Publications by Venue
Books
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K.O. Geddes, S.R. Czapor and G. Labahn, ''Algorithms for Computer
Algebra'', Kluwer Academic Publishers, (1992), 585 pages.
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M.B. Monagan, K.O. Geddes, K.M. Heal, G. Labahn, S. Vorketter, J. McCarron,
P DeMarco, ''The Maple Introductory Programming Guide'', Springer-Verlag,
(2003), 370 pages.
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M.B. Monagan, K.O. Geddes, K.M. Heal, G. Labahn, S. Vorketter, J. McCarron,
P DeMarco, ''The Maple Advanced Programming Guide'', Springer-Verlag,
(2003), 430 pages.
Special Issues
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Special Issue on Symbolic and Algebraic Computation: ISSAC 2021,
Editors. F. Chyzak and G. Labahn,
Journal of Symbolic Computation, (2023),
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Special Issue: Selected Extended Papers of ICMS 2018,
Editors: J. H. Davenport, G. Labahn and J. Urban,
Mathematics in Computer Science, Birkauser, (2018)
Journals
Papers in SIAM Journals
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P. Azimzadeh, E. Bayraktar, G. Labahn,
Convergence of implicit schemes for Hamilton-Jacobi-Bellman quasi-variational Inequalities,
SIAM Journal on Control and Optimization. 56(6) (2018) 3994-4016
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W. Ng, D.E. Chang and G. Labahn,
Energy Shaping for Systems with Two Degrees of Underactuation and More
than Three Degrees of Freedom,
SIAM Journal on Control and Optimization, 51(2) (2013) 881-905
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Y. Huang, P. Forsyth and G. Labahn,
Combined Fixed Point and Policy Iteration for
Hamilton-Jacobi-Bellman Equations in Finance,
SIAM Journal of Numerical Analysis 50(4) (2012) 1861-1882
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Y. Huang, P.A. Forsyth and G. Labahn,
Methods for pricing American options under regime switching,
SIAM Journal on Scientific Computing 33(5) (2011) 2144-2168.
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Y. d'Halluin, P.A. Forsyth and G. Labahn,
A Semi-Lagrangian approach for
American Asian Options under Jump Diffusion,
SIAM Journal of Scientific Computing, 27 (2005) 315-345.
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B. Beckermann and G. Labahn,
Fraction-free Computation of Matrix Rational Interpolants and Matrix GCD's,
SIAM J. Matrix Analysis and Applications,
22(1) (2000) 114-144.
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S. Cabay, A.R. Jones and G. Labahn,
Computation of Numerical
Pade-Hermite and Simultaneous Pade Systems I: Near Inversion of
Generalized Sylvester Matrices ,
SIAM J. Matrix Analysis and Applications 17 (1996) 247-267.
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S. Cabay, A.R. Jones and G. Labahn,
Computation of Numerical
Pade-Hermite and Simultaneous Pade Systems II: A Weakly-Stable
Algorithm ,
SIAM J. Matrix Analysis and Applications, 17, (1996), 268-297.
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B. Beckermann and G. Labahn,
A uniform approach for the fast computation of Matrix-type Pade approximants,
SIAM J. Matrix Analysis and Applications (1994), 804-823.
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G. Labahn, D.K. Choi and S. Cabay,
Inverses of Block Hankel and
Block Toeplitz Matrices ,
SIAM J. of Computing, 19 (1990), pp. 98-123.
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G. Labahn and S. Cabay,
Matrix Pade Fractions and their Computation ,
SIAM J. of Computing, 18 (1989), pp. 639-657.
Papers in Journal of Symbolic Computation
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J-C. Faugère, G. Labahn, M. Safey El Din, É. Schost and T. X. Vu,
Computing critical points for invariant algebraic systems,
Journal of Symbolic Computation. 116 (2023) 365-399
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S. Birmpilis, G. Labahn and A. Storjohann,
A fast algorithm for computing the Smith normal form with multipliers
for a nonsingular integer matrix,
Journal of Symbolic Computation. 116 (2023) 146-182
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M. Giesbrecht, H. Huang, G. Labahn and E. Zima,
Efficient Rational Creative Telescoping,
Journal of Symbolic Computation. 109 (2022) 57-87
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M. Giesbrecht, H. Huang, G. Labahn and E. Zima,
Efficient q-Integer Linear Decomposition of Multivariate Polynomials,
Journal of Symbolic Computation. 107 (2021) 122-144.
