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1

A note on structured pseudospectra

Journal:

Journal of Computational and Applied Mathematics

Year:

2006

Language:

english

File:

PDF, 178 KB

english, 2006

2

Algorithms for accurate, validated and fast polynomial evaluation

Stef Graillat, Philippe Langlois, Nicolas Louvet

Journal:

Japan Journal of Industrial and Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 1.43 MB

english, 2009

3

Accurate simple zeros of polynomials in floating point arithmetic

Journal:

Computers & Mathematics with Applications

Year:

2008

Language:

english

File:

PDF, 330 KB

english, 2008

4

Verified error bounds for multiple roots of systems of nonlinear equations

Siegfried M. Rump, Stef Graillat

Journal:

Numerical Algorithms

Year:

2010

Language:

english

File:

PDF, 405 KB

english, 2010

5

Pseudozero Set of Real Multivariate Polynomials

Journal:

Mathematics in Computer Science

Year:

2007

Language:

english

File:

PDF, 802 KB

english, 2007

6

Stochastic Arithmetic in Multiprecision

Stef Graillat, Fabienne Jézéquel, Shiyue Wang, Yuxiang Zhu

Journal:

Mathematics in Computer Science

Year:

2011

Language:

english

File:

PDF, 533 KB

english, 2011

7

Accurate summation, dot product and polynomial evaluation in complex floating point arithmetic

Stef Graillat, Valérie Ménissier-Morain

Journal:

Information and Computation

Year:

2012

Language:

english

File:

PDF, 303 KB

english, 2012

8

Accurate evaluation of the -th derivative of a polynomial and its application

Hao Jiang, Stef Graillat, Canbin Hu, Shengguo Li, Xiangke Liao, Lizhi Cheng, Fang Su

Journal:

Journal of Computational and Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 687 KB

english, 2013

9

[IEEE 12th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC 2010) - Timisoara (2010.09.23-2010.09.26)] 2010 12th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing - A Parallel Algorithm for Dot Product over Word-Size Finite Field Using Floating-Point Arithmetic

Jean, Je, Graillat, Stef

Year:

2010

Language:

english

File:

PDF, 633 KB

english, 2010

10

[IEEE 2012 20th Euromicro International Conference on Parallel, Distributed and Network-Based Processing (PDP) - Munich, Germany (2012.02.15-2012.02.17)] 2012 20th Euromicro International Conference on Parallel, Distributed and Network-based Processing - Towards Solving the Table Maker's Dilemma on GPU

Fortin, Pierre, Gouicem, Mourad, Graillat, Stef

Year:

2012

Language:

english

File:

PDF, 260 KB

english, 2012

11

On the maximum relative error when computing integer powers by iterated multiplications in floating-point arithmetic

Graillat, Stef, Lefèvre, Vincent, Muller, Jean-Michel

Journal:

Numerical Algorithms

Year:

2015

Language:

english

File:

PDF, 289 KB

english, 2015

12

Accurate computing elementary symmetric functions

Jiang, Hao, Graillat, Stef, Barrio, Roberto

Journal:

ACM Communications in Computer Algebra

Year:

2013

Language:

english

File:

PDF, 198 KB

english, 2013

13

A note on a nearest polynomial with a given root

Journal:

ACM SIGSAM Bulletin

Year:

2005

Language:

english

File:

PDF, 244 KB

english, 2005

14

[ACM Press the 2006 ACM symposium - Dijon, France (2006.04.23-2006.04.27)] Proceedings of the 2006 ACM symposium on Applied computing - SAC '06 - Improving the compensated Horner scheme with a fused multiply and add

Graillat, Stef, Langlois, Philippe, Louvet, Nicolas

Year:

2006

Language:

english

File:

PDF, 156 KB

english, 2006

15

[ACM Press the 2006 ACM symposium - Dijon, France (2006.04.23-2006.04.27)] Proceedings of the 2006 ACM symposium on Applied computing - SAC '06 - Pseudozero set of interval polynomials

Graillat, Stef, Langlois, Philippe

Year:

2006

Language:

english

File:

PDF, 294 KB

english, 2006

16

Numerical Reproducibility for the Parallel Reduction on Multi- and Many-Core Architectures

Collange, Sylvain, Defour, David, Graillat, Stef, Iakymchuk, Roman

Journal:

Parallel Computing

Year:

2015

Language:

english

File:

PDF, 575 KB

english, 2015

17

Efficient Calculations of Faithfully Rounded l 2 -Norms of n -Vectors

Graillat, Stef, Lauter, Christoph, Tang, PING Tak Peter, Yamanaka, Naoya, Oishi, Shin’ichi

Journal:

ACM Transactions on Mathematical Software

Year:

