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Corless, Robert Malcolm

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Author ID: corless.robert-m Recent zbMATH articles by "Corless, Robert Malcolm"
Published as: Corless, Robert M.; Corless, R. M.; Corless, R.; Corless, Robert
Homepage: http://www.apmaths.uwo.ca/~rcorless/
External Links: MGP · Google Scholar · dblp · GND
Documents Indexed: 124 Publications since 1988, including 3 Books
2 Contributions as Editor
Reviewing Activity: 6 Reviews
Co-Authors: 84 Co-Authors with 106 Joint Publications
1,922 Co-Co-Authors
all top 5

Co-Authors

20 single-authored
26 Jeffrey, David J.
9 Chan, Eunice Y. S.
8 Gonzalez-Vega, Laureano
7 Watt, Stephen Michael
6 Lawrence, Piers W.
5 Amiraslani, Amirhossein
5 Kotsireas, Ilias S.
5 Sevyeri, Leili Rafiee
5 Shakoori, Azar
5 Zhao, Jichao
4 Aruliah, D. A.
4 Borwein, Jonathan Michael
4 Fillion, Nicolas
4 Hare, David E. G.
4 Ilie, Silvana
4 Moreno Maza, Marc
4 Thornton, Steven E.
3 Borwein, Peter Benjamin
3 Davenport, James Harold
3 Giesbrecht, Mark W.
3 Knuth, Donald Ervin
3 Moir, Robert H. C.
3 Rezvani, Nargol
3 Sendra, Juan Rafael
3 Sendra, Juana
3 Stoutemyer, David R.
2 Benghorbal, Mhenni M.
2 Corliss, George F.
2 Davison, Matt
2 Díaz-Toca, Gema María
2 Gianni, Patrizia M.
2 Jörgenson, Loki
2 Kalugin, German A.
2 Pilyugin, Sergei Yu.
2 Postma, Erik
2 Trager, Barry M.
2 Yu, Pei
2 Zhang, Yiming
1 ALKafri, Heba Q.
1 Assefa, Dawit
1 Bradford, Russell J.
1 Brimacombe, Chris
1 Bronstein, Manuel Eric
1 Butcher, John C.
1 Calkin, Neil J.
1 Chen, Changbo
1 Chin, Paulina
1 Connell, Amanda E.
1 Couto, Ana C. Camargos
1 Ding, Hui
1 El-Sawy, Khaled
1 Essex, Chris
1 Fioravanti, Mario A.
1 Frank, G. W.
1 Galligo, André
1 Gatermann, Karin
1 Gonnet, Gaston H.
1 Gunasingam, Madhusoodan
1 Heffernan, Jane Marie
1 Higham, Nicholas J.
1 Hu, Junrui
1 Jankowski, Julia E.
1 Kaya, C. Yalçin
1 Lancaster, Peter
1 Lauterbach, Reiner
1 Linder, David
1 Litt, Gurjeet
1 Möller, Hans Michael
1 Monagan, Michael B.
1 Monroe, J. Graham
1 Necula, Ioana
1 Pratibha
1 Reid, Greg J.
1 Rokicki, Jacek
1 Rúa, Ignacio F.
1 Shampine, Lawrence Fred
1 Sinclair, Nathalie
1 Söderlind, Gustaf
1 van Hoeij, Mark
1 Xie, Ning
1 Ye, Honglin
1 Zamir, Mair
1 Zhang, Tie
1 Zhi, Lihong
all top 5

Serials

7 Numerical Algorithms
5 American Mathematical Monthly
5 Journal of Symbolic Computation
5 SIAM Review
5 ACM Communications in Computer Algebra
4 Applied Mathematics and Computation
4 SIGSAM Bulletin
3 Linear Algebra and its Applications
3 Integral Transforms and Special Functions
3 Mathematics in Computer Science
2 Journal of Mathematical Analysis and Applications
2 Journal of Computational and Applied Mathematics
2 The Mathematical Scientist
2 Theoretical Computer Science
2 Physica D
2 ELA. The Electronic Journal of Linear Algebra
2 International Journal of Pure and Applied Mathematics
1 Computers & Mathematics with Applications
1 IMA Journal of Numerical Analysis
1 Journal of Computational Physics
1 The Mathematical Gazette
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 ACM Transactions on Mathematical Software
1 BIT
1 Journal of Approximation Theory
1 Synthese
1 Comptes Rendus Mathématiques de l’Académie des Sciences
1 Computer Aided Geometric Design
1 Journal of Complexity
1 SIAM Journal on Matrix Analysis and Applications
1 IEEE Transactions on Signal Processing
1 SIAM Journal on Applied Mathematics
1 Comptes Rendus de l’Académie des Sciences. Série I
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Experimental Mathematics
1 Advances in Computational Mathematics
1 Annals of Mathematics and Artificial Intelligence
1 Interval Computations
1 Analele Universității din Timișoara. Seria Matematică-Informatică
1 Open Systems & Information Dynamics
1 Communications in Nonlinear Science and Numerical Simulation
1 La Gaceta de la Real Sociedad Matemática Española
1 CMS Conference Proceedings
1 Fields Institute Communications
1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics
1 Banach Journal of Mathematical Analysis

