Mark Giesbrecht

According to our database1, Mark Giesbrecht authored at least 88 papers between 1990 and 2023.

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Bibliography

2023
Bit complexity for computing one point in each connected component of a smooth real algebraic set.
J. Symb. Comput., 2023

2022
Efficient rational creative telescoping.
J. Symb. Comput., 2022

2021
Efficient <i>q</i>-integer linear decomposition of multivariate polynomials.
J. Symb. Comput., 2021

Computing nearby non-trivial Smith forms.
J. Symb. Comput., 2021

Counting invariant subspaces and decompositions of additive polynomials.
J. Symb. Comput., 2021

Subquadratic-Time Algorithms for Normal Bases.
Comput. Complex., 2021

Sparse Multiplication of Multivariate Linear Differential Operators.
Proceedings of the ISSAC '21: International Symposium on Symbolic and Algebraic Computation, 2021

2020
Computing lower rank approximations of matrix polynomials.
J. Symb. Comput., 2020

Computing Approximate Greatest Common Right Divisors of Differential Polynomials.
Found. Comput. Math., 2020

Efficient q-Integer Linear Decomposition of Multivariate Polynomials.
CoRR, 2020

Sparse multiplication for skew polynomials.
Proceedings of the ISSAC '20: International Symposium on Symbolic and Algebraic Computation, 2020

On the bit complexity of finding points in connected components of a smooth real hypersurface.
Proceedings of the ISSAC '20: International Symposium on Symbolic and Algebraic Computation, 2020

On Parametric Linear System Solving.
Proceedings of the Computer Algebra in Scientific Computing - 22nd International Workshop, 2020

2019
Quadratic Probabilistic Algorithms for Normal Bases.
CoRR, 2019

Quadratic-Time Algorithms for Normal Elements.
Proceedings of the 2019 on International Symposium on Symbolic and Algebraic Computation, 2019

Efficient Integer-Linear Decomposition of Multivariate Polynomials.
Proceedings of the 2019 on International Symposium on Symbolic and Algebraic Computation, 2019

2017
Computing the Nearest Rank-Deficient Matrix Polynomial.
Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation, 2017

2016
Factoring linear partial differential operators in n variables.
J. Symb. Comput., 2016

Faster sparse multivariate polynomial interpolation of straight-line programs.
J. Symb. Comput., 2016

2015
On factoring differential and difference operators in <i>n</i> variables.
ACM Commun. Comput. Algebra, 2015

2014
Factoring Differential Operators in n Variables.
CoRR, 2014

Ranks of Quotients, Remainders and $p$-Adic Digits of Matrices.
CoRR, 2014

Relating $p$-Adic eigenvalues and the local Smith normal form.
CoRR, 2014

Faster sparse polynomial interpolation of straight-line programs over finite fields.
CoRR, 2014

Computing GCRDs of approximate differential polynomials.
Proceedings of the Symbolic-Numeric Computation 2014, 2014

Factoring linear differential operators in <i>n</i> variables.
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2014

Sparse interpolation over finite fields via low-order roots of unity.
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2014

2013
Faster sparse interpolation of straight-line program
CoRR, 2013

Recursive sparse interpolation.
ACM Commun. Comput. Algebra, 2013

Faster Sparse Interpolation of Straight-Line Programs.
Proceedings of the Computer Algebra in Scientific Computing - 15th International Workshop, 2013

Algorithms for irreducibility testing and for constructing irreducible polynomials.
Proceedings of the Handbook of Finite Fields., 2013

2012
In honour of the research and influence of Joachim von zur Gathen at 60.
J. Symb. Comput., 2012

Computing Sparse Multiples of Polynomials.
Algorithmica, 2012

Fast computation of Smith forms of sparse matrices over local rings.
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2012

A Polynomial-Time Algorithm for the Jacobson Form of a Matrix of Ore Polynomials.
Proceedings of the Computer Algebra in Scientific Computing - 14th International Workshop, 2012

A Symbolic Approach to Compute a Null-Space Basis in the Projection Method.
Proceedings of the Computer Mathematics, 2012

2011
In honour of Keith Geddes on his 60th birthday.
J. Symb. Comput., 2011

Detecting lacunary perfect powers and computing their roots.
J. Symb. Comput., 2011

Computing the Hermite Form of a Matrix of Ore Polynomials
CoRR, 2011

Diversification improves interpolation.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2011

2010
Composition collisions and projective polynomials
CoRR, 2010

Some Results on the Functional Decomposition of Polynomials.
CoRR, 2010

Abstract only: Complexity of sparsest multiple computation.
ACM Commun. Comput. Algebra, 2010

Interpolation of Shifted-Lacunary Polynomials.
Comput. Complex., 2010

Composition collisions and projective polynomials: statement of results.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2010

