2008 |
88 | EE | Erich Kaltofen,
Pascal Koiran:
Expressing a fraction of two determinants as a determinant.
ISSAC 2008: 141-146 |
87 | EE | Erich Kaltofen,
Bin Li,
Zhengfeng Yang,
Lihong Zhi:
Exact certification of global optimality of approximate factorizations via rationalizing sums-of-squares with floating point scalars.
ISSAC 2008: 155-164 |
86 | EE | Erich Kaltofen,
John P. May,
Zhengfeng Yang,
Lihong Zhi:
Approximate factorization of multivariate polynomials using singular value decomposition.
J. Symb. Comput. 43(5): 359-376 (2008) |
2007 |
85 | EE | Erich Kaltofen,
Zhengfeng Yang:
On exact and approximate interpolation of sparse rational functions.
ISSAC 2007: 203-210 |
84 | EE | Erich Kaltofen,
Zhengfeng Yang,
Lihong Zhi:
On probabilistic analysis of randomization in hybrid symbolic-numeric algorithms.
SNC 2007: 11-17 |
83 | EE | Erich Kaltofen,
Bin Li,
Kartik Sivaramakrishnan,
Zhengfeng Yang,
Lihong Zhi:
Lower bounds for approximate factorizations via semidefinite programming: (extended abstract).
SNC 2007: 203-204 |
2006 |
82 | | Wolfram Decker,
Mike Dewar,
Erich Kaltofen,
Stephen M. Watt:
Challenges in Symbolic Computation Software, 02.07. - 07.07.2006
Internationales Begegnungs- und Forschungszentrum fuer Informatik (IBFI), Schloss Dagstuhl, Germany 2006 |
81 | EE | Wolfram Decker,
Mike Dewar,
Erich Kaltofen,
Stephen M. Watt:
06271 Abstracts Collection -- Challenges in Symbolic Computation Software.
Challenges in Symbolic Computation Software 2006 |
80 | EE | Wolfram Decker,
Mike Dewar,
Erich Kaltofen,
Stephen M. Watt:
06271 Executive Summary - Challenges in Symbolic Computation Software.
Challenges in Symbolic Computation Software 2006 |
79 | EE | Erich Kaltofen,
Pascal Koiran:
Finding small degree factors of multivariate supersparse (lacunary) polynomials over algebraic number fields.
ISSAC 2006: 162-168 |
78 | EE | Erich Kaltofen,
Zhengfeng Yang,
Lihong Zhi:
Approximate greatest common divisors of several polynomials with linearly constrained coefficients and singular polynomials.
ISSAC 2006: 169-176 |
77 | EE | Erich Kaltofen,
Lihong Zhi:
Hybrid symbolic-numeric computation.
ISSAC 2006: 7 |
2005 |
76 | EE | Erich Kaltofen,
Pascal Koiran:
On the complexity of factoring bivariate supersparse (Lacunary) polynomials.
ISSAC 2005: 208-215 |
75 | EE | Erich Kaltofen,
Dmitriy Morozov,
George Yuhasz:
Generic matrix multiplication and memory management in linBox.
ISSAC 2005: 216-223 |
74 | EE | Erich Kaltofen,
Gilles Villard:
On the complexity of computing determinants.
Computational Complexity 13(3-4): 91-130 (2005) |
2004 |
73 | EE | Shuhong Gao,
Erich Kaltofen,
John May,
Zhengfeng Yang,
Lihong Zhi:
Approximate factorization of multivariate polynomials via differential equations.
ISSAC 2004: 167-174 |
72 | EE | Shuhong Gao,
Erich Kaltofen,
Alan G. B. Lauder:
Deterministic distinct-degree factorization of polynomials over finite fields.
J. Symb. Comput. 38(6): 1461-1470 (2004) |
2003 |
71 | EE | Erich Kaltofen,
John May:
On approximate irreducibility of polynomials in several variables.
ISSAC 2003: 161-168 |
70 | EE | Erich Kaltofen:
Polynomial factorization: a success story.
ISSAC 2003: 3-4 |
69 | EE | Erich Kaltofen,
Wen-shin Lee:
Early termination in sparse interpolation algorithms.
