Fakultät für Informatik
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Technische Universität München
Lehrstuhl für Effiziente Algorithmen
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Sparse polynomial powering using heaps
Michael Monagan
,
Roman Pearce
Lecture Notes in Computer Science
7442
, 2012, pp. 236-247
Sparse polynomial division using a heap
Michael Monagan
,
Roman Pearce
Journal Symbolic Computation
46
(7), 2011, pp. 807-822
Algorithms for solving linear systems over cyclotomic fields
Liang Chen
,
Michael Monagan
Journal Symbolic Computation
45
(9), 2010, pp. 902-917
On factorization of multivariate polynomials over algebraic number and function fields
Seyed Mohammad Mahdi Javadi
,
Michael B. Monagan
Proceedings of the 2009 International Symposium on Symbolic and Algebraic Computation, ISSAC'2009 (Seoul, Korea, July 28-31, 2009)
, 2009, pp. 199-206
Parallel sparse polynomial multiplication using heaps
Michael Monagan
,
Roman Pearce
Proceedings of the 2009 International Symposium on Symbolic and Algebraic Computation, ISSAC'2009 (Seoul, Korea, July 28-31, 2009)
, 2009, pp. 263-270
Lazy and forgetful polynomial arithmetic and applications
Michael Monagan
,
Paul Vrbik
Lecture Notes in Computer Science
5743
, 2009, pp. 226-239
A sparse modular GCD algorithm for polynomials over algebraic function fields
Seyed Mohammad Mahdi Javadi
,
Michael Monagan
Proceedings of the 2007 International Symposium on Symbolic and Algebraic Computation, ISSAC'2007 (Waterloo, Ontario, Canada, July 29 - August 01, 2007)
, 2007, pp. 187-194
Polynomial division using dynamic arrays, heaps, and packed exponent vectors
Michael Monagan
,
Roman Pearce
Lecture Notes in Computer Science
4770
, 2007, pp. 295-315
Fast rational function reconstruction
Sara Khodadad
,
Michael Monagan
Proceedings of the 2006 International Symposium on Symbolic and Algebraic Computation, ISSAC'2006 (Università degli Studi di Genova, Genova, Italy, July 9-12, 2006)
, 2006, pp. 184-190
Rational simplification modulo a polynomial ideal
Michael Monagan
,
Roman Pearce
Proceedings of the 2006 International Symposium on Symbolic and Algebraic Computation, ISSAC'2006 (Università degli Studi di Genova, Genova, Italy, July 9-12, 2006)
, 2006, pp. 239-245
Maximal quotient rational reconstruction: An almost optimal algorithm for rational reconstruction
Michael Monagan
Proceedings of the 2004 International Symposium on Symbolic and Algebraic Computation, ISSAC'2004 (University of Cantabria, Santander, Spain, July 04-07, 2004)
, 2004, pp. 243-249
Probabilistic algorithms for computing resultants
Michael Monagan
Proceedings of the 2005 International Symposium on Symbolic and Algebraic Computation, ISSAC'2005 (Beijing, China, July 24-27, 2005)
, 2004, pp. 245-252
Algorithms for the non-monic case of the sparse modular GCD algorithm
Jennifer de Kleine
,
Michael Monagan
,
Allan Wittkopf
Proceedings of the 2005 International Symposium on Symbolic and Algebraic Computation, ISSAC'2005 (Beijing, China, July 24-27, 2005)
, 2004, pp. 124-131
A modular GCD algorithm over number fields presented with multiple extensions
Mark van Hoeij
,
Michael Monagan
Proceedings of the 2002 International Symposium on Symbolic and Algebraic Computation, ISSAC'2002 (Université de Lille, Lille, France, July 07-10, 2002)
, 2002, pp. 109-116
Algorithms for trigonometric polynomials
Jamie Mulholland
,
Michael Monagan
Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation, ISSAC'2001 (University of Western Ontario, London, Ontario, Canada, July 22-25, 2001)
, 2001, pp. 245-252
On the design and implementation of Brown's algorithm over the integers and number fields
Michael B. Monagan
,
Allan D. Wittkopf
Proceedings of the 2000 International Symposium on Symbolic and Algebraic Computation, ISSAC'2000 (University of St. Andrews, Scotland, August 7-9, 2000)
, 2000, pp. 225-233
On the genericity of the modular polynomial GCD algorithm
Erich Kaltofen
,
Michael B. Monagan
Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation, ISSAC'99 (Simon Fraser University, Vancouver, Canada, July 29-31, 1999)
, 1999, pp. 59-66
ADrien: An implementation of automatic differentiation in Maple
Dominique Villard
,
Michael B. Monagan
Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation, ISSAC'99 (Simon Fraser University, Vancouver, Canada, July 29-31, 1999)
, 1999, pp. 221-228
Computing univariate GCDs over number fields
Michael Monagan
,
Roger Margot
Proceedings of the 9th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA'98 (San Francisco, California, January 25-27, 1998)
, 1998, pp. 42-49
Efficient multivariate factorization over finite fields
Laurent Bernardin
,
Michael B. Monagan
Lecture Notes in Computer Science
1255
, 1997, pp. 15-28
A toolbox for program manipulation and efficient code generation with an application to a problem in computer vision
Michael B. Monagan
,
Gladys Monagan
Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation, ISSAC'97 (Maui, Hawaii, July 21-23, 1997)
, 1997, pp. 257-264
Worksheets and notebooks: Can we teach mathematical algorithms with them?
Michael B. Monagan
Journal Symbolic Computation
23
(5-6), 1997, pp. 535-549
Polynomial factorization challenges
Paul Zimmermann
,
Laurent Bernardin
,
Michael Monagan
Abstracts of the 1996 International Symposium on Symbolic and Algebraic Computation Poster Session, ISSAC'96 (Zurich, Switzerland, July 24-26, 1996), 1996, pp. 105-108
Signature functions for algebraic numbers
Michael B. Monagan
,
Gaston H. Gonnet
Proceedings of the 1994 International Symposium on Symbolic and Algebraic Computation, ISSAC'94 (Oxford, England, United Kingdom, July 20-22, 1994)
, 1994, pp. 291-296
GRADIENT: Algorithmic differentiation in Maple
Michael B. Monagan
,
Walter M. Neuenschwander
Proceedings of the 1993 International Symposium on Symbolic and Algebraic Computation, ISSAC'93 (Kiev, Ukraine, July 6-8, 1993)
, 1993, pp. 68-76
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