-
2
-
-
0036049274
-
-
Mora [20]
-
CORLESS, R. M., GALLIGO, A., KOTSIREAS, I. S., AND WATT, S. M. A geometric-numeric algorithm for absolute factorization of multivariate polynomials. In Mora [20], pp. 37-45.
-
A Geometric-Numeric Algorithm for Absolute Factorization of Multivariate Polynomials
, pp. 37-45
-
-
Corless, R.M.1
Galligo, A.2
Kotsireas, I.S.3
Watt, S.M.4
-
3
-
-
0029190375
-
The singular value decomposition for polynomial systems
-
New York, N. Y., A. H. M. Levelt, Ed., ACM Press
-
CORLESS, R. M., GIANNI, P. M., TRAGER, B. M., AND WATT, S. M. The singular value decomposition for polynomial systems. In Proc. 1995 Internat. Symp. Symbolic Algebraic Comput. ISSAC'95 (New York, N. Y., 1995), A. H. M. Levelt, Ed., ACM Press, pp. 96-103.
-
(1995)
Proc. 1995 Internat. Symp. Symbolic Algebraic Comput. ISSAC'95
, pp. 96-103
-
-
Corless, R.M.1
Gianni, P.M.2
Trager, B.M.3
Watt, S.M.4
-
4
-
-
27644527539
-
-
Mourrain [21]
-
CORLESS, R. M., GIESBRECHT, M. W., VAN HOEIJ, M., KOTSIREAS, I. S., AND WATT, S. M. Towards factoring bivariate approximate polynomials. In Mourrain [21], pp. 85-92.
-
Towards Factoring Bivariate Approximate Polynomials
, pp. 85-92
-
-
Corless, R.M.1
Giesbrecht, M.W.2
Van Hoeij, M.3
Kotsireas, I.S.4
Watt, S.M.5
-
5
-
-
0031142120
-
Certified approximate univariate GCDs
-
May Special Issue on Algorithms for Algebra
-
EMIRIS, I. Z., GALLIGO, A., AND LOMBARDI, H. Certified approximate univariate GCDs. J. Pure Applied Algebra 117 & 118 (May 1997), 229-251. Special Issue on Algorithms for Algebra.
-
(1997)
J. Pure Applied Algebra
, vol.117-118
, pp. 229-251
-
-
Emiris, I.Z.1
Galligo, A.2
Lombardi, H.3
-
6
-
-
0030659946
-
A numerical absolute primality test for bivariate polynomials
-
New York, N. Y., W. Küchlin, Ed., ACM Press
-
GALLIGO, A., AND WATT, S. A numerical absolute primality test for bivariate polynomials. In ISSAC 97 Proc. 1997 Internat. Symp. Symbolic Algebraic Comput. (New York, N. Y., 1997), W. Küchlin, Ed., ACM Press, pp. 217-224.
-
(1997)
ISSAC 97 Proc. 1997 Internat. Symp. Symbolic Algebraic Comput.
, pp. 217-224
-
-
Galligo, A.1
Watt, S.2
-
7
-
-
0037376559
-
Factoring multivariate polynomials via partial differential equations
-
GAO, S. Factoring multivariate polynomials via partial differential equations. Math. Comput. 72, 242 (2003), 801-822
-
(2003)
Math. Comput.
, vol.72
, Issue.242
, pp. 801-822
-
-
Gao, S.1
-
9
-
-
0032350188
-
Riemann surfaces, plane algebraic curves and their period matrices
-
GIANNI, P., SEPPÄLÄ, M., SILHOL, R., AND TRAGER, B. Riemann surfaces, plane algebraic curves and their period matrices. J. Symbolic Comput. 26, 6 (1998), 789-803.
-
(1998)
J. Symbolic Comput.
, vol.26
, Issue.6
, pp. 789-803
-
-
Gianni, P.1
Seppälä, M.2
Silhol, R.3
Trager, B.4
-
10
-
-
27644578683
-
Symbolic-numeric sparse interpolation of multivariate polynomials
-
Full paper under preparation
-
GIESBRECHT, M., LABAHN, G., AND LEE, W.-S. Symbolic-numeric sparse interpolation of multivariate polynomials (extended abstract). In Proc. Ninth Rhine Workshop on Computer Algebra (RWCA '04), University of Nijmegen, the Netherlands (2004), pp. 127-139. Full paper under preparation.