2015

Language:

english

File:

PDF, 262 KB

english, 2015

18

[IEEE 2015 12th International Conference on Information Technology - New Generations (ITNG) - Las Vegas, NV, USA (2015.4.13-2015.4.15)] 2015 12th International Conference on Information Technology - New Generations - Reproducible Triangular Solvers for High-Performance Computing

Iakymchuk, Roman, Defour, David, Collange, Sylvain, Graillat, Stef

Year:

2015

File:

PDF, 198 KB

2015

19

[IEEE 2015 12th International Conference on Information Technology - New Generations (ITNG) - Las Vegas, NV, USA (2015.4.13-2015.4.15)] 2015 12th International Conference on Information Technology - New Generations - Reproducible Triangular Solvers for High-Performance Computing

Iakymchuk, Roman, Defour, David, Collange, Sylvain, Graillat, Stef

Year:

2015

Language:

english

File:

PDF, 198 KB

english, 2015

20

Accurate, validated and fast evaluation of elementary symmetric functions and its application

Jiang, Hao, Graillat, Stef, Barrio, Roberto, Yang, Canqun

Journal:

Applied Mathematics and Computation

Year:

2016

Language:

english

File:

PDF, 652 KB

english, 2016

21

Extended precision with a rounding mode toward zero environment. Application to the Cell processor

Nguyen, Hong Diep, Graillat, Stef, Lamotte, Jean Luc

Journal:

International Journal of Reliability and Safety

Year:

2009

Language:

english

File:

PDF, 650 KB

english, 2009

22

GPU-Accelerated Generation of Correctly Rounded Elementary Functions

Fortin, Pierre, Gouicem, Mourad, Graillat, Stef

Journal:

ACM Transactions on Mathematical Software

Year:

2016

Language:

english

File:

PDF, 647 KB

english, 2016

23

On the Robustness of the 2Sum and Fast2Sum Algorithms

Boldo, Sylvie, Graillat, Stef, Muller, Jean-Michel

Journal:

ACM Transactions on Mathematical Software

Year:

2017

Language:

english

File:

PDF, 304 KB

english, 2017

24

[IEEE 2017 IEEE International Parallel and Distributed Processing Symposium: Workshops (IPDPSW) - Lake Buena Vista, FL (2017.5.29-2017.6.2)] 2017 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW) - Towards Reproducible Blocked LU Factorization

Iakymchuk, Roman, Quintana-Orti, Enrique S., Laure, Erwin, Graillat, Stef

Year:

2017

Language:

english

File:

PDF, 267 KB

english, 2017

25

Numerical validation of compensated algorithms with stochastic arithmetic

Graillat, Stef, Jézéquel, Fabienne, Picot, Romain

Journal:

Applied Mathematics and Computation

Year:

2018

Language:

english

File:

PDF, 942 KB

english, 2018

26

An accurate algorithm for evaluating rational functions

Journal:

Applied Mathematics and Computation

Year:

2018

Language:

english

File:

PDF, 416 KB

english, 2018

27

Hierarchical approach for deriving a reproducible unblocked LU factorization

Iakymchuk, Roman, Graillat, Stef, Defour, David, Quintana-Ortí, Enrique S

Journal:

International Journal of High Performance Computing Applications

Year:

2019

Language:

english

File:

PDF, 824 KB

english, 2019

28

Auto-tuning for floating-point precision with Discrete Stochastic Arithmetic

Graillat, Stef, Jézéquel, Fabienne, Picot, Romain, Févotte, François, Lathuilière, Bruno

Journal:

Journal of Computational Science

Year:

2019

Language:

english

File:

PDF, 967 KB

english, 2019

29

Tight interval inclusions with compensated algorithms

Graillat, Stef, Jezequel, Fabienne

Journal:

IEEE Transactions on Computers

Year:

2019

Language:

english

File:

PDF, 539 KB

english, 2019

30

Reproducibility of parallel preconditioned conjugate gradient in hybrid programming environments

Iakymchuk, Roman, VayÃ¡, Maria Barreda, Graillat, Stef, Aliaga, JosÃ© I., Quintana-OrtÃ, Enrique S.

Journal:

International Journal of High Performance Computing Applications

Year:

2020

File:

PDF, 1.06 MB

2020

31

[IEEE 2020 IEEE 27th Symposium on Computer Arithmetic (ARITH) - Portland, OR, USA (2020.6.7-2020.6.10)] 2020 IEEE 27th Symposium on Computer Arithmetic (ARITH) - Alternative Split Functions and Dekkerâs Product

Graillat, Stef, Lefevre, Vincent, Muller, Jean-Michel

Year:

2020

File:

PDF, 534 KB

2020

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