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M. Giesbrecht, J. Haraldson, G. Labahn,
Computing Nearby Non-trivial Smith Forms,
Journal of Symbolic Computation. 102 (2021) 304-327.
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M. Giesbrecht, J. Haraldson, G. Labahn,
Computing Lower Rank Approximations of Matrix Polynomials,
Journal of Symbolic Computation. 98 (2020) 225-245.
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M. Barkatou, C. El Bacha, G. Labahn and E. Pfluegel,
On Simultaneous Row and Column Reduction of Higher-Order Linear Differential Systems,
Journal of Symbolic Computation 49(1) (2013) 45-64
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W. Zhou and G. Labahn,
Algorithms for Efficient Order Basis Computation,
Journal of Symbolic Computation, 47(7) (2012) 793-819
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M. Giesbrecht, G. Labahn and W-s Lee,
Symbolic-numeric Sparse Interpolation of Multivariate Polynomials,
Journal of Symbolic Computation, 44(8) (2009) 943-959
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H. Cheng and G. Labahn,
Output-sensitive Modular Algorithms for Polynomial Matrix Normal Forms,
Journal of Symbolic Computation, 42(7) (2007) 733-750.
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B. Beckermann, G. Labahn and G. Villard,
Normal Forms for General Polynomial Matrices,
Journal of Symbolic Computation, 41(6) (2006) 708-737.
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B. Beckermann, H. Cheng and G. Labahn,
Fraction-free Row Reduction of Matrices of Ore Polynomials,
Journal of Symbolic Computation, 41(5) (2006) 513-543.
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B. Beckermann and G. Labahn,
When are two numerical polynomials relatively prime?,
Journal of Symbolic Computation 26 (1998) 677-689.
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B. Beckermann and G. Labahn,
A fast and numerically stable Euclidean-like
algorithm for detecting relatively prime numerical polynomials,
Journal of Symbolic Computation 26 (1998) 691-714.
Papers in Numerische Mathematik
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B. Beckermann, G. Labahn, A. C. Matos,
On rational functions without Froissart doublets.
Numerische Mathematik. 138 (2018) 615-633
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Y. Huang, P. Forsyth and G. Labahn,
Iterative methods for the solution of a singular control formulation of a GMWB pricing problem,
Numerische Mathematik 122(1) (2012) 133-167
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B. Beckermann, G. Golub and G. Labahn,
On the Numerical Condition of a Generalized Hankel Eigenvalue Problem,
Numerische Mathematik, 106(1) (2007) 41-68.
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Y. d'Halluin, P.A. Forsyth, G. Labahn,
A Penalty Method for American Options with Jump Diffusion Processes,
Numerische Mathematik, 97:2 (2004) 321-352.
Papers in Foundations of Computational Mathematics
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E. Hubert and G. Labahn,
Scaling Invariants and Symmetry Reduction of Dynamical Systems,
Foundations of Computational Mathematics, 13(4) (2013) 479-516
Papers in Mathematics of Computation
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E. Hubert and G. Labahn,
Computation of Invariants of Finite Abelian Groups,
Mathematics of Computation, 85 (2016), 3029-3050.
Papers in ACM Transactions of Algorithms
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S. Birmpilis, G. Labahn and A. Storjohann,
A cubic algorithm for computing the Hermite normal form of a nonsingular integer matrix,
ACM Tranactions of Algorithms. 19(4) (2023) 1-36.
Papers in Linear Algebra and its Applications
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A. Storjohann and G. Labahn,
A Fast Las Vegas Algorithm for
Computing the Smith Normal Form of a Polynomial Matrix,
Linear Algebra and its Applications. 253 (1997) 155-173.
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G. Labahn, B. Beckermann and S. Cabay,
Inversion of Mosaic Hankel Matrices via Matrix Polynomial Systems ,
Linear Algebra and its
Applications 221 (1995), 253-280.
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G. Labahn and T. Shalom,
Inversion of Toeplitz Structured Matrices using only Standard Equations ,
Linear Algebra and its Applications
207 (1994), 49-70.
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G. Labahn,
Inversion Components for Block Hankel-like Matrices ,
Linear Algebra and its Applications, 177 (1992), pp. 7-48.