Publications by Year

Citations contained in zbMATH Open

90 Publications have been cited 1,710 times in 1,413 Documents Cited by Year
On the Lambert \(w\) function. Zbl 0863.65008
Corless, R. M.; Gonnet, G. H.; Hare, D. E. G.; Jeffrey, D. J.; Knuth, D. E.
876
1996
The singular value decomposition for polynomial systems. Zbl 0920.65034
Corless, Robert M.; Gianni, Patrizia M.; Trager, Barry M.; Watt, Stephen M.
55
1995
Linearization of matrix polynomials expressed in polynomial bases. Zbl 1158.15022
Amiraslani, A.; Corless, R. M.; Lancaster, P.
49
2009
Approximate and real trajectories for generic dynamical systems. Zbl 0821.58036
Corless, Robert M.; Pilyugin, S. Yu.
48
1995
A sequence of series for the Lambert \(W\) function. Zbl 0916.65015
Corless, Robert M.; Jeffrey, David J.; Knuth, Donald E.
40
1997
Compact finite difference method for American option pricing. Zbl 1151.91552
Zhao, Jichao; Davison, Matt; Corless, Robert M.
37
2007
\(QR\) factoring to compute the GCD of univariate approximate polynomials. Zbl 1372.65120
Corless, Robert M.; Watt, Stephen M.; Zhi, Lihong
31
2004
A graduate introduction to numerical methods. From the viewpoint of backward error analysis. Zbl 1295.65001
Corless, Robert M.; Fillion, Nicolas
30
2013
A reordered Schur factorization method for zero-dimensional polynomial systems with multiple roots. Zbl 0917.65048
Corless, Robert M.; Gianni, Patrizia M.; Trager, Barry M.
28
1997
Unwinding the branches of the Lambert \(W\) function. Zbl 0852.33001
Jeffrey, D. J.; Hare, D. E. G.; Corless, Robert M.
24
1996
Numerical implicitization of parametric hypersurfaces with linear algebra. Zbl 1042.65020
Corless, Robert M.; Giesbrecht, Mark W.; Kotsireas, Ilias S.; Watt, Stephen M.
21
2001
Compact finite difference method for integro-differential equations. Zbl 1102.65144
Zhao, Jichao; Corless, Robert M.
20
2006
Symbolic computation of limit cycles associated with Hilbert’s 16th problem. Zbl 1221.34082
Yu, P.; Corless, R.
20
2009
Towards factoring bivariate approximate polynomials. Zbl 1356.13030
Corless, Robert M.; Giesbrecht, Mark W.; van Hoeij, Mark; Kotsireas, Ilias S.; Watt, Stephen M.
18
2001
Compact finite difference method for integro-differential equations. Zbl 1331.65180
Zhao, Jichao; Corless, Robert M.
17
2006
Emerging tools for experimental mathematics. Zbl 0980.68146
Borwein, Jonathan M.; Corless, Robert M.
14
1999
Optimization strategies for the approximate GCD problem. Zbl 0922.65011
Chin, Paulina; Corless, Robert M.; Corliss, George F.
13
1998
Barycentric Hermite interpolants for event localization in initial-value problems. Zbl 1188.65014
Corless, Robert M.; Shakoori, Azar; Aruliah, D. A.; Gonzales-Vega, Laureano
13
2008
Convergence of the compact finite difference method for second-order elliptic equations. Zbl 1111.65098
Zhao, Jichao; Zhang, Tie; Corless, Robert M.
13
2006
Defect-controlled numerical methods and shadowing for chaotic differential equations. Zbl 0779.34035
Corless, Robert M.
13
1992
What good are numerical simulations of chaotic dynamical systems? Zbl 0813.65101
Corless, R. M.
13
1994
Continued fractions and chaos. Zbl 0758.58020
Corless, R. M.
12
1992
Stress moments of nearly touching spheres in low Reynolds number flow. Zbl 0663.76022
Corless, R. M.; Jeffrey, D. J.
11
1988
An application of regular chain theory to the study of limit cycles. Zbl 1277.34033
Chen, Changbo; Corless, Robert M.; Maza, Marc Moreno; Yu, Pei; Zhang, Yiming
11
2013
Initial value problems for ODEs in problem solving environments. Zbl 0971.65062
Shampine, L. F.; Corless, Robert M.
10
2000
The nearest polynomial with a given zero, revisited. Zbl 1341.12002
Rezvani, Nargol; Corless, Robert M.
10
2005
Stability of rootfinding for barycentric Lagrange interpolants. Zbl 1297.65051
Lawrence, Piers W.; Corless, Robert M.
10
2014
On the inversion of \(y^{\alpha} e^ y\) in terms of associated Stirling numbers. (Sur l’inversion de \(y^{\alpha} e^ y\) au moyen des nombres de Stirling associés.) Zbl 0846.05002
Jeffrey, David J.; Corless, Robert M.; Hare, David E. G.; Knuth, Donald E.
9
1995
Essential Maple 7. An introduction for scientific programmers. Zbl 0987.68563
Corless, Robert M.
9
2002
Stieltjes and other integral representations for functions of Lambert W. Zbl 1258.33015
Kalugin, German A.; Jeffrey, David J.; Corless, Robert M.; Borwein, Peter B.
9
2012
On a generalized companion matrix pencil for matrix polynomials expressed in the Lagrange basis. Zbl 1117.65051
Corless, Robert M.
9
2007
Error backward. Zbl 0809.65090
Corless, Robert M.
9
1994
Essential Maple. A guide for scientific programmers. Zbl 0813.68069
Corless, Robert M.
9
1995
A geometric-numeric algorithm for absolute factorization of multivariate polynomials. Zbl 1072.68658
Corless, Robert M.; Galligo, André; Kotsireas, Ilias S.; Watt, Stephen M.
8
2002
The Wright \(\omega\) function. Zbl 1072.68568
Corless, Robert M.; Jeffrey, D. J.
8
2002
