title={Improving Goldschmidt Division, Square Root and Square Root Reciprocal},
	journal={IEEE Transactions on Computers},
	volume= 49,
	year= 2000,
	month= jul,
	number= 7 
}

@book{ErcLan2004,
	author={M.~D.~Ercegovac and T.~Lang},
	title={Digital Arithmetic},
	publisher={Morgan Kaufmann Publishers},
	year={2004},
	key={ErcLan2002},
	isbn={1-55860-798-6}
}

@article{ErcLanMulTis2000,
	author={M. Ercegovac and T. Lang and J.M. Muller and A. Tisserand},
	title={Reciprocation, Square Root, Inverse Square Root and Some Elementary Functions
		Unsing Small Multipliers},
	journal={IEEE Transactions on Computers},
	volume= 49,
	year= 2000,
	month= jul,
	number= 7 
}

@inproceedings{ErcLanMulTis98,
	author={M. Ercegovac and T. Lang and J.M. Muller and A. Tisserand},
	title={Reciprocation, Square Root, Inverse Square Root and Some Elementary Functions
		Using Small Multipliers},
	booktitle={{SPIE's} International Symposium on Optical Science, Engineering, and Instrumentation},
	year= 1998,
	month= jul,
	address={San Diego}
}

@inproceedings{ErcMul98,
	author={M. Ercegovac and J.M. Muller},
	title={Fast Evaluation of Functions at Regularly-Spaced Points},
	booktitle={{SPIE's} Internationa Symposium on Optical Science, Engineering, and Instrumentation},
	year= 1998,
	month= jul 
}

@phdthesis{Erh92,
	author={J.~Erhel},
	title={Vitesse et pr{\'e}cision en calcul scientifique},
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	year= 1992,
	type={Habilitation {\`a} Diriger des Recherches},
	key={Erh92}
}

@inproceedings{Est60,
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	pages={33-40}
}

@inproceedings{ET75,
	author={K.~S. Trivedi and M.~D. Ercegovac},
	title={On-line algorithms for division and multiplication},
	booktitle={3rd IEEE Symposium on Computer Arithmetic},
	year= 1975,
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Dallas, Texas, USA},
	pages={161-167},
	keywords={division,multiplication,on-line arithmetic}
}

@article{ET77,
	author={M.~D. Ercegovac and K.~S. Trivedi},
	title={On-line algorithms for division and multiplication},
	journal={IEEE Transactions on Computers},
	volume={C-26},
	year= 1977,
	pages={681-687},
	number= 7,
	keywords={division,multiplication,on-line arithmetic},
	note={Reprinted in E.~E. Swartzlander, {\em Computer Arithmetic\/}, Vol. 2, IEEE
		Computer Society Press Tutorial, Los Alamitos, CA, 1990}
}

@inproceedings{ET87,
	author={M. D. Ercegovac and P. K. G. Tu},
	title={A radix-4 on-line division algorithm.},
	booktitle={Proceedings of the 8th IEEE Symposium on Computer Arithmetic},
	year= 1987,
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Como, Italy},
	keywords={division,on-line arithmetic}
}

@inproceedings{ET89,
	author={M. D. Ercegovac and P. K. G. Tu},
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	booktitle={Proceedings of the 9th IEEE Symposium on Computer Arithmetic},
	year= 1989,
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Santa Monica, USA},
	editor={M. D. Ercegovac and E.~E. Swartzlander},
	pages={42-49},
	keywords={division,on-line arithmetic}
}

@inproceedings{ET91,
	author={M.~D. Ercegovac and P.~K.~G. Tu},
	title={Application of on-line arithmetic algorithms to the {SVD} computation: preliminary
		results},
	booktitle={Proceedings of the 10th IEEE Symposium on Computer Arithmetic},
	year= 1991,
	month={June},
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Grenoble, France},
	editor={P. Kornerup and D.~W. Matula},
	pages={246-255},
	keywords={on-line arithmetic}
}

@article{EvePau2000,
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}

@article{EveSei2000,
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}

@inproceedings{EveSei99,
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	month={April},
	publisher={IEEE Computer Society Press},
	address={Los Alamitos, CA},
	editor={Koren and Kornerup},
	pages={225--232}
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@article{EW83,
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	keywords={on-line arithmetic},
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		Computer Society Press Tutorial, Los Alamitos, CA, 1990}
}

