Robert M. Corless

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Creator: Schloss Dagstuhl - Leibniz Center for Informatics
Published: 1993
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Publications

2025
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Robert M. Corless, Michelle Hatzel:
Poincaré Sections by Inverse Cubic Hermite Interpolation. Maple Trans. 5(2) (2025)
[j91]
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Robert M. Corless, David J. Jeffrey, Qingze Li:
Bidiagonal factoring of Stirling matrices. Maple Trans. 5(3) (2025)
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John C. Butcher, Robert M. Corless:
Featured Review: Numerical Integration of Differential Equations. SIAM Rev. 67(1): 197-204 (2025)
[i16]
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  - journals/corr/abs-2501-16457
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Robert M. Corless, Arthur C. Norman, Tomás Recio, William J. Turkel, Stephen M. Watt:
Symbolic Mathematical Computation 1965-1975: The View from a Half-Century Perspective. CoRR abs/2501.16457 (2025)
[i15]
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  - journals/corr/abs-2508-21629
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Robert M. Corless, Mark Giesbrecht, Leili Rafiee Sevyeri, B. David Saunders:
On Parametric Linear System Solving. CoRR abs/2508.21629 (2025)
2024
[j88]
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Robert M. Corless, Michelle Hatzel, Erik Postma:
The Extended Watson - Wong - Wyman Lemma in Maple. Maple Trans. 4(3) (2024)
[j87]
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Robert M. Corless, Michelle Hatzel:
Exploring Cover Designs for an Upcoming Book. Maple Trans. 4(4) (2024)
2023
[j81]
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Robert M. Corless, Ilias S. Kotsireas:
Remembering Eugenio Roanes-Lozano. Maple Trans. 3(2) (2023)
[j79]
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Johan Joby, David J. Jeffrey, Robert M. Corless:
Towering Fractals. Maple Trans. 3(3) (2023)
[j77]
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Robert M. Corless, David J. Jeffrey, Johan Joby:
Two-cycles in the Infinite Exponential Tower. Maple Trans. 3(4) (2023)
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Eunice Y. S. Chan, Robert M. Corless:
Chaos Game Representation. SIAM Rev. 65(1): 261-290 (2023)
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Robert M. Corless, David J. Jeffrey, Azar Shakoori:
Teaching Linear Algebra in a Mechanized Mathematical Environment. CICM 2023: 113-129
2022
[j75]
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Eunice Y. S. Chan, Robert M. Corless, Laureano González-Vega, J. Rafael Sendra, Juana Sendra:
Inner Bohemian inverses. Appl. Math. Comput. 421: 126945 (2022)
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Robert M. Corless, Leili Rafiee Sevyeri:
Stirling's Original Asymptotic Series from a Formula Like One of Binet's and its Evaluation by Sequence Acceleration. Exp. Math. 31(1): 184-191 (2022)
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Robert M. Corless, Leili Rafiee Sevyeri:
Compact cubic splines. J. Approx. Theory 283: 105810 (2022)
[j72]
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Paulina Chin, Robert M. Corless:
Proceedings of the Maple Conference 2021. Maple Trans. 2(1) (2022)
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Neil J. Calkin, Eunice Y. S. Chan, Robert M. Corless, David J. Jeffrey, Piers W. Lawrence:
A Fractal Eigenvector. Am. Math. Mon. 129(6): 503-523 (2022)
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Robert M. Corless, George Labahn, Dan Piponi, Leili Rafiee Sevyeri:
Bohemian Matrix Geometry. ISSAC 2022: 361-370
[i11]
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  - journals/corr/abs-2202-07769
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Robert M. Corless, George Labahn, Dan Piponi, Leili Rafiee Sevyeri:
Bohemian Matrix Geometry. CoRR abs/2202.07769 (2022)
2021
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Robert H. C. Moir, Robert M. Corless, David J. Jeffrey:
An unwinding number pair for continuous expressions of integrals. J. Symb. Comput. 105: 97-117 (2021)
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Neil J. Calkin, Eunice Y. S. Chan, Robert M. Corless:
Some Facts and Conjectures about Mandelbrot Polynomials. Maple Trans. 1(1): <ee>https://doi.org/10.5206/mt.v1i1.14037</ee> (2021)