Solving some delay differential equations with computer algebra. Zbl 1115.34074
Heffernan, Jane M.; Corless, Robert M.
8
2006
The solution of \(s\exp(s)=a\) is not always the Lambert \(w\) function of \(a\). Zbl 1190.34072
Corless, Robert M.; Ding, Hui; Higham, Nicholas J.; Jeffrey, David J.
7
2007
Pseudospectra of matrix polynomials that are expressed in alternative bases. Zbl 1136.15012
Corless, Robert M.; Rezvani, Nargol; Amiraslani, Amirhossein
7
2007
Rationale for guaranteed ODE defect control. Zbl 0838.65085
Corless, Robert M.; Corliss, George F.
6
1992
Adaptivity and computational complexity in the numerical solution of ODEs. Zbl 1145.65046
Ilie, Silvana; Söderlind, Gustaf; Corless, Robert M.
6
2008
Algebraic linearizations of matrix polynomials. Zbl 1433.15018
Chan, Eunice Y. S.; Corless, Robert M.; Gonzalez-Vega, Laureano; Sendra, J. Rafael; Sendra, Juana
6
2019
Polynomial algebra for Birkhoff interpolants. Zbl 1218.41002
Butcher, John C.; Corless, Robert M.; Gonzalez-Vega, Laureano; Shakoori, Azar
6
2011
Upper Hessenberg and Toeplitz Bohemians. Zbl 07207295
Chan, Eunice Y. S.; Corless, Robert M.; Gonzalez-Vega, Laureano; Sendra, J. Rafael; Sendra, Juana; Thornton, Steven E.
6
2020
Gamma and factorial in the Monthly. Zbl 1392.33001
Borwein, Jonathan M.; Corless, Robert M.
6
2018
Backward error of polynomial eigenvalue problems solved by linearization of Lagrange interpolants. Zbl 1327.65073
Lawrence, Piers W.; Corless, Robert M.
6
2015
Bernstein, Pick, Poisson and related integral expressions for Lambert \(W\). Zbl 1255.30039
Kalugin, German A.; Jeffrey, David J.; Corless, Robert M.
6
2012
Chaos and continued fractions. Zbl 0723.58037
Corless, R. M.; Frank, G. W.; Monroe, J. Graham
6
1990
The Bohemian eigenvalue project. Zbl 1365.68485
Corless, Robert M.; Thornton, Steven E.
6
2016
Reasoning about the elementary functions of complex analysis. Zbl 1007.30001
Bradford, Russell; Corless, Robert M.; Davenport, James H.; Jeffrey, David J.; Watt, Stephen M.
5
2002
Financial applications of symbolically generated compact finite difference formulae. Zbl 1284.91578
Zhao, Jichao; Corless, Robert M.; Davison, Matt
5
2007
Block \(\mathbf {LU}\) factors of generalized companion matrix pencils. Zbl 1140.65032
Amiraslani, A.; Aruliah, D. A.; Corless, R. M.
5
2007
Numerical stability of barycentric Hermite root-finding. Zbl 1345.65031
Lawrence, Piers W.; Corless, Robert M.
5
2011
Numerical solutions of index-1 differential algebraic equations can be computed in polynomial time. Zbl 1095.65081
Ilie, Silvana; Corless, Robert M.; Reid, Greg
5
2006
A new view of the computational complexity of IVP for ODE. Zbl 1020.65037
Corless, Robert M.
4
2002
Polynomial cost for solving IVP for high-index DAE. Zbl 1141.65066
Corless, Robert M.; Ilie, Silvana
4
2008
The symbolic generation of finite-difference formulae. Zbl 0900.65296
Corless, Robert M.; Rokicki, Jacek
4
1996
Computing the topology of a real algebraic plane curve whose defining equations are available only “by values”. Zbl 1285.14065
Corless, Robert M.; Diaz-Toca, Gema M.; Fioravanti, Mario; Gonzalez-Vega, Laureano; Rua, Ignacio F.; Shakoori, Azar
4
2013
Algorithm 917: Complex double-precision evaluation of the Wright \({\omega}\) function. Zbl 1365.65049
Lawrence, Piers W.; Corless, Robert M.; Jeffrey, David J.
4
2012
Numerical parameterization of affine varieties using ODEs. Zbl 1088.68184
Aruliah, D. A.; Corless, Robert M.
3
2004
An experimental interval arithmetic package in Maple. Zbl 0829.65149
Connell, Amanda E.; Corless, Robert M.
3
1993
Optimal residuals and the Dahlquist test problem. Zbl 1480.65160
Corless, Robert M.; Kaya, C. Yalçın; Moir, Robert H. C.
3
2019
Numerical evaluation of Airy functions with complex arguments. Zbl 0758.65010
Corless, R. M.; Jeffrey, D. J.; Rasmussen, H.
3
1992
A new kind of companion matrix. Zbl 1375.15012
Chan, Eunice Y. S.; Corless, Robert M.
3
2017
On the epistemological analysis of modeling and computational error in the mathematical sciences. Zbl 1302.00053
Fillion, Nicolas; Corless, Robert M.
3
2014
Bifurcation in a flow-induced vibration model. Zbl 0830.34041
Corless, Robert M.
2
1995
An elementary solution of a minimax problem arising in algorithms for automatic mesh selection. Zbl 1054.65084
Corless, Robert M.
2
2000
What is organic mathematics? Zbl 1053.00506
Borwein, Jonathan M.; Borwein, Peter B.; Corless, Robert M.; Jörgenson, Loki; Sinclair, Nathalie
2
1997
Exact rational solutions of a transcendental equation. Zbl 0918.65035
Jeffrey, D. J.; Hare, D. E. G.; Corless, R. M.
2
1998
Power series solutions of fractional differential equations. Zbl 1105.34035
Benghorbal, Mhenni M.; Corless, Robert M.
2
2004
The largest roots of the Mandelbrot polynomials. Zbl 1280.37040
Corless, Robert M.; Lawrence, Piers W.
2
2013
Algebraic properties of the Lambert \(W\) function from a result of Rosenlicht and of Liouville. Zbl 1156.33004
Bronstein, Manuel; Corless, Robert M.; Davenport, James H.; Jeffrey, D. J.
2
2008