@inproceedings{Fan87,
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	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Como, Italy},
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@inproceedings{Fan89,
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	keywords={division,square root}
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@inproceedings{FB91,
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@unpublished{Fer97,
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@book{Fik68,
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@article{Fly70,
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@techreport{FM90,
	author={P. Francois and J. M. Muller},
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@inproceedings{FN85,
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}

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}

@article{FP83,
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}

@book{FPTV92,
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	pages={59-70},
	number= 1,
	keywords={addition,floating-point arithmetic}
}

@article{MicMor97,
	author={Dominique Michelucci and Jean-Michel Moreau},
	title={Lazy Arithmetic},
	journal={IEEE Transactions on Computers},
	volume= 46,
	year= 1997,
	pages={961--975},
	month= sep,
	number= 9 
}

@article{MigMulPey2000,
	author={A. Mignotte and J.M. Muller and O. Peyran},
	title={Synthesis for Mixed Arithmetic},
	journal={Design Automation for Embedded Systems},
	volume= 5,
	year= 2000,
	month= feb,
	number= 1 
}

@article{MK71,
	author={J.~C. Majithia and R. Kitai},
	title={An iterative array for multiplication of signed binary numbers},
	journal={IEEE Transactions on Computers},
	volume={C-20},
	year= 1971,
	month= Feb,
	number= 2,
	keywords={multiplication}
}

@inproceedings{MK95,
	author={A.~Munk-Nielsen and P.~Kornerup},
	title={MSB-first Digit-Serial Arithmetic},
	booktitle={Real Numbers and Computers (Saint Etienne, France)},
	year= 1995,
	editor={Bajard and Michelucci and Moreau and Muller},
	key={MK95}
}

@article{MM73,
	author={J.~D. Marasa and D.~W. Matula},
	title={A simulative study of correlated error propagation in various finite precision
		arithmetic},
	journal={IEEE Transactions on Computers},
	volume={C-22},
	year= 1973,
	pages={587-597},
	month= Jun,
	number= 6,
	keywords={accuracy control,floating-point arithmetic,number systems}
}

@inproceedings{MM94,
	author={A. Mignotte and J.~M. Muller},
	title={Overview of Synthesis and Arithmetic},
	booktitle={IFIP Workshop on Logic and Architecture Synthesis},
	year= 1994,
	month={Dec.},
	address={Grenoble, France}
}

@techreport{MM96,
	author={A. Munk-Nielsen and J.~M. Muller},
	title={On-line Algorithms for Computing Exponentials},
	institution={Laboratoire LIP, {\'E}cole Normale Sup{\'e}rieure de Lyon},
	year= 1996,
	type={Research Report},
	key={MM96}
}

@article{MMM93,
	author={C. Mazenc and X. Merrheim and J.~M. Muller},
	title={Computing functions $cos^{-1}$ and $sin^{-1}$ using {CORDIC}},
	journal={IEEE Transactions on Computers},
	volume= 42,
	year= 1993,
	pages={118-122},
	month= Jan,
	number= 1,
	keywords={cordic}
}

@inbook{MMP95,
	author={A. Mignotte and J.~M. Muller and O. Peyran},
	title={The influence of modern computer arithmetic on synthesis},
	year= 1995,
	publisher={Chapman et Hall},
	booktitle={Novel approaches in logic and architectural synthesis}
}

@inproceedings{MMP96,
	author={A.~Mignotte, J.~M.~Muller and O.~Peyran},
	title={Mixed Arithmetics: Introduction and Design Structure},
	booktitle={MPCS'96 (Second International Conference on Masssively Parallel Computing
		Systems)},
	year= 1996,
	month= may,
	address={Ischia, Italy},
	key={MMP96}
}

@inproceedings{MMP96a,
	author={A.~Mignotte and J.~M.~Muller and O.~Peyran},
	title={A Model for Using Redundant Number Systems in Special-Purpose Architectures},
	booktitle={Proceedings of CESA'96 (IMACS Multiconference Computational Engineering
		in Systems Applications)},
	year= 1996,
	month= jul,
	address={Lille, France},
	key={MMP96a}
}