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Robert M. Corless, Leili Rafiee Sevyeri, B. David Saunders:
Equivalences for Linearizations of Matrix Polynomials. ISSAC 2021: 107-114
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Robert M. Corless, Jürgen Gerhard, Ilias S. Kotsireas:
Maple in Mathematics Education and Research - 4th Maple Conference, MC 2020, Waterloo, Ontario, Canada, November 2-6, 2020, Revised Selected Papers. Communications in Computer and Information Science 1414, Springer 2021, ISBN 978-3-030-81697-1 [contents]
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Robert M. Corless, Leili Rafiee Sevyeri, B. David Saunders:
Equivalences for Linearizations of Matrix Polynomials. CoRR abs/2102.09726 (2021)
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  - journals/corr/abs-2103-13949
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Leili Rafiee Sevyeri, Robert M. Corless:
Approximate GCD in Lagrange bases. CoRR abs/2103.13949 (2021)
2020
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Amirhossein Amiraslani, Robert M. Corless, Madhusoodan Gunasingam:
Differentiation matrices for univariate polynomials. Numer. Algorithms 83(1): 1-31 (2020)
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Robert H. C. Moir, Robert M. Corless, Marc Moreno Maza, Ning Xie:
Symbolic-numeric integration of rational functions. Numer. Algorithms 83(4): 1295-1320 (2020)
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Robert M. Corless, Leili Rafiee Sevyeri:
The Runge Example for Interpolation and Wilkinson's Examples for Rootfinding. SIAM Rev. 62(1): 231-243 (2020)
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Robert M. Corless, Mark Giesbrecht, Leili Rafiee Sevyeri, B. David Saunders:
On Parametric Linear System Solving. CASC 2020: 188-205
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Robert M. Corless, Erik J. Postma:
Blends in Maple. MC 2020: 167-184
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Leili Rafiee Sevyeri, Robert M. Corless:
Approximate GCD in Lagrange bases. SYNASC 2020: 40-47
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  - journals/corr/abs-2007-05041
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Robert M. Corless, Erik Postma:
Blends in Maple. CoRR abs/2007.05041 (2020)
2019
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Robert M. Corless, Leili Rafiee Sevyeri:
Approximate GCD in Bernstein basis. ACM Commun. Comput. Algebra 53(3): 103-106 (2019)
[j58]
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Eunice Y. S. Chan, Robert M. Corless:
Minimal Height Companion Matrices for Euclid Polynomials. Math. Comput. Sci. 13(1-2): 41-56 (2019)
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Robert M. Corless, C. Yalçin Kaya, Robert H. C. Moir:
Optimal residuals and the Dahlquist test problem. Numer. Algorithms 81(4): 1253-1274 (2019)
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Ana C. Camargos Couto, Marc Moreno Maza, David Linder, David J. Jeffrey, Robert M. Corless:
Comprehensive LU Factors of Polynomial Matrices. MACIS 2019: 80-88
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Robert M. Corless, Leili Rafiee Sevyeri:
Approximate GCD in a Bernstein Basis. MC 2019: 77-91
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  - journals/corr/abs-1907-10677
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Eunice Y. S. Chan, Robert M. Corless, Laureano González-Vega, J. Rafael Sendra, Juana Sendra:
Upper Hessenberg and Toeplitz Bohemians. CoRR abs/1907.10677 (2019)
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Robert M. Corless, Leili Rafiee Sevyeri:
Approximate GCD in a Bernstein basis. CoRR abs/1910.01998 (2019)
2018
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Robert M. Corless, Julia E. Jankowski:
Revisiting the discharge time of a cylindrical leaking bucket: or, "one does not simply call dsolve into mordor.". ACM Commun. Comput. Algebra 52(1): 1-10 (2018)
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Robert M. Corless, David J. Jeffrey, David R. Stoutemyer:
Comprehensive anti-derivatives and parametric continuity. ACM Commun. Comput. Algebra 52(2): 32-33 (2018)
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Jonathan M. Borwein, Robert M. Corless:
Gamma and Factorial in the Monthly. Am. Math. Mon. 125(5): 400-424 (2018)
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Eunice Y. S. Chan, Robert M. Corless:
A random walk through experimental mathematics. CoRR abs/1801.05423 (2018)
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Eunice Y. S. Chan, Robert M. Corless, Laureano González-Vega, J. Rafael Sendra, Juana Sendra, Steven E. Thornton:
Bohemian Upper Hessenberg Matrices. CoRR abs/1809.10653 (2018)
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Eunice Y. S. Chan, Robert M. Corless, Laureano González-Vega, J. Rafael Sendra, Juana Sendra, Steven E. Thornton:
Bohemian Upper Hessenberg Toeplitz Matrices. CoRR abs/1809.10664 (2018)
2017
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Leili Rafiee Sevyeri, Robert M. Corless:
Linearization of a specific family of Bézout matrices. ACM Commun. Comput. Algebra 51(1): 21-22 (2017)
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Robert M. Corless, Marc Moreno Maza, Steven E. Thornton:
Jordan Canonical Form with Parameters from Frobenius Form with Parameters. MACIS 2017: 179-194
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Heba al Kafri, David J. Jeffrey, Robert M. Corless:
Rapidly Convergent Integrals and Function Evaluation. MACIS 2017: 270-274
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K. Amenyo Folitse, David J. Jeffrey, Robert M. Corless:
Properties and Computation of the Functional Inverse of Gamma. SYNASC 2017: 63-66
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Robert M. Corless, Robert H. C. Moir, Marc Moreno Maza, Ning Xie:
Symbolic-Numeric Integration of Rational Functions. CoRR abs/1712.01752 (2017)
2016
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Eunice Y. S. Chan, Robert M. Corless:
Fibonacci-mandelbrot polynomials and matrices. ACM Commun. Comput. Algebra 50(4): 155-157 (2016)
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Robert M. Corless, Steven E. Thornton:
The bohemian eigenvalue project. ACM Commun. Comput. Algebra 50(4): 158-160 (2016)
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Robert M. Corless, Julia E. Jankowski:
Variations on a Theme of Euler. SIAM Rev. 58(4): 775-792 (2016)
2015
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Robert H. C. Moir, Robert M. Corless, David J. Jeffrey:
Unwinding paths on the Riemann sphere for continuous integrals of rational functions. ACM Commun. Comput. Algebra 49(1): 35 (2015)
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Piers W. Lawrence, Robert M. Corless:
Backward Error of Polynomial Eigenvalue Problems Solved by Linearization of Lagrange Interpolants. SIAM J. Matrix Anal. Appl. 36(4): 1425-1442 (2015)
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Silvana Ilie, David J. Jeffrey, Robert M. Corless, X. Zhang:
Computation of Stirling Numbers and Generalizations. SYNASC 2015: 57-60
2014
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Robert M. Corless, Junrui Hu, David J. Jeffrey:
Some definite integrals containing the Tree T function. ACM Commun. Comput. Algebra 48(1/2): 33-41 (2014)
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Robert M. Corless, Marc Moreno Maza, Steven E. Thornton:
Zigzag Form over Families of Parametric Matrices. ACM Commun. Comput. Algebra 48(3/4): 109-112 (2014)
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Piers W. Lawrence, Robert M. Corless:
Stability of rootfinding for barycentric Lagrange interpolants. Numer. Algorithms 65(3): 447-464 (2014)
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Yiming Zhang, Robert M. Corless:
High-Accuracy Series Solution for Two-Dimensional Convection in a Horizontal Concentric Cylinder. SIAM J. Appl. Math. 74(3): 599-619 (2014)
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Robert M. Corless, Steven E. Thornton:
A Package for Parametric Matrix Computations. ICMS 2014: 442-449
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Robert M. Corless, David J. Jeffrey, Fei Wang:
The asymptotic analysis of some interpolated nonlinear recurrence relations. ISSAC 2014: 115-121
2013
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Robert M. Corless, Gema M. Diaz-Toca, Mario Fioravanti, Laureano González-Vega, Ignacio F. Rúa, Azar Shakoori:
Computing the topology of a real algebraic plane curve whose defining equations are available only "by values". Comput. Aided Geom. Des. 30(7): 675-706 (2013)
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Changbo Chen, Robert M. Corless, Marc Moreno Maza, Pei Yu, Yiming Zhang:
An Application of Regular Chain Theory to the Study of Limit cycles. Int. J. Bifurc. Chaos 23(9) (2013)
2012
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Piers W. Lawrence, Robert M. Corless, David J. Jeffrey:
Algorithm 917: Complex Double-Precision Evaluation of the Wright ω Function. ACM Trans. Math. Softw. 38(3): 20:1-20:17 (2012)
2011
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Robert M. Corless, Erik Postma, David R. Stoutemyer:
Rounding coefficients and artificially underflowing terms in non-numeric expressions. ACM Commun. Comput. Algebra 45(1/2): 17-48 (2011)
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John C. Butcher, Robert M. Corless, Laureano González-Vega, Azar Shakoori:
Polynomial algebra for Birkhoff interpolants. Numer. Algorithms 56(3): 319-347 (2011)
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Nargol Rezvani, Robert M. Corless:
Using weighted norms to find nearest polynomials satisfying linear constraints. SNC 2011: 81-87
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Piers W. Lawrence, Robert M. Corless:
Numerical stability of barycentric Hermite root-finding. SNC 2011: 147-148
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Robert M. Corless, Erik Postma, David R. Stoutemyer:
GCD of multivariate approximate polynomials using beautification with the subtractive algorithm. SNC 2011: 153-154
2009
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Robert M. Corless, Karin Gatermann, Ilias S. Kotsireas:
Using symmetries in the eigenvalue method for polynomial systems. J. Symb. Comput. 44(11): 1536-1550 (2009)
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Silvana Ilie, Robert M. Corless, Chris Essex:
The Computational Complexity of Extrapolation Methods. Math. Comput. Sci. 2(4): 557-566 (2009)
2008
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Silvana Ilie, Gustaf Söderlind, Robert M. Corless:
Adaptivity and computational complexity in the numerical solution of ODEs. J. Complex. 24(3): 341-361 (2008)
2007
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Robert M. Corless, Nargol Rezvani, Amirhossein Amiraslani:
Pseudospectra of Matrix Polynomials that Are Expressed in Alternative Bases. Math. Comput. Sci. 1(2): 353-374 (2007)
[j31]
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Amirhossein Amiraslani, Dhavide A. Aruliah, Robert M. Corless:
Block LU factors of generalized companion matrix pencils. Theor. Comput. Sci. 381(1-3): 134-147 (2007)
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Dhavide A. Aruliah, Robert M. Corless, Azar Shakoori, Laureano González-Vega, Ignacio F. Rúa:
Computing the topology of a real algebraic plane curve whose equation is not directly available. SNC 2007: 46-54
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Dhavide A. Aruliah, Robert M. Corless, Laureano González-Vega, Azar Shakoori:
Geometric applications of the Bezout matrix in the Lagrange basis. SNC 2007: 55-64
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Robert M. Corless, Hui Ding, David J. Jeffrey:
The solution of s exp(s) = a is not always the lambert w function of a. ISSAC 2007: 116-121
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Dhavide A. Aruliah, Robert M. Corless, Laureano González-Vega, Azar Shakoori:
Companion matrix pencils for hermite interpolants. SNC 2007: 197-198
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Robert M. Corless, Nargol Rezvani:
The nearest polynomial of lower degree. SNC 2007: 199-200
2006
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Silvana Ilie, Robert M. Corless, Greg Reid:
Numerical solutions of index-1 differential algebraic equations can be computed in polynomial time. Numer. Algorithms 41(2): 161-171 (2006)
2005
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Nargol Rezvani, Robert M. Corless:
The nearest polynomial with a given zero, revisited. SIGSAM Bull. 39(3): 73-79 (2005)
2004
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Robert M. Corless, Stephen M. Watt, Lihong Zhi:
QR factoring to compute the GCD of univariate approximate polynomials. IEEE Trans. Signal Process. 52(12): 3394-3402 (2004)
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Dhavide A. Aruliah, Robert M. Corless:
Numerical parameterization of affine varieties using. ISSAC 2004: 12-18
2003
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Robert M. Corless, Hiroshi Kai, Stephen M. Watt:
Approximate computation of pseudovarieties. SIGSAM Bull. 37(3): 67-71 (2003)