Two perturbation calculations in fluid mechanics using large-expression management. Zbl 0872.68074
Corless, R. M.; Jeffrey, D. J.; Monagan, M. B.; Pratibha
2
1997
Variations on a theme of Euler. Zbl 06648226
Corless, Robert M.; Jankowski, Julia E.
2
2016
Reasoning about the elementary functions of complex analysis. Zbl 1042.68128
Corless, Robert M.; Davenport, James H.; Jeffrey, David J.; Litt, Gurjeet; Watt, Stephen M.
2
2001
Solution of a hydrodynamic lubrication problem with Maple. Zbl 0693.76044
Corless, R. M.; Jeffrey, D. J.
2
1990
Differentiation matrices for univariate polynomials. Zbl 1431.65020
Amiraslani, Amirhossein; Corless, Robert M.; Gunasingam, Madhusoodan
2
2020
Jordan canonical form with parameters from Frobenius form with parameters. Zbl 07036051
Corless, Robert M.; Moreno Maza, Marc; Thornton, Steven E.
1
2017
Continued fractions and chaos. (Reprint). Zbl 0890.58045
Corless, Robert M.
1
1997
Jeffery-Hamel flow with maple: a case study of integration of elliptic functions in a CAS. Zbl 1190.68087
Corless, Robert M.; Assefa, Dawit
1
2007
Using symmetries in the eigenvalue method for polynomial systems. Zbl 1174.14053
Corless, Robert M.; Gatermann, Karin; Kotsireas, Ilias S.
1
2009
A comparison of three computer algebra systems for the solution of a problem in hydrodynamic lubrication. Zbl 0646.76042
Corless, R. M.; Jeffrey, D. J.
1
1988
Minimal height companion matrices for Euclid polynomials. Zbl 1474.11069
Chan, E. Y. S.; Corless, R. M.
1
2019
The Runge example for interpolation and Wilkinson’s examples for rootfinding. Zbl 1485.65014
Corless, Robert M.; Sevyeri, Leili Rafiee
1
2020
Symbolic-numeric integration of rational functions. Zbl 07191896
Moir, Robert H. C.; Corless, Robert M.; Maza, Marc Moreno; Xie, Ning
1
2020
Backward error analysis for perturbation methods. Zbl 1450.65075
Corless, Robert M.; Fillion, Nicolas
1
2019
Using weighted norms to find nearest polynomials satisfying linear constraints. Zbl 1346.68300
Rezvani, Nargol; Corless, Robert M.
1
2011
Evaluation of upper Lyapunov exponents on hyperbolic sets. Zbl 0821.58028
Corless, Robert M.; Pilyugin, S. Yu.
1
1995
The Bézout matrix for Hermite interpolants. Zbl 1312.15055
Aruliah, D. A.; Corless, R. M.; Diaz-Toca, G. M.; Gonzalez-Vega, L.; Shakoori, A.
1
2015
A package for parametric matrix computations. Zbl 1434.15002
Corless, Robert M.; Thornton, Steven E.
1
2014
High-accuracy series solution for two-dimensional convection in a horizontal concentric cylinder. Zbl 1299.76197
Zhang, Yiming; Corless, Robert M.
1
2014
Upper Hessenberg and Toeplitz Bohemians. Zbl 07207295
Chan, Eunice Y. S.; Corless, Robert M.; Gonzalez-Vega, Laureano; Sendra, J. Rafael; Sendra, Juana; Thornton, Steven E.
6
2020
Differentiation matrices for univariate polynomials. Zbl 1431.65020
Amiraslani, Amirhossein; Corless, Robert M.; Gunasingam, Madhusoodan
2
2020
The Runge example for interpolation and Wilkinson’s examples for rootfinding. Zbl 1485.65014
Corless, Robert M.; Sevyeri, Leili Rafiee
1
2020
Symbolic-numeric integration of rational functions. Zbl 07191896
Moir, Robert H. C.; Corless, Robert M.; Maza, Marc Moreno; Xie, Ning
1
2020
Algebraic linearizations of matrix polynomials. Zbl 1433.15018
Chan, Eunice Y. S.; Corless, Robert M.; Gonzalez-Vega, Laureano; Sendra, J. Rafael; Sendra, Juana
6
2019
Optimal residuals and the Dahlquist test problem. Zbl 1480.65160
Corless, Robert M.; Kaya, C. Yalçın; Moir, Robert H. C.
3
2019
Minimal height companion matrices for Euclid polynomials. Zbl 1474.11069
Chan, E. Y. S.; Corless, R. M.
1
2019
Backward error analysis for perturbation methods. Zbl 1450.65075
Corless, Robert M.; Fillion, Nicolas
1
2019
Gamma and factorial in the Monthly. Zbl 1392.33001
Borwein, Jonathan M.; Corless, Robert M.
6
2018
A new kind of companion matrix. Zbl 1375.15012
Chan, Eunice Y. S.; Corless, Robert M.
3
2017
Jordan canonical form with parameters from Frobenius form with parameters. Zbl 07036051
Corless, Robert M.; Moreno Maza, Marc; Thornton, Steven E.
1
2017
The Bohemian eigenvalue project. Zbl 1365.68485
Corless, Robert M.; Thornton, Steven E.
6
2016
Variations on a theme of Euler. Zbl 06648226
Corless, Robert M.; Jankowski, Julia E.
2
2016
Backward error of polynomial eigenvalue problems solved by linearization of Lagrange interpolants. Zbl 1327.65073
Lawrence, Piers W.; Corless, Robert M.
6
2015
The Bézout matrix for Hermite interpolants. Zbl 1312.15055
Aruliah, D. A.; Corless, R. M.; Diaz-Toca, G. M.; Gonzalez-Vega, L.; Shakoori, A.
1
2015
Stability of rootfinding for barycentric Lagrange interpolants. Zbl 1297.65051
Lawrence, Piers W.; Corless, Robert M.
10
2014
On the epistemological analysis of modeling and computational error in the mathematical sciences. Zbl 1302.00053
Fillion, Nicolas; Corless, Robert M.
3
2014
A package for parametric matrix computations. Zbl 1434.15002
Corless, Robert M.; Thornton, Steven E.
1
2014
High-accuracy series solution for two-dimensional convection in a horizontal concentric cylinder. Zbl 1299.76197
