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Fast computation of Smith forms of sparse matrices over local rings
Mustafa Elsheikh
,
Mark Giesbrecht
,
Andy Novocin
,
B. David Saunders
Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation, ISSAC'2012 (Grenoble, France, July 22-25, 2012)
, 2012, pp. 146-153
Quadratic-time certificates in linear algebra
Erich L. Kaltofen
,
Michael Nehring
,
B. David Saunders
Proceedings of the 36th International Symposium on Symbolic and Algebraic Computation, ISSAC'2011 (San Jose, CA, USA, June 8-11, 2011)
, 2011, pp. 171-176
Numeric-symbolic exact rational linear system solver
B. David Saunders
,
David Harlan Wood
,
Bryan S. Youse
Proceedings of the 36th International Symposium on Symbolic and Algebraic Computation, ISSAC'2011 (San Jose, CA, USA, June 8-11, 2011)
, 2011, pp. 305-312
On finding multiplicities of characteristic polynomial factors of black-box matrices
Jean-Guillaume Dumas
,
Clément Pernet
,
B. David Saunders
Proceedings of the 2009 International Symposium on Symbolic and Algebraic Computation, ISSAC'2009 (Seoul, Korea, July 28-31, 2009)
, 2009, pp. 135-142
Large matrix, small rank
B. David Saunders
,
Bryan S. Youse
Proceedings of the 2009 International Symposium on Symbolic and Algebraic Computation, ISSAC'2009 (Seoul, Korea, July 28-31, 2009)
, 2009, pp. 317-324
Numerical techniques for computing the inertia of products of matrices of rational numbers
John P. May
,
B. David Saunders
,
David Harlan Wood
Proceedings of the 2007 International Workshop on Symbolic-Numeric Computation, SNC'2007 (London, Ontario, Canada, July 25-27, 2007)
, 2007, pp. 125-132
Signature of symmetric rational matrices and the unitary dual of Lie groups
Jeffrey Adams
,
B. David Saunders
,
Zhendong Wan
Proceedings of the 2005 International Symposium on Symbolic and Algebraic Computation, ISSAC'2005 (Beijing, China, July 24-27, 2005)
, 2004, pp. 13-20
On efficient sparse integer matrix Smith normal form computations
Jean-Guillaume Dumas
,
B. David Saunders
,
Gilles Villard
Journal Symbolic Computation
32
(1-2), 2001, pp. 71-99
Integer Smith form via the valence: Experience with large sparse matrices from homology
Jean-Guillaume Dumas
,
B. David Saunders
,
Gilles Villard
Proceedings of the 2000 International Symposium on Symbolic and Algebraic Computation, ISSAC'2000 (University of St. Andrews, Scotland, August 7-9, 2000)
, 2000, pp. 95-105
Sparse polynomial interpolation in nonstandard bases
Y.N. Lakshman
,
B. David Saunders
SIAM Journal on Computing
24
(2), 1995, pp. 387-397
Fraction free Gaussian elimination for sparse matrices
Hong R. Lee
,
B. David Saunders
Journal Symbolic Computation
19
(5), 1995, pp. 393-402
On computing sparse shifts for univariate polynomials
Y.N. Lakshman
,
B. David Saunders
Proceedings of the 1994 International Symposium on Symbolic and Algebraic Computation, ISSAC'94 (Oxford, England, United Kingdom, July 20-22, 1994)
, 1994, pp. 108-113
On Wiedemann's method of solving sparse linear systems
Erich Kaltofen
,
B. David Saunders
Lecture Notes in Computer Science
539
, 1991, pp. 29-38
A parallel implementation of the cylindrical algebraic decomposition algorithm
B. David Saunders
,
Hong R. Lee
,
S. Kamal Abdali
Proceedings of the 1989 International Symposium on Symbolic and Algebraic Computation, ISSAC'89 (Portland, Oregon, July 17-19, 1989)
, 1989, pp. 298-307
Fast parallel computation of Hermite and Smith forms of polynomial matrices
Erich Kaltofen
,
M.S. Krishnamoorthy
,
B. David Saunders
SIAM Journal on Algebraic Discrete Methods
8
, 1987, pp. 683-690