@inproceedings{MMP96b,
	author={A.~Mignotte and J.M.~Muller and O.~Peyran},
	title={Am{\'e}lioration des Calculs par l'Arithm{\'e}tique Mixte},
	booktitle={4{\`e}me Symposium Architectures Nouvelles de Machines},
	year= 1996,
	month= feb,
	key={MMP96b}
}

@inproceedings{MMS74,
	author={G.~W. McIver and R.~W. Miller and T.~G. O'Shaughnessy},
	title={A monolithic 16x16 digital multiplier},
	booktitle={IEEE International Solid-State circuits conference digest of technical papers},
	year= 1974,
	pages={231-233},
	keywords={multiplication},
	note={Reprinted in E.~E. Swartzlander, {\em Computer Arithmetic\/}, Vol. 2, IEEE
		Computer Society Press Tutorial, Los Alamitos, CA, 1990}
}

@inproceedings{MMY93,
	author={X. Merrheim and J.~M. Muller and H.~J. Yeh},
	title={Fast evaluation of polynomials and inverses of polynomials},
	booktitle={Proceedings of the 11th IEEE Symposium on Computer Arithmetic},
	year= 1993,
	month={June},
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Windsor, Canada},
	editor={E.~E. Swartzlander and M.~J.~Irwin and J.~Jullien},
	pages={186-192},
	keywords={polynomial evaluation}
}

@inproceedings{MN96,
	author={A. Munk-Nielsen and J.~M. Muller},
	title={On-Line Operators for Complex Arithmetics},
	booktitle={MPCS'96 (Second International Conference on Masssively Parallel Computing
		Systems)},
	year= 1996,
	month= may,
	address={Ischia, Italy},
	key={MN96}
}

@inproceedings{MN96a,
	author={A.~Munk-Nielsen and J.~M.~Muller},
	title={On-line Algorithms for Computing Exponentials and Logarithms},
	booktitle={Proceedings of Europar'96, Lecture Notes in Computer Science 1124},
	year= 1996,
	month= aug,
	publisher={Springer-Verlag, Berlin},
	address={Lyon, France},
	key={MN96a}
}

@inproceedings{MN96b,
	author={A. Munk-Nielsen and J.~M. Muller},
	title={Borrow-Save Adders for Real and Complex Number Systems},
	booktitle={Real Numbers and computers~2},
	year= 1996,
	month= apr,
	address={Marseille, France},
	key={MN96b}
}

@article{Mon85,
	author={P.~Montgomery},
	title={Modular Multiplication Without Trial Division},
	journal={Mathematics of Computation},
	volume={44},
	year={1985},
	pages={519--521},
	number={170},
	key={Mon85}
}

@inproceedings{MonLan99,
	author={Paolo Montuschi and Tomas Lang},
	title={Boosting Very-High Radix Division with Prescaling and Selection by Rounding},
	booktitle={Proceedings of the 14th {IEEE} Symposium on Computer Arithmetic (Adelaide,
		Australia)},
	year= 1999,
	month={April},
	publisher={IEEE Computer Society Press},
	address={Los Alamitos, CA},
	editor={Koren and Kornerup},
	pages={52--59}
}

@book{Moo63,
	author={R.~E. Moore},
	title={Interval Analysis},
	publisher={Prentice-Hall, Englewood Cliffs, NJ},
	year= 1963,
	address={New York},
	keywords={accuracy control,interval arithmetic}
}

@phdthesis{Mor90,
	author={F. Morain},
	title={Courbes elliptiques et tests de primalit{\'e}},
	school={Universit{\'e} Claude Bernard},
	year= 1990,
	month= Sep,
	address={Lyon, France},
	keywords={prime numbers}
}

@article{Mos97,
	author={David Mosberger},
	title={Linux and the Alpha, How to Make your Application Fly, Part 2},
	journal={Linux Journal},
	volume={1997},
	year={1997},
	key={Mos97}
}

@article{MP89,
	author={K.~K. Primlani and J.~L. Meador},
	title={A nonredundant radix-4 serial multiplier},
	journal={IEEE journal of solid-state circuits},
	volume= 24,
	year= 1989,
	pages={1729-1736},
	keywords={bit-serial arithmetic,multiplication}
}