Zhang, Yiming; Corless, Robert M.
1
2014
A graduate introduction to numerical methods. From the viewpoint of backward error analysis. Zbl 1295.65001
Corless, Robert M.; Fillion, Nicolas
30
2013
An application of regular chain theory to the study of limit cycles. Zbl 1277.34033
Chen, Changbo; Corless, Robert M.; Maza, Marc Moreno; Yu, Pei; Zhang, Yiming
11
2013
Computing the topology of a real algebraic plane curve whose defining equations are available only “by values”. Zbl 1285.14065
Corless, Robert M.; Diaz-Toca, Gema M.; Fioravanti, Mario; Gonzalez-Vega, Laureano; Rua, Ignacio F.; Shakoori, Azar
4
2013
The largest roots of the Mandelbrot polynomials. Zbl 1280.37040
Corless, Robert M.; Lawrence, Piers W.
2
2013
Stieltjes and other integral representations for functions of Lambert W. Zbl 1258.33015
Kalugin, German A.; Jeffrey, David J.; Corless, Robert M.; Borwein, Peter B.
9
2012
Bernstein, Pick, Poisson and related integral expressions for Lambert \(W\). Zbl 1255.30039
Kalugin, German A.; Jeffrey, David J.; Corless, Robert M.
6
2012
Algorithm 917: Complex double-precision evaluation of the Wright \({\omega}\) function. Zbl 1365.65049
Lawrence, Piers W.; Corless, Robert M.; Jeffrey, David J.
4
2012
Polynomial algebra for Birkhoff interpolants. Zbl 1218.41002
Butcher, John C.; Corless, Robert M.; Gonzalez-Vega, Laureano; Shakoori, Azar
6
2011
Numerical stability of barycentric Hermite root-finding. Zbl 1345.65031
Lawrence, Piers W.; Corless, Robert M.
5
2011
Using weighted norms to find nearest polynomials satisfying linear constraints. Zbl 1346.68300
Rezvani, Nargol; Corless, Robert M.
1
2011
Linearization of matrix polynomials expressed in polynomial bases. Zbl 1158.15022
Amiraslani, A.; Corless, R. M.; Lancaster, P.
49
2009
Symbolic computation of limit cycles associated with Hilbert’s 16th problem. Zbl 1221.34082
Yu, P.; Corless, R.
20
2009
Using symmetries in the eigenvalue method for polynomial systems. Zbl 1174.14053
Corless, Robert M.; Gatermann, Karin; Kotsireas, Ilias S.
1
2009
Barycentric Hermite interpolants for event localization in initial-value problems. Zbl 1188.65014
Corless, Robert M.; Shakoori, Azar; Aruliah, D. A.; Gonzales-Vega, Laureano
13
2008
Adaptivity and computational complexity in the numerical solution of ODEs. Zbl 1145.65046
Ilie, Silvana; Söderlind, Gustaf; Corless, Robert M.
6
2008
Polynomial cost for solving IVP for high-index DAE. Zbl 1141.65066
Corless, Robert M.; Ilie, Silvana
4
2008
Algebraic properties of the Lambert \(W\) function from a result of Rosenlicht and of Liouville. Zbl 1156.33004
Bronstein, Manuel; Corless, Robert M.; Davenport, James H.; Jeffrey, D. J.
2
2008
Compact finite difference method for American option pricing. Zbl 1151.91552
Zhao, Jichao; Davison, Matt; Corless, Robert M.
37
2007
On a generalized companion matrix pencil for matrix polynomials expressed in the Lagrange basis. Zbl 1117.65051
Corless, Robert M.
9
2007
The solution of \(s\exp(s)=a\) is not always the Lambert \(w\) function of \(a\). Zbl 1190.34072
Corless, Robert M.; Ding, Hui; Higham, Nicholas J.; Jeffrey, David J.
7
2007
Pseudospectra of matrix polynomials that are expressed in alternative bases. Zbl 1136.15012
Corless, Robert M.; Rezvani, Nargol; Amiraslani, Amirhossein
7
2007
Financial applications of symbolically generated compact finite difference formulae. Zbl 1284.91578
Zhao, Jichao; Corless, Robert M.; Davison, Matt
5
2007
Block \(\mathbf {LU}\) factors of generalized companion matrix pencils. Zbl 1140.65032
Amiraslani, A.; Aruliah, D. A.; Corless, R. M.
5
2007
Jeffery-Hamel flow with maple: a case study of integration of elliptic functions in a CAS. Zbl 1190.68087
Corless, Robert M.; Assefa, Dawit
1
2007
Compact finite difference method for integro-differential equations. Zbl 1102.65144
Zhao, Jichao; Corless, Robert M.
20
2006
Compact finite difference method for integro-differential equations. Zbl 1331.65180
Zhao, Jichao; Corless, Robert M.
17
2006
Convergence of the compact finite difference method for second-order elliptic equations. Zbl 1111.65098
Zhao, Jichao; Zhang, Tie; Corless, Robert M.
13
2006
Solving some delay differential equations with computer algebra. Zbl 1115.34074
Heffernan, Jane M.; Corless, Robert M.
8
2006
Numerical solutions of index-1 differential algebraic equations can be computed in polynomial time. Zbl 1095.65081
Ilie, Silvana; Corless, Robert M.; Reid, Greg
5
2006
The nearest polynomial with a given zero, revisited. Zbl 1341.12002
Rezvani, Nargol; Corless, Robert M.
10
2005
\(QR\) factoring to compute the GCD of univariate approximate polynomials. Zbl 1372.65120
Corless, Robert M.; Watt, Stephen M.; Zhi, Lihong
31
2004
Numerical parameterization of affine varieties using ODEs. Zbl 1088.68184
Aruliah, D. A.; Corless, Robert M.
3
2004
Power series solutions of fractional differential equations. Zbl 1105.34035
Benghorbal, Mhenni M.; Corless, Robert M.