J. Symb. Comput. 36(3-4): 365-400 (2003) |
68 | EE | Mark Giesbrecht,
Erich Kaltofen,
Wen-shin Lee:
Algorithms for computing sparsest shifts of polynomials in power, Chebyshev, and Pochhammer bases.
J. Symb. Comput. 36(3-4): 401-424 (2003) |
2002 |
67 | EE | Mark Giesbrecht,
Erich Kaltofen,
Wen-shin Lee:
Algorithms for computing the sparsest shifts of polynomials via the Berlekamp/Massey algorithm.
ISSAC 2002: 101-108 |
66 | EE | Erich Kaltofen:
An output-sensitive variant of the baby steps/giant steps determinant algorithm.
ISSAC 2002: 138-144 |
2000 |
65 | EE | Erich Kaltofen,
Wen-shin Lee,
A. Lobo:
Early termination in Ben-Or/Tiwari sparse interpolation and a hybrid of Zippel's algorithm.
ISSAC 2000: 192-201 |
64 | | Erich Kaltofen:
Challenges of Symbolic Computation: My Favorite Open Problems.
J. Symb. Comput. 29(6): 891-919 (2000) |
1999 |
63 | EE | Markus A. Hitz,
Erich Kaltofen,
Yagati N. Lakshman:
Efficient Algorithms for Computing the Nearest Polynomial with a Real Root and Related Problems.
ISSAC 1999: 205-212 |
62 | EE | Laurent Bernardin,
Bruce W. Char,
Erich Kaltofen:
Symbolic Computation in Java: An Appraisement.
ISSAC 1999: 237-244 |
61 | EE | Erich Kaltofen,
Michael B. Monagan:
On the Genericity of the Modular Polynomial GCD Algorithm.
ISSAC 1999: 59-66 |
60 | EE | Erich Kaltofen,
A. Lobo:
Distributed Matrix-Free Solution of Large Sparse Linear Systems over Finite Fields.
Algorithmica 24(3-4): 331-348 (1999) |
1998 |
59 | EE | Markus A. Hitz,
Erich Kaltofen:
Efficient Algorithms for Computing the Nearest Polynomial with Constrained Roots.
ISSAC 1998: 236-243 |
58 | EE | Angel Díaz,
Erich Kaltofen:
FOXBOX: A System for Manipulating Symbolic Objects in Black Box Representation.
ISSAC 1998: 30-37 |
57 | | Erich Kaltofen,
Victor Shoup:
Subquadratic-time factoring of polynomials over finite fields.
Math. Comput. 67(223): 1179-1197 (1998) |
1997 |
56 | | Wayne Eberly,
Erich Kaltofen:
On Randomized Lanczos Algorithms.
ISSAC 1997: 176-183 |
55 | | Erich Kaltofen,
Victor Shoup:
Fast Polynomial Factorization Over High Algebraic Extensions of Finite Fields.
ISSAC 1997: 184-188 |
54 | | Angel Díaz,
Erich Kaltofen,
Victor Y. Pan:
Algebraic Algorithms.
The Computer Science and Engineering Handbook 1997: 226-249 |
53 | | Erich Kaltofen:
Teaching Computational Abstract Algebra.
J. Symb. Comput. 23(5/6): 503-515 (1997) |
1996 |
52 | EE | Erich Kaltofen,
A. Lobo:
On Rank Properties of Toeplitz Matrices over Finite Fields.
ISSAC 1996: 241-249 |
51 | EE | Úlfar Erlingsson,
Erich Kaltofen,
David R. Musser:
Generic Gram-Schmidt Orthogonalization by Exact Division.
ISSAC 1996: 275-282 |
1995 |
50 | EE | Angel Díaz,
Erich Kaltofen:
On Computing Greatest Common Divisors with Polynomials Given by Black Boxes for Their Evaluations.
ISSAC 1995: 232-239 |
49 | | Mehrdad Samadani,
Erich Kaltofen:
Prediction Based Task Scheduling in Distributed Computing (Abstract).
PODC 1995: 261 |
48 | EE | Erich Kaltofen,
Victor Shoup:
Subquadratic-time factoring of polynomials over finite fields.
STOC 1995: 398-406 |
47 | | Markus A. Hitz,
Erich Kaltofen:
Integer Division in Residue Number Systems.
IEEE Trans. Computers 44(8): 983-989 (1995) |
46 | | Erich Kaltofen:
Effective Noether Irreducibility Forms and Applications.
