-
3
-
-
21844436353
-
A BLAS based C library for exact linear algebra on integer matrices
-
M. Kauers, editor, ACM Press, New York
-
Z. Chen and A. Storjohann. A BLAS based C library for exact linear algebra on integer matrices. In M. Kauers, editor, Proc. Int'l. Symp. on Symbolic and Algebraic Computation: ISSAC '05, pages 92-99. ACM Press, New York, 2005.
-
(2005)
Proc. Int'l. Symp. on Symbolic and Algebraic Computation: ISSAC '05
, pp. 92-99
-
-
Chen, Z.1
Storjohann, A.2
-
4
-
-
79952496652
-
Solving very sparse rational systems of equations
-
21, February
-
W. Cook and D. E. Steffy. Solving very sparse rational systems of equations. ACM Trans. Math. Softw., 37:39:1-39:21, February 2011.
-
(2011)
ACM Trans. Math. Softw.
, vol.37
, Issue.39
, pp. 1-39
-
-
Cook, W.1
Steffy, D.E.2
-
5
-
-
0001380055
-
Exact solution of linear equations using p-adic expansions
-
J. D. Dixon. Exact solution of linear equations using p-adic expansions. Numerische Mathematik, 40:137-141, 1982.
-
(1982)
Numerische Mathematik
, vol.40
, pp. 137-141
-
-
Dixon, J.D.1
-
6
-
-
27644502063
-
LinBox: A generic library for exact linear algebra
-
A. J. Cohen and N. Gao, X.-S. andl Takayama, editors, Singapore, World Scientific
-
J.-G. Dumas, T. Gautier, M. Giesbrecht, P. Giorgi, B. Hovinen, E. Kaltofen, B. D. Saunders, W. J. Turner, and G. Villard. LinBox: A generic library for exact linear algebra. In A. J. Cohen and N. Gao, X.-S. andl Takayama, editors, Proc. First Internat. Congress Math. Software ICMS 2002, Beijing, China, pages 40-50, Singapore, 2002. World Scientific.
-
(2002)
Proc. First Internat. Congress Math. Software ICMS 2002, Beijing, China
, pp. 40-50
-
-
Dumas, J.-G.1
Gautier, T.2
Giesbrecht, M.3
Giorgi, P.4
Hovinen, B.5
Kaltofen, E.6
Saunders, B.D.7
Turner, W.J.8
Villard, G.9
-
7
-
-
0001291589
-
Computing gcds of polynomials over algebraic number fields
-
September
-
M. J. Encarnación. Computing gcds of polynomials over algebraic number fields. J. Symb. Comput., 20:299-313, September 1995.
-
(1995)
J. Symb. Comput.
, vol.20
, pp. 299-313
-
-
Encarnación, M.J.1
-
9
-
-
33749544918
-
-
PhD thesis, École normale supérieure de Lyon, LIP, Lyon, France, December
-
P. Giorgi. Arithmetic and algorithmic in exact linear algebra for the LinBox library. PhD thesis, École normale supérieure de Lyon, LIP, Lyon, France, December 2004.
-
(2004)
Arithmetic and Algorithmic in Exact Linear Algebra for the LinBox Library
-
-
Giorgi, P.1
-
11
-
-
85032068767
-
Computing greatest common divisors and factorizations in quadratic number fields
-
E. Kaltofen and H. Rolletschek. Computing greatest common divisors and factorizations in quadratic number fields. Math. Comput., 53(188), 1989.
-
(1989)
Math. Comput.
, vol.53
, Issue.188
-
-
Kaltofen, E.1
Rolletschek, H.2
-
12
-
-
36348985539
-
On exact and approximate interpolation of sparse rational functions
-
J. P. May, editor, ACM Press, New York
-
E. Kaltofen and Z. Yang. On exact and approximate interpolation of sparse rational functions. In J. P. May, editor, Proc. Int'l. Symp. on Symbolic and Algebraic Computation: ISSAC '07, pages 203-210. ACM Press, New York, 2007.