2
2004
Essential Maple 7. An introduction for scientific programmers. Zbl 0987.68563
Corless, Robert M.
9
2002
A geometric-numeric algorithm for absolute factorization of multivariate polynomials. Zbl 1072.68658
Corless, Robert M.; Galligo, André; Kotsireas, Ilias S.; Watt, Stephen M.
8
2002
The Wright \(\omega\) function. Zbl 1072.68568
Corless, Robert M.; Jeffrey, D. J.
8
2002
Reasoning about the elementary functions of complex analysis. Zbl 1007.30001
Bradford, Russell; Corless, Robert M.; Davenport, James H.; Jeffrey, David J.; Watt, Stephen M.
5
2002
A new view of the computational complexity of IVP for ODE. Zbl 1020.65037
Corless, Robert M.
4
2002
Numerical implicitization of parametric hypersurfaces with linear algebra. Zbl 1042.65020
Corless, Robert M.; Giesbrecht, Mark W.; Kotsireas, Ilias S.; Watt, Stephen M.
21
2001
Towards factoring bivariate approximate polynomials. Zbl 1356.13030
Corless, Robert M.; Giesbrecht, Mark W.; van Hoeij, Mark; Kotsireas, Ilias S.; Watt, Stephen M.
18
2001
Reasoning about the elementary functions of complex analysis. Zbl 1042.68128
Corless, Robert M.; Davenport, James H.; Jeffrey, David J.; Litt, Gurjeet; Watt, Stephen M.
2
2001
Initial value problems for ODEs in problem solving environments. Zbl 0971.65062
Shampine, L. F.; Corless, Robert M.
10
2000
An elementary solution of a minimax problem arising in algorithms for automatic mesh selection. Zbl 1054.65084
Corless, Robert M.
2
2000
Emerging tools for experimental mathematics. Zbl 0980.68146
Borwein, Jonathan M.; Corless, Robert M.
14
1999
Optimization strategies for the approximate GCD problem. Zbl 0922.65011
Chin, Paulina; Corless, Robert M.; Corliss, George F.
13
1998
Exact rational solutions of a transcendental equation. Zbl 0918.65035
Jeffrey, D. J.; Hare, D. E. G.; Corless, R. M.
2
1998
A sequence of series for the Lambert \(W\) function. Zbl 0916.65015
Corless, Robert M.; Jeffrey, David J.; Knuth, Donald E.
40
1997
A reordered Schur factorization method for zero-dimensional polynomial systems with multiple roots. Zbl 0917.65048
Corless, Robert M.; Gianni, Patrizia M.; Trager, Barry M.
28
1997
What is organic mathematics? Zbl 1053.00506
Borwein, Jonathan M.; Borwein, Peter B.; Corless, Robert M.; Jörgenson, Loki; Sinclair, Nathalie
2
1997
Two perturbation calculations in fluid mechanics using large-expression management. Zbl 0872.68074
Corless, R. M.; Jeffrey, D. J.; Monagan, M. B.; Pratibha
2
1997
Continued fractions and chaos. (Reprint). Zbl 0890.58045
Corless, Robert M.
1
1997
On the Lambert \(w\) function. Zbl 0863.65008
Corless, R. M.; Gonnet, G. H.; Hare, D. E. G.; Jeffrey, D. J.; Knuth, D. E.
876
1996
Unwinding the branches of the Lambert \(W\) function. Zbl 0852.33001
Jeffrey, D. J.; Hare, D. E. G.; Corless, Robert M.
24
1996
The symbolic generation of finite-difference formulae. Zbl 0900.65296
Corless, Robert M.; Rokicki, Jacek
4
1996
The singular value decomposition for polynomial systems. Zbl 0920.65034
Corless, Robert M.; Gianni, Patrizia M.; Trager, Barry M.; Watt, Stephen M.
55
1995
Approximate and real trajectories for generic dynamical systems. Zbl 0821.58036
Corless, Robert M.; Pilyugin, S. Yu.
48
1995
On the inversion of \(y^{\alpha} e^ y\) in terms of associated Stirling numbers. (Sur l’inversion de \(y^{\alpha} e^ y\) au moyen des nombres de Stirling associés.) Zbl 0846.05002
Jeffrey, David J.; Corless, Robert M.; Hare, David E. G.; Knuth, Donald E.
9
1995
Essential Maple. A guide for scientific programmers. Zbl 0813.68069
Corless, Robert M.
9
1995
Bifurcation in a flow-induced vibration model. Zbl 0830.34041
Corless, Robert M.
2
1995
Evaluation of upper Lyapunov exponents on hyperbolic sets. Zbl 0821.58028
Corless, Robert M.; Pilyugin, S. Yu.
1
1995
What good are numerical simulations of chaotic dynamical systems? Zbl 0813.65101
Corless, R. M.
13
1994
Error backward. Zbl 0809.65090
Corless, Robert M.
9
1994
An experimental interval arithmetic package in Maple. Zbl 0829.65149
Connell, Amanda E.; Corless, Robert M.
3
1993
Defect-controlled numerical methods and shadowing for chaotic differential equations. Zbl 0779.34035
Corless, Robert M.
13
1992
Continued fractions and chaos. Zbl 0758.58020
Corless, R. M.
12
1992
Rationale for guaranteed ODE defect control. Zbl 0838.65085
Corless, Robert M.; Corliss, George F.
6
1992
Numerical evaluation of Airy functions with complex arguments. Zbl 0758.65010
Corless, R. M.; Jeffrey, D. J.; Rasmussen, H.
3
1992
Chaos and continued fractions. Zbl 0723.58037
Corless, R. M.; Frank, G. W.; Monroe, J. Graham
6
1990
Solution of a hydrodynamic lubrication problem with Maple. Zbl 0693.76044
Corless, R. M.; Jeffrey, D. J.
2
1990
Stress moments of nearly touching spheres in low Reynolds number flow. Zbl 0663.76022
Corless, R. M.; Jeffrey, D. J.
11
1988
A comparison of three computer algebra systems for the solution of a problem in hydrodynamic lubrication. Zbl 0646.76042
Corless, R. M.; Jeffrey, D. J.
1
1988
all top 5