@inproceedings{MP91,
	author={S.~N. Parikh and D.~W. Matula},
	title={A redundant binary euclidean GCD algorithm},
	booktitle={Proceedings of the 10th IEEE Symposium on Computer Arithmetic},
	year= 1991,
	month={June},
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Grenoble, France},
	editor={P. Kornerup and D.~W. Matula},
	pages={220-225},
	keywords={GCD}
}

@article{MPPZ88,
	author={D.J. Magenheimer and L. Peters and K.W. Pettis and D. Zuras},
	title={Integer Multiplication and Division on the {HP} Precision Architecture},
	journal={IEEE Transactions on Computers},
	volume={37},
	year={1988},
	pages={980--990},
	month={August},
	number={8},
	key={MPPZ88}
}

@inproceedings{MPS91,
	author={M. Mehta and V. Parmar and E.~E. Swartzlander},
	title={High-speed multiplier design using multi-input counter and compressor circuits},
	booktitle={Proceedings of the 10th IEEE Symposium on Computer Arithmetic},
	year= 1991,
	month={June},
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Grenoble, France},
	editor={P. Kornerup and D.~W. Matula},
	pages={43-50},
	keywords={multiplication}
}

@inproceedings{MRR91,
	author={M. Muller and C. Rub and W. Rulling},
	title={Exact accumulation of floating-point numbers},
	booktitle={Proceedings of the 10th IEEE Symposium on Computer Arithmetic},
	year= 1991,
	month={June},
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Grenoble, France},
	editor={P. Kornerup and D.~W. Matula},
	pages={64-69},
	keywords={accuracy control,exact arithmetic,floating-point arithmetic}
}

@article{MS83,
	author={A. Sakurai and S. Muroga},
	title={Parallel binary adders with a minimum number of connections},
	journal={IEEE Transactions on Computers},
	volume={C-32},
	year= 1983,
	pages={969-976},
	keywords={addition}
}

@inproceedings{MS88,
	author={J.~M. Muller and F. Siebert-Roch},
	title={{VLSI} manipulation of polynomials},
	booktitle={Computer algebra and parallelism},
	year= 1988,
	publisher={Academic Press, New York},
	editor={J. Della Dora and J. Fitch}
}

@inproceedings{MS93,
	author={D.~D. Sarma and D.~W. Matula},
	title={Measuring the accuracy of ROM reciprocal tables},
	booktitle={Proceedings of the 11th IEEE Symposium on Computer Arithmetic},
	year= 1993,
	month={June},
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Windsor, Canada},
	editor={E.~E. Swartzlander and M.~J.~Irwin and J.~Jullien},
	pages={95-102}
}

@inproceedings{MST93,
	author={J.~D. Mellot and J.~C. Smith and F.~J. Taylor},
	title={The Gauss machine: a Galois-enhanced quadratic residue number system systolic
		array},
	booktitle={Proceedings of the 11th IEEE Symposium on Computer Arithmetic},
	year= 1993,
	month={June},
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Windsor, Canada},
	editor={E.~E. Swartzlander and M.~J.~Irwin and J.~Jullien},
	pages={156-162},
	keywords={finite fields,residue number systems}
}

@inproceedings{MST95,
	author={J.~M. Muller and O. Scherbyna and A. Tisserand},
	title={Semi-Logarithmic Number Systems},
	booktitle={Proceedings of the 12th IEEE Symposium on Computer Arithmetic},
	year= 1995,
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	address={Bath, UK}
}

@article{MST98,
	author={J.M.~Muller and A.~Scherbyna and A.~Tisserand},
	title={Semi-Logarithmic Number Systems},
	journal={{IEEE} Transactions on Computers},
	volume= 47,
	year= 1998,
	month= feb,
	number= 2,
	key={MST98}
}

@article{MT88,
	author={J.~M. Muller and D. Trystram},
	title={Architectures pour le calcul de la transform{\'e}e de Fourier discr{\`e}te},
	journal={Traitement du Signal},
	volume= 5,
	year= 1988,
	number= 6,
	keywords={FFT}
}

@inproceedings{MT88a,
	author={J.~M. Muller and D. Trystram},
	title={Perfect Shuffle {VLSI} implementation: applications to sorting and {FFT}
		computation},
	booktitle={CONPAR88},
	year= 1988,
	month={Sep.},
	address={Manchester},
	keywords={FFT,on-line arithmetic}
}