-
(2007)
Proc. Int'l. Symp. on Symbolic and Algebraic Computation: ISSAC '07
, pp. 203-210
-
-
Kaltofen, E.1
Yang, Z.2
-
13
-
-
0022012583
-
The computational complexity of simultaneous diophantine approximation problems
-
J. C. Lagarias. The computational complexity of simultaneous diophantine approximation problems. SIAM Journal of Computing, 14(1):196-209, 1985.
-
(1985)
SIAM Journal of Computing
, vol.14
, Issue.1
, pp. 196-209
-
-
Lagarias, J.C.1
-
14
-
-
34250244723
-
Factoring polynomials with rational coefficients
-
A. K. Lenstra, H. W. Lenstra, and L. Lovász. Factoring polynomials with rational coefficients. Math. Ann., 261:515-534, 1982.
-
(1982)
Math. Ann.
, vol.261
, pp. 515-534
-
-
Lenstra, A.K.1
Lenstra, H.W.2
Lovász, L.3
-
15
-
-
33748955102
-
Half-GCD and fast rational recovery
-
M. Kauers, editor, ACM Press, New York, Extended version available at
-
D. Lichtblau. Half-GCD and fast rational recovery. In M. Kauers, editor, Proc. Int'l. Symp. on Symbolic and Algebraic Computation: ISSAC '05, pages 231-236. ACM Press, New York, 2005. Extended version available at http://library.wolfram.com/infocenter/Conferences/7534/HGCD-and-planar-lattices. pdf.
-
(2005)
Proc. Int'l. Symp. on Symbolic and Algebraic Computation: ISSAC '05
, pp. 231-236
-
-
Lichtblau, D.1
-
16
-
-
27644457134
-
Maximal quotient rational reconstruction: An almost optimal algorithm for rational reconstruction
-
J. Gutierrez, editor, ACM Press, New York
-
M. Monagan. Maximal quotient rational reconstruction: an almost optimal algorithm for rational reconstruction. In J. Gutierrez, editor, Proc. Int'l. Symp. on Symbolic and Algebraic Computation: ISSAC '04, pages 243-249. ACM Press, New York, 2004.
-
(2004)
Proc. Int'l. Symp. on Symbolic and Algebraic Computation: ISSAC '04
, pp. 243-249
-
-
Monagan, M.1
-
17
-
-
77953510869
-
An LLL algorithm with quadratic complexity
-
P. Q. Nguyen and D. Stehlé. An LLL algorithm with quadratic complexity. SIAM Journal on Computing, 39(3):874-903, 2009.
-
(2009)
SIAM Journal on Computing
, vol.39
, Issue.3
, pp. 874-903
-
-
Nguyen, P.Q.1
Stehlé, D.2
-
22
-
-
79952515563
-
Exact solutions to linear systems of equations using output sensitive lifting
-
January
-
D. E. Steffy. Exact solutions to linear systems of equations using output sensitive lifting. SIGSAM Bull., 44:160-182, January 2011.
-
(2011)
SIGSAM Bull.
, vol.44
, pp. 160-182
-
-
Steffy, D.E.1
-
23
-
-
77953488401
-
Gradual sub-lattice reduction and a new complexity for factoring polynomials
-
A. López-Ortiz, editor, LATIN 2010: Theoretical Informatics, Springer Berlin / Heidelberg
-
M. van Hoeij and A. Novocin. Gradual sub-lattice reduction and a new complexity for factoring polynomials. In A. López-Ortiz, editor, LATIN 2010: Theoretical Informatics, volume 6034 of Lecture Notes in Computer Science, pages 539-553. Springer Berlin / Heidelberg, 2010.
-
(2010)
Lecture Notes in Computer Science
, vol.6034
, pp. 539-553
-
-
Van Hoeij, M.1
Novocin, A.2
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