- 1
-
B. D. Saunders and Z. Wan.
Hybrid methods for smith normal form of sparse integer matrices.
(postscript),
2006.
- 2
-
J. Adams, B. D. Saunders, and Z. Wan.
Signature of symmetric rational matrices and the unitary dual of lie
groups.
In ISSAC 05 Proc. 2005 Internat. Symp. Symbolic Algebraic
Comput., pages 13-20. ACM Press, 2005.
- 3
-
B. D. Saunders and Z. Wan.
Smith normal form of dense integer matrices, fast algorithms into
practice.
In ISSAC 04 Proc. 2004 Internat. Symp. Symbolic Algebraic
Comput., pages 274-281. ACM Press, 2004.
- 4
-
Z. Wan and B. D. Saunders.
Tighter probability bounds for randomized linear algebra algorithms.
May 8, 2004.
- 5
-
B. D. Saunders, A. Storjohann, and G. Villard.
Matrix rank certification.
Electronic J. of Linear Algebra, 11:16-23, 2004.
- 6
-
J-G Dumas, F. Heckenbach, D. Saunders, and V. Welker.
Computing simplicial homology based on efficient smith normal form
algorithms.
In M. Joswig and N. Takayama, editors, Algebra, Geometry, and
Software Systems, pages 177-206. Springer Verlag, 2003.
(gzipped postscript).
- 7
-
A. Duran, B. D. Saunders, and Z. Wan.
Rank of sparse 0,1,-1 matrices.
In Proceeding of the SIAM International Conference on Applied
Linear Algebra. online at www.siam.org/meetings/la03/proceedings,
2003.
(gzipped pdf).
- 8
-
A. Lobo, B. D. Saunders, and Z. Wan.
Rank and smith form of extremely sparse matrices.
In International Conference on Applications of Computer
Algebra. No proceedings, 2003.
- 9
-
E. Kaltofen and B. D. Saunders.
Linear systems.
In J. Grabmeier, E. Kaltofen, and V. Weispfenning, editors, Computer Algebra Handbook, pages 36-38. Springer Verlag, 2003.
- 10
-
Z. Wan and D. Saunders.
Exact solution to large sparse integer linear systems.
2002.
- 11
-
A. Duran and D. Saunders.
Genblas: Basic linear algebra subroutines in c++ over any fields.
2002.
- 12
-
Dumas, Gautier, Giesbrecht, Giorgi, Hovinen, Kaltofen, Saunders, Turner, and
Villard.
Linbox: A generic library for exact linear algebra.
In A. Cohen, X-S Gao, and N. Takayama, editors, Mathematical
Software: ICMS 2002 (Proceedings of the first International Congress of
Mathematical Software), pages 40-50. World Scientific, 2002.
- 13
-
L. Chen, W. Eberly, E. Kaltofen, W. J. Turner, B. D. Saunders, and G. Villard.
Efficient matrix preconditioners for black box linear algebra.
Linear Algebra and Applications, 343-344:119-146, 2002.
- 14
-
B. D. Saunders.
Black box methods for least squares problems.
In ISSAC 01 Proc. 2001 Internat. Symp. Symbolic Algebraic
Comput., pages 297-302. ACM Press, 2001.
- 15
-
J-G. Dumas, B. D. Saunders, and G. Villard.
On efficient sparse integer matrix smith normal form computations.
J. Symbolic Comput., 32:71-99, 2001.
- 16
-
J-G. Dumas, B. D. Saunders, and G. Villard.
Integer smith form via the valence: Experience with large sparse
matrices from homology.
In ISSAC 00 Proc. 2000 Internat. Symp. Symbolic Algebraic
Comput., pages 95-105. ACM Press, 2000.
- 17
-
Giesbrecht, A. Lobo, and B. D. Saunders.
Certifying inconsistency of sparse linear systems.
In ISSAC 98 Proc. 1998 Internat. Symp. Symbolic Algebraic
Comput., pages 113-119. ACM Press, 1998.
(postscript).
- 18
-
M. W. Giesbrecht and B. D. Saunders.
Solving parametric linear systems.
(postscript),
1998.
- 19
-
M. W. Giesbrecht and B. D. Saunders.
Parametric linear systems, the bivariate case.
1997.
- 20
-
M. W. Giesbrecht, B. D. Saunders, and A. Lobo.
A fast certificate of inconsistency for large sparse linear systems.
1997.
- 21
-
B. D. Saunders.
Parameter
indeterminate.
1997.
- 22
-
Lakshman Y. N. and B. D. Saunders.
On computing sparse shifts for univariate polynomials.
J. of AAECC, 7,5:351-364, 1996.
(postscript).
- 23
-
Lakshman Y. N. and B. D. Saunders.
Sparse polynomial interpolation in non-standard bases.
SIAM J. Comput., 24(2):387-397, 1995.
(postscript).
- 24
-
H. R. Lee and B. D. Saunders.
Fraction free gaussian elimination for sparse matrices.
J. Symbolic Comput., 19:393-402, 1995.
(postscript).
- 25
-
B. Char, J. Johnson, B. D. Saunders, and A. Wack.
Some experiments with parallel bignum arithmetic.
In Proc. 1994 Internat. Symp. Parallel Symbolic Comput.
PASCO, pages 94-103. World Scientific, 1994.
(postscript).
- 26
-
Lakshman Y. N. and B. D. Saunders.
A note on computing sparse shifts for univariate polynomials.
In ISSAC '94 Proc. Internat. Symp. Symbolic Algebraic
Comput., pages 108-113, 1994.
- 27
-
E. Kaltofen and B. D. Saunders.
On Wiedemann's method of solving sparse linear systems.