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G. Labahn and T. Shalom,
Inversion of Toeplitz Matrices with only Two Standard Equations ,
Linear Algebra and its Applications, 175 (1992), pp. 143-158.
Papers in Journal of Complexity
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G. Labahn, M. Safey El Din, É. Schost and T. X. Vu,
Homotopy techniques for solving sparse column support determinantal polynomial systems,
Journal of Complexity. 86 (2021) 101557.
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G. Labahn, V. Neiger and W. Zhou,
Fast, deterministic computation of the Hermite normal form and determinant of a polynomial matrix,
Journal of Complexity. 42C (2017) pp. 44-71
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W. Zhou, G. Labahn and A. Storjohann,
A deterministic algorithm for inverting a polynomial matrix ,
Journal of Complexity, 31(2) (2015) 162-173
Papers in Journal of Computational and Applied Mathematics
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B. Beckermann and G. Labahn,
Recursiveness in Matrix Rational Interpolation Problems,
Journal of Computational and Applied Mathematics 77 (1997) 5-34.
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S. Cabay, G. Labahn and B. Beckermann,
On the Theory and Computation of Non-perfect Pade-Hermite
Approximants ,
Journal of Computational and Applied Mathematics, 39 (1992), pp. 295-313.
Papers in Numerical Algorithms
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B. Beckermann and G. Labahn,
A uniform approach for Hermite Pade
and simultaneous Pade Approximants and their Matrix-type
generalizations ,
Numerical Algorithms, 3 (1992), pp. 45-54.
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S. Cabay and G. Labahn,
A Superfast Algorithm for Multi-dimensional Pade Approximation ,
Numerical Algorithms, 2 (1992), pp. 201-224.
Papers in International Journal of Document Analysis and Recognition
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S. MacLean and G. Labahn,
A new approach for recognizing handwritten mathematics
using relational grammars and fuzzy sets,
International Journal of Document Analysis and Recognition 16(2) (2013) 139-163
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S. MacLean, G. Labahn, E. Lank, M. Marzouk and D. Tausky,
Grammar-based techniques for creating ground-truthed sketch corpora,
International Journal of Document Analysis and Recognition, 14(1) (2011) 65-74.
Papers in Journal of Computational Finance
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P. Forsyth and G. Labahn,
ε-Monotone Fourier Methods for Optimal Stochastic Control in Finance.
Journal of Computational Finance. 22(4) (2019) 25-71
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P.A. Forsyth and G. Labahn,
Numerical Methods for Controlled Hamilton-Jacobi-Bellman PDEs in Finance,
Journal of Computational Finance, 11(2) (2008) 1-44.
Papers in Applied Mathematical Finance
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A.C. Belanger, P.A. Forsyth and G. Labahn,
Valuing the Guaranteed Minimum Death Benefit Clause with Partial Withdrawals,
Applied Mathematical Finance, 16(6) (2009) 451-496
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Y. d'Halluin, P.A. Forsyth, K.R. Vetzal, G. Labahn,
A Numerical PDE Approach for Pricing Callable Bonds,
Applied Mathematical Finance, 8 (2001) 49-77.
Papers in Reliable Computing
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B. Beckermann and G. Labahn,
Effective Computation of Rational
Approximants and Interpolants,
Reliable Computing 6 (2000) 365-390.
Papers in ACM Transactions of Mathematical Software (TOMS)
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S. Cabay, A.R. Jones and G. Labahn,
Experiments with a Weakly Stable Algorithm
for Computing Pade-Hermite and Simultaneous Pade Approximants,
ACM Transactions of Mathematical Software (TOMS) 23(1) (1997) 91-110.
Papers in Applied Numerical Mathematics
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Y. Huang, P. Forsyth and G. Labahn,
Inexact Arithmetic Considerations for Direct Control and Penalty
Methods: American Options under Jump Diffusion,
Applied Numerical Mathematics 72 (2013) 33-51.
Papers in Journal of Scientific Computing
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J. Babbin, P. Forsyth and G. Labahn,
A Comparison of Iterated Optimal Stopping and Local Policy Iteration for
American Options Under Regime Switching,
Journal of Scientific Computing 58 (2014) 409-430.
Papers in Pattern Recognition
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S. MacLean and G. Labahn,
A Bayesian model for recognizing handwritten
mathematical expressions.