@inproceedings{MT88b,
	author={J.~M. Muller and D. Trystram},
	title={A {VLSI} architecture for the discrete Fourier transform},
	booktitle={Parallel Processing, Proceedings of the IFIP WG 10.3 Working Conference
		on Parallel Processing},
	year= 1988,
	month={April},
	publisher={North-Holland},
	address={Pisa, Italy},
	editor={M. Cosnard, M.~H. Barton and M. Vanneschi},
	keywords={FFT,on-line arithmetic}
}

@inproceedings{MT95,
	author={J.~M. Muller and A. Tisserand},
	title={Towards exact rounding of the elementary functions},
	booktitle={Scientific Computing and Validated Numerics ({P}roceedings of {SCAN'95})},
	year= 1996,
	publisher={Akademie Verlag},
	address={Wuppertal, Germany},
	editor={Alefeld and Frommer and Lang},
	key={MT95}
}

@inproceedings{MTV97,
	author={J.M.~Muller and A.~Tisserand and J.M.~Vincent},
	title={Asynchronous sub-logarithmic adders},
	booktitle={Proceedings of the 1997 IEEE Pacific Rim Conference on Communication, Computers
		and Signal Processing (PACRIM97)},
	year= 1997,
	month= aug,
	publisher={IEEE Computer Society Press},
	editor={A.~Bhargava},
	key={MTV97}
}

@inproceedings{Mul03,
	author={J.-M.~Muller},
	title={``Partially Rounded'' Small-Order Approximations for Accurate, Hardware-Oriented,
		Table-Based Methods},
	booktitle={Proceedings of the 16th {IEEE} Symposium on Computer Arithmetic ({ARITH}16)},
	year={2003},
	month={June},
	publisher={{IEEE} Computer Society Press},
	editor={Bajard and Schulte},
	pages={114--121},
	key={Mul03},
	location={Santiago de Compostela, Spain}
}

@article{Mul2000,
	author={J.M. Muller},
	title={Vers Des Primitives Propres En Arithm{\'e}tique Des Ordinateurs},
	journal={Technique et Science Informatiques},
	volume= 19 ,
	year= 2000,
	month= jan 
}

@article{Mul85,
	author={J.~M. Muller},
	title={Discrete basis and Computation of elementary functions},
	journal={IEEE Transactions on Computers},
	volume={C-34},
	year= 1985,
	month= Sep,
	number= 9,
	keywords={cordic,elementary functions,shift-and-add algorithms}
}

@phdthesis{Mul85a,
	author={J.~M. Muller},
	title={M{\'e}thodologies de calcul des fonctions {\'e}l{\'e}mentaires (in French)},
	school={Institut National Polytechnique de Grenoble, France},
	year= 1985,
	month= Sep,
	keywords={cordic,elementary functions,exponential,floating-point arithmetic,logarithm,shift-and-add
		algorithms,square root,trigonometric functions}
}

@article{Mul86,
	author={J.~M. Muller},
	title={Une m{\'e}thodologie du calcul hardware des fonctions {\'e}l{\'e}mentaires (in {F}rench)},
	journal={M2AN},
	volume= 20,
	year= 1986,
	pages={667-695},
	month= Dec,
	number= 4,
	key={Mul86},
	keywords={elementary functions,shift-and-add algorithms}
}

@book{Mul89,
	author={J.~M. Muller},
	title={Arithm{\'e}tique des Ordinateurs},
	publisher={Masson, Paris},
	year= 1989,
	keywords={accuracy control,addition,cordic,division,elementary functions,exponential,floating-point
		arithmetic,interval arithmetic,logarithm,multiplication,number systems,on-line
		arithmetic,polynomial approximations,rational approximations,redundant
		number systems,residue number systems,shift-and-add algorithms,square root,survey
		on computer arithmetic,trigonometric functions}
}

@inproceedings{Mul91a,
	author={J.~M. Muller},
	title={On-line computations: a survey and some new results},
	booktitle={IFIP Workshop on algorithms and parallel {VLSI} architectures},
	year= 1991,
	month={June},
	address={Bonas, France},
	keywords={on-line arithmetic},
	edition={North Holland}
}

@article{Mul94,
	author={J.~M. Muller},
	title={Some characterizations of functions computable in on-line arithmetic},
	journal={IEEE Transactions on Computers},
	volume= 43,
	year= 1994,
	month= Jun,
	number= 6,
	key={Mul94},
	keywords={on-line arithmetic}
}

