LIX

Results: 507



#Item
1Algebra / Abstract algebra / Mathematics / Finite fields / Group theory / Logarithms / Algebraic number theory / Numerical linear algebra / XTR / Discrete logarithm / Gaussian elimination / Quadratic field

Algebraic techniques for number field computations (extended abstract) Jean-Fran¸cois Biasse1 , Michael J. Jacobson, Jr.2? , and Alan K. Silvester3 ´ Ecole Polytechnique, 91128 Palaiseau, France

Add to Reading List

Source URL: www.lix.polytechnique.fr

Language: English - Date: 2014-09-02 14:57:05
2Computer arithmetic / Mathematics / Arithmetic / Theoretical computer science / Rounding / Division algorithm / Expected value

Stochastic arithmetic in multiprecision Stef Graillat Joint work with Fabienne Jézéquel and Yuxiang Zhu LIP6/PEQUAN - Université Pierre et Marie Curie (Paris 6) - CNRS NSV3, Third International Workshop on Numerical

Add to Reading List

Source URL: www.lix.polytechnique.fr

Language: English - Date: 2010-07-21 10:31:13
3Parallel computing / Computing / Computer engineering / Computer science / Electrical engineering / Electronic engineering / Electromagnetism / Message Passing Interface / Model checking / Computer programming / Computational science / Simulation

The Toolkit for Accurate Scientific Software Stephen F. Siegel, Timothy Zirkel, Yi Wei Verified Software Laboratory Department of Computer and Information Sciences University of Delaware Newark, DE, USA

Add to Reading List

Source URL: www.lix.polytechnique.fr

Language: English - Date: 2010-07-21 10:31:15
4Mathematics / Abstract algebra / Mathematical analysis / Algebraic number theory / Discriminant of an algebraic number field / Riemann hypothesis / Algebraic number field / Table of stars with Bayer designations / Computational complexity of mathematical operations

MATHEMATICS OF COMPUTATION Volume 00, Number 0, Pages 000–000 SXXAN L(1/3) ALGORITHM FOR IDEAL CLASS GROUP AND REGULATOR COMPUTATION IN CERTAIN NUMBER FIELDS

Add to Reading List

Source URL: www.lix.polytechnique.fr

Language: English - Date: 2014-09-02 16:26:26
5Software engineering / Formal methods / Computer programming / Computing / Invariant / Benchmark / Infinite loop

Tool session NSV 3 FLOC 2010, Edinburgh Tool session

Add to Reading List

Source URL: www.lix.polytechnique.fr

Language: English - Date: 2010-07-21 10:31:16
6Mathematical analysis / Numerical analysis / Mathematics / Numerical linear algebra / Root-finding algorithms / Iterative refinement / Residual / Newton's method / Pi / Approximations of / Gradient descent / Mathematical optimization

What is iterative refinement How to use iterative refinement to verify a computed result? Influence of the computing precision Conclusion and future work Iterative refinement:

Add to Reading List

Source URL: www.lix.polytechnique.fr

Language: English - Date: 2010-07-21 10:31:16
7Mathematics / Algebra / Abstract algebra / Algebraic geometry / Bernhard Riemann / Conjectures / Analysis of algorithms / Analytic number theory / Generalized Riemann hypothesis / Big O notation / Valuation / Riemann hypothesis

Subexponential time relations in the class group of large degree number fields Jean-François Biasse University of Calgary 2500 University Drive NW

Add to Reading List

Source URL: www.lix.polytechnique.fr

Language: English - Date: 2016-05-19 16:48:45
8Computing / Software engineering / Computer programming / Array programming languages / High-level programming languages / Parallel computing / Compiler optimizations / Fortran / Functional programming / MATLAB / Argonne National Laboratory / NP

FEVS: A Functional Equivalence Verification Suite Stephen F. Siegel, Timothy K. Zirkel, Yi Wei Supported by the National Science Foundation under Grant No. CCF

Add to Reading List

Source URL: www.lix.polytechnique.fr

Language: English - Date: 2010-07-21 10:31:13
9Cryptography / Stream ciphers / Salsa20 / VEST / Tiny Encryption Algorithm / Keystream / ESTREAM / ICE / Weak key / Data Encryption Standard / Indocrypt

Non-randomness in eSTREAM Candidates Salsa20 and TSC-4 Simon Fischer1 , Willi Meier1 , Cˆ ome Berbain , Jean-Fran¸cois Biasse2 , and M.J.B. Robshaw2 2

Add to Reading List

Source URL: www.lix.polytechnique.fr

Language: English - Date: 2014-09-02 14:57:05
10Algebra / Mathematics / Linear algebra / Numerical linear algebra / Integer factorization algorithms / Polynomials / Gaussian elimination / Quadratic sieve / Index calculus algorithm / Factorization / Factorial / Kernel

Advances in Mathematics of Communications Volume X, No. 0X, 200X, X–XX Web site: http://www.aimSciences.org IMPROVEMENTS IN THE COMPUTATION OF IDEAL CLASS

Add to Reading List

Source URL: www.lix.polytechnique.fr

Language: English - Date: 2014-09-02 16:16:17
UPDATE