-
(2004)
Proc. Ninth Rhine Workshop on Computer Algebra (RWCA '04), University of Nijmegen, the Netherlands
, pp. 127-139
-
-
Giesbrecht, M.1
Labahn, G.2
Lee, W.-S.3
-
11
-
-
0004236492
-
-
Johns Hopkins University Press, Baltimore, Maryland
-
GOLUB, G. H., AND VAN LOAN. C. F. Matrix Computations, third ed. Johns Hopkins University Press, Baltimore, Maryland, 1996.
-
(1996)
Matrix Computations, Third Ed.
-
-
Golub, G.H.1
Van Loan, C.F.2
-
12
-
-
0005459699
-
Efficient algorithms for computing the nearest polynomial with a real root and related problems
-
New York, N. Y., S. Dooley, Ed., ACM Press
-
HITZ, M. A., KALTOFEN, E., AND LAKSHMAN Y. N. Efficient algorithms for computing the nearest polynomial with a real root and related problems. In Proc. 1999 Internat. Symp. Symbolic Algebraic Comput. (ISSAC'99) (New York, N. Y., 1999), S. Dooley, Ed., ACM Press, pp. 205-212.
-
(1999)
Proc. 1999 Internat. Symp. Symbolic Algebraic Comput. (ISSAC'99)
, pp. 205-212
-
-
Hitz, M.A.1
Kaltofen, E.2
Lakshman, Y.N.3
-
13
-
-
0033659250
-
Pseudofactors of multivariate polynomials
-
New York, N. Y., C. Traverso, Ed., ACM Press
-
HUANG, Y., WU, W., STETTER, H. J., AND ZHI, L. Pseudofactors of multivariate polynomials. In Internat. Symp. Symbolic Algebraic Comput. ISSAC 2000 Proc. 2000 Internat. Symp. Symbolic Algebraic Comput. (New York, N. Y., 2000), C. Traverso, Ed., ACM Press, pp. 161-168.
-
(2000)
Internat. Symp. Symbolic Algebraic Comput. ISSAC 2000 Proc. 2000 Internat. Symp. Symbolic Algebraic Comput.
, pp. 161-168
-
-
Huang, Y.1
Wu, W.2
Stetter, H.J.3
Zhi, L.4
-
14
-
-
0022022427
-
Fast parallel absolute irreducibility testing
-
Misprint corrections: J: Symbolic Comput. vol. 9, p. 320 (1989)
-
KALTOFEN, E. Fast parallel absolute irreducibility testing. J. Symbolic Comput. 1, 1 (1985), 57-67. Misprint corrections: J: Symbolic Comput. vol. 9, p. 320 (1989).
-
(1985)
J. Symbolic Comput.
, vol.1
, Issue.1
, pp. 57-67
-
-
Kaltofen, E.1
-
15
-
-
0003043247
-
Challenges of symbolic computation my favorite open problems
-
With an additional open problem by R. M. Corless and D. J. Jeffrey
-
KALTOFEN, E. Challenges of symbolic computation my favorite open problems. J. Symbolic Comput. 29, 6 (2000), 891-919. With an additional open problem by R. M. Corless and D. J. Jeffrey.
-
(2000)
J. Symbolic Comput.
, vol.29
, Issue.6
, pp. 891-919
-
-
Kaltofen, E.1
-
16
-
-
27644512094
-
-
Mar. Colloquium at the University of Waterloo
-
KALTOFEN, E. The art of symbolic computation, Mar. 2002. Colloquium at the University of Waterloo. Transparencies at http://www.math.ncsu.edu/ ~kaltofan/bibliography/02/waterloo.pdf.
-
(2002)
The Art of Symbolic Computation
-
-
Kaltofen, E.1
-
18
-
-
84992074342
-
Computing with polynomials given by black boxes for their evaluations: Greatest common divisors, factorization, separation of numerators and denominators
-
KALTOFEN, E., AND TRAGER, B. Computing with polynomials given by black boxes for their evaluations: Greatest common divisors, factorization, separation of numerators and denominators. J. Symbolic Comput. 9, 3 (1990), 301-320.
-
(1990)
J. Symbolic Comput.
, vol.9
, Issue.3
, pp. 301-320
-
-
Kaltofen, E.1
Trager, B.2
-
23
-
-
27644456797
-
-
June Private email commun.