@inproceedings{Mul94a,
	author={J.~M. Muller},
	title={Exotic Systems for Representing Numbers},
	booktitle={4th DGCI},
	year= 1994,
	month={Sept.},
	address={Grenoble, France},
	key={Mul94a},
	keywords={survey on computer arithmetic}
}

@article{Mul95,
	author={J.~M. Muller},
	title={Ordinateurs en Qu{\^e}te d'Arithm{\'e}tique},
	journal={La Recherche},
	year= 1995,
	month= Jul,
	keywords={survey on computer arithmetic}
}

@article{Mul95a,
	author={J.~M. Muller},
	title={Algorithmes de division pour microprocesseurs~: illustration {\`a} l'aide du
		``bug'' du Pentium},
	journal={Technique et Science Informatiques},
	volume= 14,
	year= 1995,
	month= oct,
	number= 8,
	key={Mul95a}
}

@book{Mul97,
	author={J.M.~Muller},
	title={Elementary Functions, Algorithms and Implementation},
	publisher={Birkhauser, Boston},
	year= 1997,
	key={Mul97},
	issn_isbn={ISBN 0-8176-3990-X}
}

@inproceedings{Mul98,
	author={J.M. Muller},
	title={Table Methods for Evaluating Functions: A Survey},
	booktitle={{SCAN'98}},
	year= 1998,
	month= sep,
	address={Budapest, Hungary}
}

@article{Mul99,
	author={J.M. Muller},
	title={A Few Results on Table-Based Methods},
	journal={Reliable Computing},
	volume= 5,
	year= 1999,
	pages={279--288},
	month={August},
	number= 3 ,
	key={Mul99}
}

@article{MY91,
	author={P.~Midy and Y.~Yakovlev},
	title={Computing some elementary functions of a complex variable},
	journal={Mathematics and Computers in Simulation},
	volume= 33,
	year= 1991,
	pages={33--49},
	key={MY91}
}

@article{MZ86,
	author={D. Zuras and W.~H. McAllister},
	title={Balanced delays trees and combinatorial division in {VLSI}},
	journal={IEEE journal of solid-state circuits},
	volume={SC-21},
	year= 1986,
	pages={814-819},
	keywords={division}
}

@article{Nak86,
	author={S. Nakamura},
	title={Algorithms for iterative array multiplication},
	journal={IEEE Transactions on Computers},
	volume={C-35},
	year= 1986,
	month= Aug,
	number= 8,
	keywords={multiplication}
}

@article{Nak88,
	author={Y. Nakayama and others},
	title={A GaAs 16x16 bit parallel multiplier},
	journal={IEEE journal of solid-state circuits},
	volume={SC-18},
	year= 1983,
	pages={599-603},
	keywords={multiplication}
}

@article{Nak89,
	author={T. Nakayama and others},
	title={A 6.7-Mflops floating-point coprocessor with vector/matrix instructions},
	journal={IEEE journal of solid-state circuits},
	volume= 24,
	year= 1989,
	pages={1324-1330},
	keywords={floating-point arithmetic}
}

@inproceedings{NanLan99,
	author={Alberto Nanarelli and Tomas Lang},
	title={Low-Power Division: Comparison Among Implementations of Radix 4, 8 and 16},
	booktitle={Proceedings of the 14th {IEEE} Symposium on Computer Arithmetic (Adelaide,
		Australia)},
	year= 1999,
	month={April},
	publisher={Computer Society Press, Los Alamitos, CA},
	editor={Koren and Kornerup},
	pages={60--67}
}

@article{Nav83,
	author={R. Nave},
	title={Implementation of Transcendental Functions on a Numerics Processor},
	journal={Microprocessing and Microprogramming},
	volume= 11,
	year= 1983,
	pages={221--225},
	key={Nav83}
}

@article{NB92,
	author={K.~C.~Ng and K.~H.~Bierman},
	title={Getting the Right Answer for the Trigonometric Functions},
	journal={SunProgrammer},
	year={Spring 1992},
	key={NB92}
}

@techreport{Ng92,
	author={K.~C. Ng},
	title={Argument Reduction for Huge Arguments: Good to the Last Bit (can be obtained
		by sending an e-mail to the author: kwok.ng@eng.sun.com)},
	institution={SunPro},
	year= 1992,
	key={Ng92}
}