J. Comput. Syst. Sci. 50(2): 274-295 (1995) |
45 | | Angel Díaz,
Markus A. Hitz,
Erich Kaltofen,
A. Lobo,
T. Valente:
Process Scheduling in DSC and the Large Sparse Linear Systems Challenge.
J. Symb. Comput. 19(1-3): 269-282 (1995) |
1994 |
44 | EE | Erich Kaltofen:
Asymptotically Fast Solution of Toeplitz-like Singular Linear Systems.
ISSAC 1994: 297-304 |
43 | EE | Erich Kaltofen,
A. Lobo:
Factoring High-Degree Polynomials by the Black Box Berlekamp Algorithm.
ISSAC 1994: 90-98 |
1993 |
42 | | Erich Kaltofen:
Analysis of Coppersmith's Block Wiedemann Algorithm for the Parallel Solution of Sparse Linear Systems.
AAECC 1993: 195-212 |
41 | | Angel Díaz,
Markus A. Hitz,
Erich Kaltofen,
A. Lobo,
T. Valente:
Process Scheduling in DSC and the Large Sparse Linear Systems Challenge.
DISCO 1993: 66-80 |
1992 |
40 | | Erich Kaltofen,
Victor Y. Pan:
Processor-Efficient Parallel Solution of Linear Systems II: The Positive Characteristic and Singular Cases (Extended Abstract)
FOCS 1992: 714-723 |
39 | EE | Erich Kaltofen:
On Computing Determinants of Matrices without Divisions.
ISSAC 1992: 342-349 |
38 | | Erich Kaltofen:
Polynomial Factorization 1987-1991.
LATIN 1992: 294-313 |
1991 |
37 | | Erich Kaltofen,
B. David Saunders:
On Wiedemann's Method of Solving Sparse Linear Systems.
AAECC 1991: 29-38 |
36 | EE | Angel Díaz,
Erich Kaltofen,
K. Schmitz,
T. Valente:
DSC: A System for Distributed Symbolic Computation.
ISSAC 1991: 323-332 |
35 | EE | Erich Kaltofen,
Victor Y. Pan:
Processor Efficient Parallel Solution of Linear Systems over an Abstract Field.
SPAA 1991: 180-191 |
34 | | Erich Kaltofen:
Effective Noether Irreducibility Forms and Applications (Extended Abstract)
STOC 1991: 54-63 |
33 | | David G. Cantor,
Erich Kaltofen:
On Fast Multiplication of Polynomials over Arbitrary Algebras.
Acta Inf. 28(7): 693-701 (1991) |
1990 |
32 | EE | Erich Kaltofen,
Yagati N. Lakshman,
J.-M. Wiley:
Modular Rational Sparse Multivariate Polynomial Interpolation.
ISSAC 1990: 135-139 |
31 | | Erich Kaltofen:
Computing the Irreducible Real Factors and Components of an Algebraic Curve.
Appl. Algebra Eng. Commun. Comput. 1: 135-148 (1990) |
30 | | Erich Kaltofen,
Bruno Buchberger:
Special Issue Computational Algebraic Complexity Editorial.
J. Symb. Comput. 9(3): 225-228 (1990) |
29 | | Erich Kaltofen,
Barry M. Trager:
Computing with Polynomials Given By Black Boxes for Their Evaluations: Greatest Common Divisors, Factorization, Separation of Numerators and Denominators.
J. Symb. Comput. 9(3): 301-320 (1990) |
1989 |
28 | EE | John F. Canny,
Erich Kaltofen,
Yagati N. Lakshman:
Solving Systems of Nonlinear Polynomial Equations Faster.
ISSAC 1989: 121-128 |
27 | EE | Erich Kaltofen,
T. Valente,
Norika Yui:
An Improved Las Vegas Primality Test.
ISSAC 1989: 26-33 |
26 | EE | Erich Kaltofen:
Computing the Irreducible Real Factors and Components of an Algebraic Curve.
Symposium on Computational Geometry 1989: 79-87 |
1988 |
25 | | Erich Kaltofen,
Barry M. Trager:
Computing with Polynomials Given By Black Boxes for Their Evaluation: Greatest Common Divisors, Factorization, Separation of Numerators and Denominators
FOCS 1988: 296-305 |
24 | | Erich Kaltofen,
Yagati N. Lakshman:
Improved Sparse Multivariate Polynomial Interpolation Algorithms.