Pattern Recognition, 48 (2015) 2433-2445
Papers in Advances in Applied Mathematics
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S. Chen, Q-H Hou, H. Huang, G. Labahn and R-H Wang,
Constructing minimal telescopers for rational functions in three discrete variables,
Advances in Applied Mathematics. 141 (2022) 102389
Papers in Refereed Conferences
Papers in ISSAC Conferences
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G. Labahn, C. Riener, M. Safey El Din, É. Schost and T. X. Vu,
Faster real root decision algorithm for symmetric polynomials,
Proceedings of ISSAC'23, July 24-27, Tromso. Norway, (2023) 452-460.
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G. Labahn, V. Neiger, T. X. Vu, W. Zhou,
Rank-Sensitive Computation of the Rank Profile of a Polynomial Matrix,
Proceedings of ISSAC'22, July 4-7, Lille, France, (2022) 351-360.
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R. Corless, G. Labahn, D. Piponi, L. R. Sevyeri,
Bohemian Matrix Geometry,
Proceedings of ISSAC'22, July 4-7, Lille, France, (2022)361-370.
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S. Birmpilis, G. Labahn, A. Storjohann,
A Las Vegas Algorithm for Computing the Smith Form of a Nonsingular Integer Matrix,
Proceedings of ISSAC'20, July 21-23, Kalamata, Greece, (2020) 38-45.
(Winner of the
ACM SIGSAM Distinguished Student Author Award)
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M. Giesbrecht, H. Huang, G. Labahn, E. Zima,
Efficient Integer-Linear Decomposition of Multivariate Polynomials,
Proceedings of ISSAC'19, July 15-18, Beijing, China, (2019), 171-178.
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S. Birmpilis, G. Labahn, A. Storjohann,
Deterministic reduction of integer nonsingular linear system solving to matrix multiplication,
Proceedings of ISSAC'19, July 15-18, Beijing, China, (2019), 58-65.
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M. Giesbrecht, J. Haraldson and G. Labahn,
Computing nearby non-trivial Smith Forms,
Proceedings of ISSAC'18, July 16-19, New York, (2018), 159-166.
(Winner of the
ACM SIGSAM Distinguished Student Author Award)
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M. Giesbrecht, J. Haraldson and G. Labahn,
Computing the Nearest Rank-Deficient Matrix Polynomial,
Proceedings of ISSAC'17, July 25-28, Kaiserslautern, Germany, (2017), 181-188.
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S. Chen, Q-H Hou, G. Labahn and R-H Wang,
Existence Problem of Telescopers: Beyond the Bivariate Case,
Proceedings of ISSAC'16, Waterloo, Canada, July 19-22, (2016) 167-174.
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W. Zhou and G. Labahn,
Unimodular Completion of Polynomial Matrices,
Proceedings of ISSAC'14, Kobe, Japan, July 23-25, (2014) 413-420.
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W. Zhou and G. Labahn,
Computing Column Bases of Polynomial Matrices,
Proceedings of ISSAC'13, Boston, USA, June 26-29, (2013) 379-386.
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E. Hubert and G. Labahn,
Rational invariants of scalings from Hermite normal forms,
Proceedings of ISSAC'12, Grenoble, France, July 22-25, (2012) 219-226
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W. Zhou, G. Labahn and A. Storjohann,
Computing Minimal Nullspace Bases,
Proceedings of ISSAC'12, Grenoble, France, July 22-25, (2012) 366-373
(Winner of the
ACM SIGSAM Distinguished Student Author Award)
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B. Beckermann and G. Labahn,
Fraction-Free Computation of Simultaneous Pade Approximants,
Proceedings of ISSAC'09, Seoul, Korea, ACM Press, (2009) 15-22
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W. Zhou and G. Labahn,
Efficient Computation of Order Bases,
Proceedings of ISSAC'09, Seoul, Korea, ACM Press, (2009) 375-382
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H. Cheng and G. Labahn,
On Computing Polynomial GCD in Alternate Bases,
Proceedings of ISSAC'06, Genoa, Italy, ACM Press, (2006) 47-54.
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M. Giesbrecht, G. Labahn and W-s Lee,
Symbolic-numeric Sparse Interpolation of Multivariate Polynomials,
Proceedings of ISSAC'06, Genoa, Italy, ACM Press, (2006) 116-123.