2009
Symbolic-numeric sparse interpolation of multivariate polynomials.
J. Symb. Comput., 2009

On Computing the Hermite Form of a Matrix of Differential Polynomials.
Proceedings of the Computer Algebra in Scientific Computing, 11th International Workshop, 2009

Computing Popov Forms of Matrices Over PBW Extensions.
Proceedings of the Computer Mathematics, 2009

2008
Detecting polynomial perfect powers (abstract only).
ACM Commun. Comput. Algebra, 2008

Automatic variable order selection for polynomial system solving (abstract only).
ACM Commun. Comput. Algebra, 2008

ACM 2007 Kanellakis Award Honours Bruno Buchberger Innovator of Automated Tools for Mathematics.
ACM Commun. Comput. Algebra, 2008

On lacunary polynomial perfect powers.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2008

2007
ISSAC 2007 poster abstracts.
ACM Commun. Comput. Algebra, 2007

Examining the Effects of Global Data Usage on Software Maintainability.
Proceedings of the 14th Working Conference on Reverse Engineering (WCRE 2007), 2007

Faster inversion and other black box matrix computations using efficient block projections.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2007

2006
Solving Sparse Integer Linear Systems
CoRR, 2006

A Fine-Grained Analysis of the Performance and Power Benefits of Compiler Optimizations for Embedded Devices.
Proceedings of the International Conference on Software Engineering Research and Practice & Conference on Programming Languages and Compilers, 2006

Solving sparse rational linear systems.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2006

Probabilistically Stable Numerical Sparse Polynomial Interpolation.
Proceedings of the Challenges in Symbolic Computation Software, 02.07. - 07.07.2006, 2006

2005
Distributed Models of Thread Level Speculation.
Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications, 2005

Computing Valuation Popov Forms.
Proceedings of the Computational Science, 2005

2004
Efficient decomposition of separable algebras.
J. Symb. Comput., 2004

2003
Algorithms for computing sparsest shifts of polynomials in power, Chebyshev, and Pochhammer bases.
J. Symb. Comput., 2003

Shiftless decomposition and polynomial-time rational summation.
Proceedings of the Symbolic and Algebraic Computation, 2003

2002
Computing Rational Forms of Integer Matrices.
J. Symb. Comput., 2002

Algorithms for computing the sparsest shifts of polynomials via the Berlekamp/Massey algorithm.
Proceedings of the Symbolic and Algebraic Computation, 2002

2001
Fast computation of the Smith form of a sparse integer matrix.
Comput. Complex., 2001

Towards factoring bivariate approximate polynomials.
Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation, 2001

Algorithms for Large Integer Matrix Problems.
Proceedings of the Applied Algebra, 2001

2000
Efficient Decomposition of Associative Algebras over Finite Fields.
J. Symb. Comput., 2000

East Coast Computer Algebra Day.
SIGSAM Bull., 2000

Computing the Determinant and Smith Form of an Integer Matrix.
Proceedings of the 41st Annual Symposium on Foundations of Computer Science, 2000

Numerical Implicitization of Parametric Hypersurfaces with Linear Algebra.
Proceedings of the Artificial Intelligence and Symbolic Computation, 2000

1999
Approximate polynomial decomposition.
Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation, 1999

1998
Factoring in Skew-Polynomial Rings over Finite Fields.
J. Symb. Comput., 1998

1997
Parametric linear systems: the two parameter case.
SIGSAM Bull., 1997

Certifying inconsistency of sparse linear systems.
SIGSAM Bull., 1997

Efficient parallel solution of sparse systems of linear diophantine equations.
Proceedings of the 2nd International Workshop on Parallel Symbolic Computation, 1997

1996
Efficient Decomposition of Associative Algebras.
Proceedings of the 1996 International Symposium on Symbolic and Algebraic Computation, 1996

Probabilistic Computation of the Smith Normal Form of a Sparse Integer Matrix.
Proceedings of the Algorithmic Number Theory, Second International Symposium, 1996

1995
Nearly Optimal Algorithms for Canonical Matrix Forms.
SIAM J. Comput., 1995

Fast Computation of the Smith Normal Form of an Integer Matrix.
Proceedings of the 1995 International Symposium on Symbolic and Algebraic Computation, 1995

Run-Time Parallelization of Irregular DOACROSS Loops.
Proceedings of the Parallel Algorithms for Irregularly Structured Problems, 1995

1994
Fast Algorithms for Rational Forms of Integer Matrices.
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 1994

1993
Nearly optimal algorithms for canonical matrix forms.
PhD thesis, 1993

1992
Factoring in Skew-Polynomial Rings.
Proceedings of the LATIN '92, 1992

Fast Algorithms for Matrix Normal Forms
Proceedings of the 33rd Annual Symposium on Foundations of Computer Science, 1992

1990
Constructing Normal Bases in Finite Fields.
J. Symb. Comput., 1990


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