@phdthesis{Nie97,
	author={Asger Munk Nielsen},
	title={Number Systems and Digit Serial Arithmetic},
	school={Dept. of Mathematics and Computer Science, Odense University, Denmark},
	year= 1997 
}

@article{NieMatLyuEve2000,
	author={A.M. Nielsen and D.W. Matula and C.N. Lyu and G. Even},
	title={An {IEEE} Compliant Floating-Point Adder That Conforms with the Pipelined
		Packet-Forwarding Paradigm},
	journal={IEEE Transactions on Computers},
	volume= 49,
	year= 2000,
	pages={33--47},
	month={January},
	number= 1 
}

@article{NNW87,
	author={K. Washio and K. Nakazato and T. Nakamura},
	title={2.7 ns 8x8-bit parallel array multiplier using sidewall base contact structure},
	journal={IEEE journal of solid-state circuits},
	volume={SC-22},
	year= 1987,
	pages={613-614},
	keywords={multiplication}
}

@article{Nol86,
	author={T. Noll and others},
	title={A pipelined 330-MHz multiplier},
	journal={IEEE journal of solid-state circuits},
	volume={SC-21},
	year= 1986,
	pages={411-416}
}

@article{NP87,
	author={C. Neaderhouser Purdy and G.~B. Purdy},
	title={Integer division in linear time with bounded fan-in},
	journal={IEEE Transactions on Computers},
	volume={C-36},
	year= 1987,
	pages={640-644},
	keywords={division}
}

@article{NW95,
	author={Y.~V. Nesterenko and M.~Waldschmidt},
	title={On the approximation of the values of exponential function and logarithm
		by algebraic numbers (in Russian)},
	journal={Mat. Zapiski},
	volume= 2,
	year= 1996,
	pages={23--42},
	key={NW95}
}

@inproceedings{OABVZ95,
	author={R.~R.~Osoroi and E.~Antelo and J.~D.~Bruguera and J.~Villalba and E.~Zapata},
	title={Digit On-line Large Radix {CORDIC} Rotator},
	booktitle={Proceedings of ASAP-95 (Strasbourg, France)},
	year= 1995,
	month= jul,
	publisher={IEEE Computer Society Press, Los Alamitos, CA},
	editor={P.~Cappello and C.~Mongenet and G.~R.~Perrin and P.~Quinton and Y.~Robert},
	pages={246--257},
	key={OABVZ95}
}

@phdthesis{Obe96,
	author={S.~F.~Oberman},
	title={Design issues in high performance floating point arithmetic units},
	school={Dept. of Electrical Engineering, Stanford University},
	year= 1996,
	month= nov,
	key={Obe96}
}

@inproceedings{Obe99,
	author={Stuart F. Oberman},
	title={Floating-Point Division and Square Root Algorithms and Implementation in
		the {AMD}-K7 Microprocessor},
	booktitle={Proceedings of the 14th {IEEE} Symposium on Computer Arithmetic (Adelaide,
		Australia)},
	year= 1999,
	month={April},
	publisher={IEEE Computer Society Press},
	address={Los Alamitos, CA},
	editor={Koren and Kornerup},
	pages={106--115}
}

@inproceedings{OBPV2003,
	author={S.~Berna \¨Ors and Lejla Batina and B.~Preneel and J.~Vanderwalle},
	title={Hardware Implementation of a Montgomery Modular Multiplier in a Systolic
		Array},
	booktitle={Proceedings of the 17th International Parallel and Distributed Processing
		Symposium},
	year={2003},
	publisher={IEEE Computer Society},
	key={OBPV2003}
}

@inproceedings{OF96,
	author={S.~Oberman and M.~J.~Flynn},
	title={Implementing Division and Other Floating-Point Operations: A System Perspective},
	booktitle={Scientific Computing and Validated Numerics (Proceedings of SCAN'95)},
	year= 1996,
	publisher={Akademie Verlag},
	editor={Alefeld and Fromer and Lang},
	pages={18--24},
	key={OF96},
	chapter={Implementing Division and Other Floating-Point Operations: A System Perspective}
}

@techreport{OF96a,
	author={S.~F.~Oberman and M.~J.~Flynn},
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