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Erich Kaltofen

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2008
88EEErich Kaltofen, Pascal Koiran: Expressing a fraction of two determinants as a determinant. ISSAC 2008: 141-146
87EEErich 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
86EEErich 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
85EEErich Kaltofen, Zhengfeng Yang: On exact and approximate interpolation of sparse rational functions. ISSAC 2007: 203-210
84EEErich Kaltofen, Zhengfeng Yang, Lihong Zhi: On probabilistic analysis of randomization in hybrid symbolic-numeric algorithms. SNC 2007: 11-17
83EEErich 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
81EEWolfram Decker, Mike Dewar, Erich Kaltofen, Stephen M. Watt: 06271 Abstracts Collection -- Challenges in Symbolic Computation Software. Challenges in Symbolic Computation Software 2006
80EEWolfram Decker, Mike Dewar, Erich Kaltofen, Stephen M. Watt: 06271 Executive Summary - Challenges in Symbolic Computation Software. Challenges in Symbolic Computation Software 2006
79EEErich Kaltofen, Pascal Koiran: Finding small degree factors of multivariate supersparse (lacunary) polynomials over algebraic number fields. ISSAC 2006: 162-168
78EEErich Kaltofen, Zhengfeng Yang, Lihong Zhi: Approximate greatest common divisors of several polynomials with linearly constrained coefficients and singular polynomials. ISSAC 2006: 169-176
77EEErich Kaltofen, Lihong Zhi: Hybrid symbolic-numeric computation. ISSAC 2006: 7
2005
76EEErich Kaltofen, Pascal Koiran: On the complexity of factoring bivariate supersparse (Lacunary) polynomials. ISSAC 2005: 208-215
75EEErich Kaltofen, Dmitriy Morozov, George Yuhasz: Generic matrix multiplication and memory management in linBox. ISSAC 2005: 216-223
74EEErich Kaltofen, Gilles Villard: On the complexity of computing determinants. Computational Complexity 13(3-4): 91-130 (2005)
2004
73EEShuhong Gao, Erich Kaltofen, John May, Zhengfeng Yang, Lihong Zhi: Approximate factorization of multivariate polynomials via differential equations. ISSAC 2004: 167-174
72EEShuhong 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
71EEErich Kaltofen, John May: On approximate irreducibility of polynomials in several variables. ISSAC 2003: 161-168
70EEErich Kaltofen: Polynomial factorization: a success story. ISSAC 2003: 3-4
69EEErich Kaltofen, Wen-shin Lee: Early termination in sparse interpolation algorithms. J. Symb. Comput. 36(3-4): 365-400 (2003)
68EEMark 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
67EEMark Giesbrecht, Erich Kaltofen, Wen-shin Lee: Algorithms for computing the sparsest shifts of polynomials via the Berlekamp/Massey algorithm. ISSAC 2002: 101-108
66EEErich Kaltofen: An output-sensitive variant of the baby steps/giant steps determinant algorithm. ISSAC 2002: 138-144
2000
65EEErich 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
63EEMarkus 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
62EELaurent Bernardin, Bruce W. Char, Erich Kaltofen: Symbolic Computation in Java: An Appraisement. ISSAC 1999: 237-244
61EEErich Kaltofen, Michael B. Monagan: On the Genericity of the Modular Polynomial GCD Algorithm. ISSAC 1999: 59-66
60EEErich Kaltofen, A. Lobo: Distributed Matrix-Free Solution of Large Sparse Linear Systems over Finite Fields. Algorithmica 24(3-4): 331-348 (1999)
1998
59EEMarkus A. Hitz, Erich Kaltofen: Efficient Algorithms for Computing the Nearest Polynomial with Constrained Roots. ISSAC 1998: 236-243
58EEAngel 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
52EEErich Kaltofen, A. Lobo: On Rank Properties of Toeplitz Matrices over Finite Fields. ISSAC 1996: 241-249
51EEÚlfar Erlingsson, Erich Kaltofen, David R. Musser: Generic Gram-Schmidt Orthogonalization by Exact Division. ISSAC 1996: 275-282
1995
50EEAngel 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
48EEErich 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
44EEErich Kaltofen: Asymptotically Fast Solution of Toeplitz-like Singular Linear Systems. ISSAC 1994: 297-304
43EEErich 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
39EEErich 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
36EEAngel Díaz, Erich Kaltofen, K. Schmitz, T. Valente: DSC: A System for Distributed Symbolic Computation. ISSAC 1991: 323-332
35EEErich 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
32EEErich 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
28EEJohn F. Canny, Erich Kaltofen, Yagati N. Lakshman: Solving Systems of Nonlinear Polynomial Equations Faster. ISSAC 1989: 121-128
27EEErich Kaltofen, T. Valente, Norika Yui: An Improved Las Vegas Primality Test. ISSAC 1989: 26-33
26EEErich 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
23EEErich 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

Coauthor Index

1Laurent Bernardin [62]
2Bruno Buchberger [30]
3John F. Canny (John Canny) [28]
4David G. Cantor [33]
5Bruce W. Char [62]
6Wolfram Decker [80] [81] [82]
7Mike Dewar [80] [81] [82]
8Angel Díaz [36] [41] [45] [50] [54] [58]
9Wayne Eberly [56]
10Úlfar Erlingsson [51]
11Shuhong Gao [72] [73]
12Joachim von zur Gathen [4] [11]
13Mark Giesbrecht [67] [68]
14Markus A. Hitz [41] [45] [47] [59] [63]
15Pascal Koiran [76] [79] [88]
16Mukkai S. Krishnamoorthy [21]
17Yagati N. Lakshman [24] [28] [32] [63]
18Alan G. B. Lauder [72]
19Wen-shin Lee [65] [67] [68] [69]
20Bin Li [83] [87]
21A. Lobo [41] [43] [45] [52] [60] [65]
22John May [71] [73]
23John P. May [86]
24Gary L. Miller [18] [22]
25Michael B. Monagan [61]
26Dmitriy Morozov [75]
27David R. Musser [3] [51]
28Victor Y. Pan [35] [40] [54]
29Vijaya Ramachandran [18] [22]
30Heinrich Rolletschek [16]
31Mehrdad Samadani [49]
32B. David Saunders [3] [21] [37]
33K. Schmitz [36]
34Victor Shoup [48] [55] [57]
35Kartik Sivaramakrishnan [83]
36Barry M. Trager [25] [29]
37T. Valente [27] [36] [41] [45]
38Gilles Villard [74]
39Stephen M. Watt [80] [81] [82]
40J.-M. Wiley [32]
41Zhengfeng Yang [73] [78] [83] [84] [85] [86] [87]
42George Yuhasz [75]
43Norika Yui [27]
44Noriko Yui [7]
45Lihong Zhi [73] [77] [78] [83] [84] [86] [87]

Colors in the list of coauthors

Copyright © Sun May 17 03:24:02 2009 by Michael Ley (ley@uni-trier.de)