Cited by 2,328 Authors

43 Corless, Robert Malcolm
15 Jeffrey, David J.
13 Yu, Pei
12 Tang, Sanyi
11 Mező, István
10 Gonzalez-Vega, Laureano
10 Jodrá, Pedro
10 Winkler, Joab R.
9 Mourrain, Bernard
9 Sendra, Juan Rafael
9 Sendra, Juana
8 Chan, Eunice Y. S.
8 Lemonte, Artur José
8 Nadarajah, Saralees
8 Pérez-Díaz, Sonia
8 Simos, Theodore E.
7 Apartsin, Anatoliĭ Solomonovich
7 Dopico, Froilán M.
7 Gemignani, Luca
7 Good, Chris
7 Mickens, Ronald Elbert
7 Noferini, Vanni
7 Pan, Victor Yakovlevich
7 Pérez, Javier J.
7 Roanes-Lozano, Eugenio
7 Sheykhi, Ahmad
7 Xiao, Yanni
7 Zhi, Lihong
6 Anastassi, Zacharias A.
6 Cheke, Robert A.
6 Jordan, Pedro M.
6 Lawrence, Piers W.
6 Lee, Keonhee
6 Mitchell, Joel
6 Pilyugin, Sergei Yu.
6 Stehlík, Milan
6 Yüzbaşı, Şuayip
6 Zhao, Jichao
5 Alizadeh, Morad
5 Asmussen, Søren
5 Burachik, Regina Sandra
5 Castellares, Fredy
5 Chen, Lansun
5 de Terán, Fernando
5 Feng, Yong
5 Galligo, André
5 Hendi, Seyed Hossein
5 Higham, Nicholas J.
5 Lee, Manseob
5 Mackey, D. Steven
5 Meddaugh, Jonathan
5 Mitrouli, Marilena
5 Roanes-Macías, Eugenio
5 Robol, Leonardo
5 Salas, Jesús
5 Sezer, Mehmet
5 Stamatiou, Yannis C.
5 Van Barel, Marc
5 Van Dooren, Paul M.
5 Vlachos, D. S.
4 Amiraslani, Amirhossein
4 Belkić, Dževad
4 Berriochoa, Elías
4 Bourne, Martin
4 Boyd, John Philip
4 Cachafeiro, Alicia
4 Cancho, Vicente Garibay
4 Díaz-Toca, Gema María
4 Dominici, Diego Ernesto
4 Emiris, Ioannis Z.
4 González-Santander, Juan Luis
4 Gugat, Martin
4 Hu, Wenyu
4 Hwang, Hsien-Kuei
4 Ilie, Silvana
4 Jiménez-Gamero, María Dolores
4 Karcanias, Nicos
4 Kaya, C. Yalçin
4 Mazur, Marcin
4 Nie, Jiawang
4 Pakes, Anthony G.
4 Ramos, Rubens Viana
4 Sekigawa, Hiroshi
4 Shen, Liyong
4 Szántó, Ágnes
4 Tisseur, Françoise
4 van Leeuwaarden, Johan S. H.
4 Wu, Wenyuan
4 Zhang, Jingzhong
3 Adell, José Antonio
3 Aruliah, D. A.
3 Baddeley, Adrian John
3 Barbero G, J. Fernando
3 Beardon, Alan Frank
3 Brown, Jason Ira
3 Cen, Zhongdi
3 Chakraborty, Subrata
3 Chen, Yufu
3 Cheng, Jinsan
3 Chèze, Guillaume
...and 2,228 more Authors
all top 5