-
NAGASAKA, K., June 2003. Private email commun.
-
(2003)
-
-
Nagasaka, K.1
-
24
-
-
0000611856
-
Reductibility of polynomials f(x,y) modulo p
-
RUPPERT, W. M. Reductibility of polynomials f(x,y) modulo p. J. Number Theory 77 (1999), 62-70.
-
(1999)
J. Number Theory
, vol.77
, pp. 62-70
-
-
Ruppert, W.M.1
-
25
-
-
1942477615
-
Semi-numerical absolute factorization of polynomials with integer coefficients
-
RUPPRECHT, D. Semi-numerical absolute factorization of polynomials with integer coefficients. J. Symbolic Comput. 37, 5 (2004), 557-574.
-
(2004)
J. Symbolic Comput.
, vol.37
, Issue.5
, pp. 557-574
-
-
Rupprecht, D.1
-
27
-
-
0001569289
-
Analysis of approximate factorization algorithm i
-
Oct.
-
SASAKI, T., SAITO, T., AND HILANO, T. Analysis of approximate factorization algorithm I. Japan J. of Industrial and Applied Mathem. 9, 3 (Oct. 1992), 351-368.
-
(1992)
Japan J. of Industrial and Applied Mathem.
, vol.9
, Issue.3
, pp. 351-368
-
-
Sasaki, T.1
Saito, T.2
Hilano, T.3
-
28
-
-
0000014336
-
Approximate factorization of multivariate polynomials and absolute irreducibility testing
-
Oct.
-
SASAKI, T., SUZUKI, M., KOLÁŘ, M., AND SASAKI, M. Approximate factorization of multivariate polynomials and absolute irreducibility testing. Japan J. of Industrial and Applied Mathem. 8, 3 (Oct. 1991), 357-375.
-
(1991)
Japan J. of Industrial and Applied Mathem.
, vol.8
, Issue.3
, pp. 357-375
-
-
Sasaki, T.1
Suzuki, M.2
Kolář, M.3
Sasaki, M.4
-
30
-
-
2042445705
-
Numerical factorization of multivariate complex polynomials
-
SOMMESE, A. J., VERSCHELDE, J., AND WAMPLER, C. W. Numerical factorization of multivariate complex polynomials. Theoretical Comput. Sci. 315, 2-3 (2004), 651-669.
-
(2004)
Theoretical Comput. Sci.
, vol.315
, Issue.2-3
, pp. 651-669
-
-
Sommese, A.J.1
Verschelde, J.2
Wampler, C.W.3
-
31
-
-
0001162599
-
Error and perturbation bounds for subspaces associated with certain eigenvalue problems
-
Oct.
-
STEWART, G. W. Error and perturbation bounds for subspaces associated with certain eigenvalue problems. SIAM Review 15, 4 (Oct. 1973), 727-764.
-
(1973)
SIAM Review
, vol.15
, Issue.4
, pp. 727-764
-
-
Stewart, G.W.1
-
33
-
-
27644526086
-
The approximate GCD of inexact polynomials part II: A multivariate algorithm
-
New York, N. Y., J. Gutierrez, Ed., ACM Press. These proceedings
-
ZENG, Z., AND DAYTON, B. H. The approximate GCD of inexact polynomials part II: a multivariate algorithm. In ISSAC 2004 Proc. 2004 Internat. Symp. Symbolic Algebraic Comput. (New York, N. Y., 2004), J. Gutierrez, Ed., ACM Press. These proceedings.
-
(2004)
ISSAC 2004 Proc. 2004 Internat. Symp. Symbolic Algebraic Comput.
-
-
Zeng, Z.1
Dayton, B.H.2
-
34
-
-
27644580511
-
Displacement structure in computing approximate GCD of univariate polynomials
-
Proc. Sixth Asian Symposium on Computer Mathematics (ASCM 2003) (Singapore, 2003), Z. Li and W. Sit, Eds., World Scientific
-
ZHI, L. Displacement structure in computing approximate GCD of univariate polynomials. In Proc. Sixth Asian Symposium on Computer Mathematics (ASCM 2003) (Singapore, 2003), Z. Li and W. Sit, Eds., vol. 10 of Lecture Notes Series on Computing, World Scientific, pp. 288-298.
-
Lecture Notes Series on Computing
, vol.10
, pp. 288-298
-
-
Zhi, L.1
|