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G. Labahn and Ziming Li,
Hyperexponential Solutions of Finite-rank
Ideals in Orthogonal Ore Algebras,
Proceedings of ISSAC'04, Santander,
Spain, ACM Press, (2004) 213-220.
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R. Burger, G. Labahn and M. van Hoeij,
Closed Form Solutions of Linear Odes
having Elliptic Functions as Coefficients,
Proceedings of ISSAC'04,
Santander, Spain, ACM Press, (2004) 58-64.
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B. Beckermann, H. Cheng and G. Labahn,
Fraction-free Row Reduction of Matrices of Skew Polynomials,
Proceedings of ISSAC'02, Lille, France, ACM Press, (2002) 8-15.
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H. Cheng and G. Labahn,
Computing all Factorizations in Zn[x],
Proceedings of ISSAC'01, London, Canada, ACM Press, (2001) 64-71.
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B. Beckermann, G. Labahn and G. Villard,
Shifted Normal Forms of Polynomial Matrices,
Proceedings of ISSAC'99, Vancouver, ACM Press, (1999) 189-196.
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B. Beckermann, S. Cabay and G. Labahn,
Fraction-free Computation of Matrix Pade Systems,
Proceedings of ISSAC'97, Maui, ACM Press, (1997) 125-132.
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D.J. Jeffrey, G. Labahn, M. von Mohrenschildt and A.D. Rich,
Integration of the signum, piecewise and related functions,
Proceedings of ISSAC'97, Maui, ACM Press, (1997) 324-330.
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A. Storjohann and G. Labahn,
Asymptotically Fast Computation of
Hermite Normal Forms of Integer Matrices ,
Proceedings of ISSAC 96, ACM Press, (1996), pp. 259-266.
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A. Storjohann and G. Labahn,
Preconditioning of Rectangular
Polynomial Matrices for Efficient Hermite Normal Form computation ,
Proceedings of ISSAC 95, ACM Press, (1995), pp. 119-125.
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S. Cabay and G. Labahn,
A Fast, Reliable Algorithm for Calculating Pade-Hermite Forms ,
Proceedings of ISSAC 89, (G.H. Gonnet ed.), ACM
Press, (1989), pp. 95-100.
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G. Labahn and S. Cabay,
Matrix Pade Fractions ,
Proceedings of EUROCAL 87, (J. Davenport ed.),
Lecture Notes in Computer Science,
Springer-Verlag, (1989), pp. 438-449.
(EUROCAL was a predecessor of ISSAC)
Papers in SBIM Conferences
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S. MacLean, D. Tausky, G. Labahn, E. Lank and M. Marzouk,
Is the iPad useful for sketch input? A comparison with the Tablet PC,
Proceedings of the 8th Eurographics Symposium on Sketch-Based
Interfaces and Modeling (SBIM 2011), ACM, (2011) 7-14
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S. MacLean, D. Tausky, G. Labahn, E. Lank and M. Marzouk,
Tools for the efficient generation of hand-drawn corpora based on context-free
grammars,
Proceedings of the 6th Eurographics Symposium on Sketch-Based
Interfaces and Modeling (SBIM 2009). (2009) 125-132
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G. Labahn, E. Lank, M. Marzouk, A. Bunt, S. MacLean and D. Tausky,
MathBrush: A Case Study for Pen-based Interactive Mathematics,
Proceedings of the 5th Eurographics Symposium on Sketch-Based Interfaces and
Modelling (SBIM 2008). (2008)
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D. Tausky, G. Labahn, E. Lank and M. Marzouk,
Managing Ambiguity in Mathematical Matrices ,
Proceedings of the 4th Eurographics Symposium on Sketch-Based Interfaces and Modelling
(SBIM 2007). (2007) 115-122.
Papers in Asian Technology Conference in Mathematics
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K.O. Geddes and G. Labahn,
Symbolic and Numeric Integration in Maple,
Proceedings of the First Asian Technology Conference in Mathematics,
(1995), pp. 377-386.
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K.O. Geddes and G. Labahn,
The Maple Computer Algebra System,
Proceedings of the First Asian Technology Conference in Mathematics,
(1995), pp. 367-376.
Papers in other Refereed Conferences
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S. MacLean and G. Labahn,
Elastic matching in linear time and constant space,
Proceedings of Ninth IAPR International Workshop on Document
Analysis Systems, (Short paper), (2010) 551-554
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P. Davies, H. Cheng and G. Labahn,
Computing Popov Form of General Ore Polynomial Matrices.