Cited in 450 Serials

45 Applied Mathematics and Computation
44 Journal of Computational and Applied Mathematics
41 Journal of Symbolic Computation
32 Theoretical Computer Science
30 Linear Algebra and its Applications
24 Journal of Mathematical Analysis and Applications
23 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
23 Journal of Mathematical Chemistry
18 Numerical Algorithms
17 Communications in Statistics. Theory and Methods
16 Journal of Mathematical Physics
15 Chaos, Solitons and Fractals
14 General Relativity and Gravitation
14 SIAM Journal on Matrix Analysis and Applications
14 Journal of Theoretical Biology
13 Journal of Fluid Mechanics
13 Mathematics and Computers in Simulation
12 Journal of Statistical Computation and Simulation
11 Computers & Mathematics with Applications
11 Bulletin of Mathematical Biology
11 Automatica
10 Journal of Computational Physics
9 Journal of Statistical Physics
9 Mathematical Biosciences
9 Mathematics of Computation
9 Statistics & Probability Letters
9 Computer Aided Geometric Design
9 Applied Numerical Mathematics
9 Applied Mathematical Modelling
9 Journal of Statistical Mechanics: Theory and Experiment
9 Mathematics in Computer Science
8 Advances in Applied Mathematics
8 Communications in Nonlinear Science and Numerical Simulation
8 Dynamical Systems
8 Advances in High Energy Physics
7 Journal of Mathematical Biology
7 Nuclear Physics. B
7 Physica A
7 Journal of Differential Equations
7 Automation and Remote Control
7 Communications in Statistics. Simulation and Computation
7 Integral Transforms and Special Functions
7 The Ramanujan Journal
7 Journal of Applied Mathematics
6 Journal of Statistical Planning and Inference
6 The Annals of Applied Probability
6 European Journal of Operational Research
6 Journal of Mathematical Imaging and Vision
6 Mathematical Problems in Engineering
6 Journal of Inequalities and Applications
6 Journal of High Energy Physics
6 Foundations of Computational Mathematics
5 American Mathematical Monthly
5 Journal of the Franklin Institute
5 BIT
5 Journal of Approximation Theory
5 Journal of Optimization Theory and Applications
5 Theoretical Population Biology
5 Physica D
5 Applied Mathematics Letters
5 Mathematical and Computer Modelling
5 SIAM Journal on Scientific Computing
5 The Electronic Journal of Combinatorics
5 Discrete and Continuous Dynamical Systems
5 Journal of Applied Statistics
5 Advances in Difference Equations
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
4 Advances in Applied Probability
4 Computers and Fluids
4 Discrete Mathematics
4 Physics Letters. A
4 Mathematics of Operations Research
4 Mechanics Research Communications
4 Operations Research
4 Proceedings of the American Mathematical Society
4 Transactions of the American Mathematical Society
4 Topology and its Applications
4 Insurance Mathematics & Economics
4 Queueing Systems
4 Journal of Scientific Computing
4 International Journal of Computer Mathematics
4 SIAM Review
4 Applicable Algebra in Engineering, Communication and Computing
4 Combinatorics, Probability and Computing
4 Computational and Applied Mathematics
4 Advances in Computational Mathematics
4 Bernoulli
4 ELA. The Electronic Journal of Linear Algebra
4 Chaos
4 Discrete Dynamics in Nature and Society
4 Journal of Systems Science and Complexity
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Mathematical Modelling of Natural Phenomena
3 Modern Physics Letters A
3 International Journal of Modern Physics A
3 Acta Mechanica
3 Bulletin of the Australian Mathematical Society
3 Communications in Mathematical Physics
3 Discrete Applied Mathematics
3 International Journal of Engineering Science
...and 350 more Serials
all top 5

Cited in 61 Fields

403 Numerical analysis (65-XX)
172 Ordinary differential equations (34-XX)
167 Probability theory and stochastic processes (60-XX)
140 Statistics (62-XX)
139 Biology and other natural sciences (92-XX)
135 Computer science (68-XX)
119 Dynamical systems and ergodic theory (37-XX)
99 Partial differential equations (35-XX)
89 Linear and multilinear algebra; matrix theory (15-XX)
83 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
79 Special functions (33-XX)
68 Number theory (11-XX)
65 Quantum theory (81-XX)
63 Combinatorics (05-XX)
63 Systems theory; control (93-XX)
62 Operations research, mathematical programming (90-XX)
58 Fluid mechanics (76-XX)
55 Algebraic geometry (14-XX)
52 Approximations and expansions (41-XX)
48 Statistical mechanics, structure of matter (82-XX)
47 Commutative algebra (13-XX)
45 Functions of a complex variable (30-XX)
41 Integral equations (45-XX)
38 Relativity and gravitational theory (83-XX)
34 Field theory and polynomials (12-XX)
33 Real functions (26-XX)
31 Information and communication theory, circuits (94-XX)
26 Calculus of variations and optimal control; optimization (49-XX)
26 Mechanics of deformable solids (74-XX)
20 Classical thermodynamics, heat transfer (80-XX)
19 Optics, electromagnetic theory (78-XX)
18 Functional analysis (46-XX)
18 Operator theory (47-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
15 Mechanics of particles and systems (70-XX)
14 Differential geometry (53-XX)
14 General topology (54-XX)
13 Difference and functional equations (39-XX)
10 Sequences, series, summability (40-XX)
9 Integral transforms, operational calculus (44-XX)
6 General and overarching topics; collections (00-XX)
6 History and biography (01-XX)
6 Associative rings and algebras (16-XX)
6 Measure and integration (28-XX)
6 Geophysics (86-XX)
6 Mathematics education (97-XX)
5 Mathematical logic and foundations (03-XX)
5 Astronomy and astrophysics (85-XX)
4 Nonassociative rings and algebras (17-XX)
4 Group theory and generalizations (20-XX)
4 Topological groups, Lie groups (22-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Manifolds and cell complexes (57-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Potential theory (31-XX)
2 Geometry (51-XX)
2 Convex and discrete geometry (52-XX)
2 Algebraic topology (55-XX)
1 Category theory; homological algebra (18-XX)
1 Abstract harmonic analysis (43-XX)

Citations by Year