ISSAC 1988: 467-474 |
23 | EE | Erich Kaltofen:
Greatest common divisors of polynomials given by straight-line programs.
J. ACM 35(1): 231-264 (1988) |
22 | | Gary L. Miller,
Vijaya Ramachandran,
Erich Kaltofen:
Efficient Parallel Evaluation of Straight-Line Code and Arithmetic Circuits.
SIAM J. Comput. 17(4): 687-695 (1988) |
1987 |
21 | | Erich Kaltofen,
Mukkai S. Krishnamoorthy,
B. David Saunders:
Mr. Smith goes to Las Vegas: Randomized parallel computation of the Smith Normal Form of polynomial matrices.
EUROCAL 1987: 317-322 |
20 | | Erich Kaltofen:
Single-Factor Hensel Lifting and its Application to the Straight-Line Complexity of Certain Polynomials
STOC 1987: 443-452 |
19 | | Erich Kaltofen:
Deterministic Irreducibility Testing of Polynomials over Large Finite Fields.
J. Symb. Comput. 4(1): 77-82 (1987) |
1986 |
18 | | Gary L. Miller,
Vijaya Ramachandran,
Erich Kaltofen:
Efficient Parallel Evaluation of Straight-line Code and Arithmetric Circuits.
Aegean Workshop on Computing 1986: 236-245 |
17 | | Erich Kaltofen:
Uniform Closure Properties of P-Computable Functions
STOC 1986: 330-337 |
1985 |
16 | | Erich Kaltofen,
Heinrich Rolletschek:
Arithmetic in Quadratic Fields with Unique Factorization.
European Conference on Computer Algebra (2) 1985: 279-288 |
15 | | Erich Kaltofen:
Sparse Hensel Lifting.
European Conference on Computer Algebra (2) 1985: 4-17 |
14 | | Erich Kaltofen:
Computing with Polynomials Given by Straight-Line Programs II: Sparse Factorization
FOCS 1985: 451-458 |
13 | | Erich Kaltofen:
Computing with Polynomials Given by Straight-Line Programs I: Greatest Common Divisors
STOC 1985: 131-142 |
12 | | Erich Kaltofen:
Effective Hilbert Irreducibility
Information and Control 66(3): 123-137 (1985) |
11 | | Joachim von zur Gathen,
Erich Kaltofen:
Factoring Sparse Multivariate Polynomials.
J. Comput. Syst. Sci. 31(2): 265-287 (1985) |
10 | | Erich Kaltofen:
Fast Parallel Absolute Irreducibility Testing.
J. Symb. Comput. 1(1): 57-67 (1985) |
9 | | Erich Kaltofen:
Polynomial-Time Reductions from Multivariate to Bi- and Univariate Integral Polynomial Factorization.
SIAM J. Comput. 14(2): 469-489 (1985) |
1984 |
8 | | Erich Kaltofen:
Effective Hilbert Irreducibility.
EUROSAM 1984: 277-284 |
7 | | Erich Kaltofen,
Noriko Yui:
Explicit Construction of the Hilbert Class Fields of Imaginary Quadratic Fields with Class Numbers 7 and 11.
EUROSAM 1984: 310-320 |
6 | | Erich Kaltofen:
A Note on the Risch Differential Equation.
EUROSAM 1984: 359-366 |
1983 |
5 | | Erich Kaltofen:
On the complexity of finding short vectors in integer lattices.
EUROCAL 1983: 236-244 |
4 | | Joachim von zur Gathen,
Erich Kaltofen:
Polynomial-Time Factorization of Multivariate Polynomials over Finite Fields.
ICALP 1983: 250-263 |
3 | | Erich Kaltofen,
David R. Musser,
B. David Saunders:
A Generalized Class of Polynomials that are Hard to Factor.
SIAM J. Comput. 12(3): 473-483 (1983) |
1982 |
2 | | Erich Kaltofen:
A Polynomial-Time Reduction from Bivariate to Univariate Integral Polynomial Factorization
FOCS 1982: 57-64 |
1 | | Erich Kaltofen:
A Polynomial Reduction from Multivariate to Bivariate Integral Polynomial Factorization
STOC 1982: 261-266 |