In H. F. Mattson, T. Mora, and T. R. N. Rao, editors, Proc.
AAECC-9, volume 539 of Lect. Notes Comput. Sci., pages 29-38,
Heidelberg, Germany, 1991. Springer Verlag.
(postscript).
- 28
-
B. M. Char, R. H. Shtokhamer, and B. D. Saunders.
Distributed computation of minor expansions.
Technical Report Drexel Department of Mathematics and Computer
Science Technical Report MCS-91-2.
- 29
-
H. R. Lee, B. D. Saunders, and R. H. Shtokhamer.
On scheduling algebraic algorithms for parallel execution.
Technical Report U. of Delaware Department of Computer and
Information Sciences Technical Report CIS TR-9015.
postscript.
- 30
-
E. Kaltofen, M. S. Krishnamoorthy, and B. D. Saunders.
Parallel algorithms for matrix normal forms.
Linear Algebra and Applications, 136:189-208, 1990.
- 31
-
E. Kaltofen, M. S. Krishnamoorthy, and B. D. Saunders.
Mr. Smith goes to Las Vegas: Randomized parallel computation of
the Smith normal form of polynomial matrices.
In J. H. Davenport, editor, Proc. EUROCAL '87, volume 378 of
Lect. Notes Comput. Sci., pages 317-322, Heidelberg, Germany, 1989.
Springer Verlag.
Journal version in [30].
- 32
-
B. D. Saunders, H. R. Lee, and S. K. Abdali.
A parallel implementation of the cylindrical algebraic decomposition
algorithm.
- 33
-
B. D. Saunders.
Matrix computations in computer algebra systems.
Technical Report U. of Delaware Center for Mathematical Computation
Technical Report CMC-8808.
- 34
-
E. Kaltofen, M. S. Krishnamoorthy, and B. D. Saunders.
Fast parallel computation of Hermite and Smith forms of
polynomial matrices.
SIAM J. Alg. Discrete Math., 8:683-690, 1987.
- 35
-
E. Kaltofen, M. S. Krishnamoorthy, and B. D. Saunders.
Fast parallel algorithms for similarity of matrices.
In B. W. Char, editor, Proc. 1986 ACM Symp. Symbolic and
Algebraic Comput., pages 65-70, New York, N. Y., 1986. ACM.
Journal version in [34] and [30].
- 36
-
S. K. Abdali and B. D. Saunders.
Transitive closure and related semiring properties via eliminants.
Theoretical Computer Science, 40:257-274, 1985.
- 37
-
B.F. Caviness, B. D. Saunders, and M.F. Singer.
An extension of Liouville's theorem on integration in finite terms.
SIAM J. Comput., 14:966-990, 1985.
- 38
-
A. Kandri Rody and B. D. Saunders.
Primality of ideals in polynomial rings.
In Proc. 1984 MACSYMA Users Conference, pages 459-471, 1984.
- 39
-
S. Agnarsson, A. Kandri Rody, D. Kapur, P. Narendran, and B. D. Saunders.
Complexity of testing whether a polynomial ideal is nontrivial.
In Proc. 1984 MACSYMA Users Conference, pages 452-458, 1984.
- 40
-
N. Glinos and B. D. Saunders.
Operational calculus techniques for solving differential equations.
In EUROSAM '84, pages 23-34, 1984.
- 41
-
E. Kaltofen, D. R. Musser, and B. D. Saunders.
A generalized class of polynomials that are hard to factor.
SIAM J. Comput., 12(3):473-485, 1983.
- 42
-
E. Kaltofen, D. R. Musser, and B. D. Saunders.
A generalized class of polynomials that are hard to factor, extended
abstract.
In Proc. 1981 ACM Symp. Symbolic and Algebraic Comput., pages
188-194. ACM, 1981.
Journal version in [41].
- 43
-
A. Berman and B. D. Saunders.
Matrices with zero-line-sums and maximal rank.
Linear Algebra and Applications, 40:229-235, 1981.
- 44
-
B.F. Caviness, B. D. Saunders, and M.F. Singer.
An extension of Liouville's theorem on integration in finite terms
(extended abstract).
In Proc. 1981 ACM Symp. Symbolic and Algebraic Comput., pages
23-24, 1981.
Journal version in [37].
- 45
-
B. D. Saunders.
An implementation of Kovacic's algorithm for solving second order
linear homogeneous differential equations.
In Proc. 1981 ACM Symp. Symbolic and Algebraic Comput., pages
105-108. ACM, 1981.
- 46
-
B. D. Saunders and Hans Schneider.
Applications of the Gordan-Stiemke theorem in combinatorial
matrix theory.
SIAM Review, 21:528-541, 1979.
- 47
-
B. D. Saunders and Hans Schneider.
Cones, graphs and optimal scalings of matrices.
Linear and Multilinear Algebra, 8:121-135, 1979.
- 48
-
B. D. Saunders and Hans Schneider.
Flows on graphs applied to diagonal similarity and diagonal
equivalence for matrices.
Discrete Mathematics, 24:205-220, 1978.
- 49
-
B. E. Cain, B. D. Saunders, and Hans Schneider.
On the geometry of dual pairs.
Studies in Appl. Math., 56:71-79, 1977.
- 50
-
B. D. Saunders.
A condition for the convexity of the norm-numerical range of a
matrix.
Linear Algebra and Applications, 16:167-175, 1977.
- 51
-
B. D. Saunders and Hans Schneider.
A symmetric numerical range for matrices.
Numerische Math., 26:99-105, 1976.
Dave Saunders
2006-01-16