Proceedings of Milestones in Computer Algebra (MICA) (2008) 149-156.
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G. Labahn, E. Lank, S. MacLean, M. Marzouk and D. Tausky,
MathBrush: A System for Doing Math on Pen-Based Devices,
Proceedings of The Eighth IAPR Workshop on Document Analysis Systems DAS 2008,
September 16-19, Nara, Japan (2008) 599-606.
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H. Cheng and G. Labahn,
Modular Computation for Matrices of Ore Polynomials,
Proceedings of WSPC (In Honor of the 60-th birthday of Sergei Abramov),
(2007) 43-66
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M. Giesbrecht, G. Labahn and Y. Zhang,
Computing Valuation Popov Forms,
Proceedings of CASC'2005,
Lecture Notes on Computer Science 3516, Springer-Verlag, (2005) 619-626.
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M. Giesbrecht, G. Labahn and W-s Lee,
Symbolic-Numeric Sparse Polynomial
Interpolation in Chebyshev Basis and Trigonometric Interpolation,
Proceedings
of Computer Algebra in Scientific Computing (CASC 2004), St. Petersburg,
Russia, (2004)
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C.-P. Jeannerod and G. Labahn,
The SNAP Package for Arithmetic with Numeric Polynomials,
Proceedings of International Congress of Mathematical Software 2002,
Beijing, China, (2002) 61-71.
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W. Heidrich, R. Bartels and G. Labahn,
Fitting Uncertain Data with NURBS,
Proceedings of Curves and Surfaces, Chamonix, France, (1997)
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M. Van Barel, B. Beckermann, A. Bultheel and G. Labahn,
Matrix Rational Interpolation with Pole Information ,
Nonlinear Numerical Methods and Rational Approximation,
(A. Cuyts ed.), Kluwer Academic
Publishers, (1994), pp 137-148.
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S. Cabay and G. Labahn,
Fast, Numerically Stable Inversion of Mosaic Hankel Matrices ,
Systems and Networks: Mathematical Theory
and Applications, Volume II: Invited and Contributed Papers, (U.
Helmke, R. Mennicken and J. Saurer, ed.) Akademie Verlag (1994), 625-630.
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T.C. Scott, R.A. Moore, G.J. Fee, M.B. Monagan, G. Labahn and
K.O. Geddes, Perturbative Solutions of Quantum Mechanical Problems
by Symbolic Computation: A Review, International J. of Modern Phys.
C, 1 (1990), pp. 53-76.
Refereed Workshops
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G. Labahn, S. MacLean, M. Marzouk, I. Rutherford and D. Tausky,
A preliminary report on the MathBrush pen-math system ,
Proceedings of Maple Conference 2006, (2006) 162-178.
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G. Labahn and T. Humphries,
Symbolic Integration of Jacobian Elliptic Functions in Maple ,
Proceedings of Maple Conference 2005, (2005) 331-339.
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M. Giesbrecht, G. Labahn and Y. Zhang,
Computing Valuation Popov Forms,
Proceedings of the Workshop on Computer Algebra Systems and
their Applications (CASC'05) (2005).
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M. Giesbrecht, G. Labahn and W-s Lee,
Symbolic-Numeric Sparse Polynomial Interpolation of Multivariate Polynomials,
Proceedings 9th Rhine Workshop on Computer Algebra (2004).
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M. Giesbrecht, G. Labahn and W.-s. Lee,
Symbolic-Numeric Sparse Polynomial Interpolation in Chebyshev Basis and
Trigonometric Interpolation. Proceedings of the Workshop on Computer Algebra in Scientific
Computation (CASC'04) (2004) 195-206.
Others
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G. Labahn,
Closed Form PDF for Merton's Jump Diffusion Model ,
Working paper (2003)
-
G. Labahn and M. Mutrie,
Reduction of elliptic integrals to Legendre normal form,
Department of Computer Science, University of Waterloo (1997) Preprint 97-21. 19 pages.
-
G. Labahn,
Solving Linear Differential Equations in Maple,
MapleTech, 2 (1995), 20-28.
Theses
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Pade Forms and Inverses of Block Hankel Matrices,
PhD Thesis, Department of Computer Science, University of Alberta (1988)
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Matrix Pade Approximants
M.Sc Thesis, Department of Computer Science, University of Alberta (1986)