2002
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Russell J. Bradford, Robert M. Corless, James H. Davenport, David J. Jeffrey, Stephen M. Watt:
Reasoning about the Elementary Functions of Complex Analysis. Ann. Math. Artif. Intell. 36(3): 303-318 (2002)
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Robert M. Corless, David J. Jeffrey:
The Wright omega Function. AISC 2002: 76-89
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Robert M. Corless, André Galligo, Ilias S. Kotsireas, Stephen M. Watt:
A geometric-numeric algorithm for absolute factorization of multivariate polynomials. ISSAC 2002: 37-45
2001
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Robert M. Corless, Mark Giesbrecht, Mark van Hoeij, Ilias S. Kotsireas, Stephen M. Watt:
Towards factoring bivariate approximate polynomials. ISSAC 2001: 85-92
2000
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Robert M. Corless, David J. Jeffrey, Stephen M. Watt, James H. Davenport:
"According to Abramowitz and Stegun" or arccoth needn't be uncouth. SIGSAM Bull. 34(2): 58-65 (2000)
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Robert M. Corless, James H. Davenport, David J. Jeffrey, Gurjeet Litt, Stephen M. Watt:
Reasoning about the Elementary Functions of Complex Analysis. AISC 2000: 115-126
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Robert M. Corless, Mark Giesbrecht, Ilias S. Kotsireas, Stephen M. Watt:
Numerical Implicitization of Parametric Hypersurfaces with Linear Algebra. AISC 2000: 174-183
1999
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Robert M. Corless, Mark Giesbrecht, David J. Jeffrey, Stephen M. Watt:
Approximate polynomial decomposition. ISSAC 1999: 213-219
1998
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Robert M. Corless, David J. Jeffrey:
Graphing elementary Riemann surfaces. SIGSAM Bull. 32(1): 11-17 (1998)
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Robert M. Corless, Stephen M. Watt:
Report on the SNAP minisymposium at SIAM '98. SIGSAM Bull. 32(2): 35-37 (1998)
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Paulina Chin, Robert M. Corless, George F. Corliss:
Optimization Strategies for the Approximate GCD Problem. ISSAC 1998: 228-235
1997
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Robert M. Corless, David J. Jeffrey:
The Turing factorization of a rectangular matrix. SIGSAM Bull. 31(3): 20-30 (1997)
[j14]
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Robert M. Corless, David J. Jeffrey, Michael B. Monagan, Pratibha:
Two Perturbation Calculations in Fluid Mechanics Using Large-Expression Management. J. Symb. Comput. 23(4): 427-443 (1997)
[j13]
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Robert M. Corless, David J. Jeffrey:
Scientific Computing: One Part of the Revolution. J. Symb. Comput. 23(5/6): 485-495 (1997)
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Robert M. Corless, Patrizia M. Gianni, Barry M. Trager:
A Reordered Schur Factorization Method for Zero-dimensional Polynomial Systems with Multiple Roots. ISSAC 1997: 133-140
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Robert M. Corless, David J. Jeffrey, Donald E. Knuth:
A Sequence of Series for the Lambert W Function. ISSAC 1997: 197-204
1996
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Robert M. Corless, Gaston H. Gonnet, D. E. G. Hare, David J. Jeffrey, Donald E. Knuth:
On the LambertW function. Adv. Comput. Math. 5(1): 329-359 (1996)
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Robert M. Corless, David J. Jeffrey:
The unwinding number. SIGSAM Bull. 30(2): 28-35 (1996)
[j5]
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Jonathan M. Borwein, Robert M. Corless:
The Encyclopedia of Integer Sequences (N. J. A. Sloane and Simon Plouffe). SIAM Rev. 38(2): 333-337 (1996)
1995
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Robert M. Corless, Patrizia M. Gianni, Barry M. Trager, Stephen M. Watt:
The Singular Value Decomposition for Polynomial Systems. ISSAC 1995: 195-207
1992
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Robert M. Corless, David J. Jeffrey:
Well ... it isn't quite that simple. SIGSAM Bull. 26(3): 2-6 (1992)
1990
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Robert M. Corless, David J. Jeffrey:
Solution of a Hydrodynamic Lubrication Problem with Maple. J. Symb. Comput. 9(4): 503-513 (1990)

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