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Corless, Robert Malcolm

Author ID: corless.robert-m Recent zbMATH articles by "Corless, Robert Malcolm"
Published as: Corless, Robert M.; Corless, R. M.; Corless, Robert; Corless, R.
Homepage: http://www.apmaths.uwo.ca/~rcorless/
External Links: MGP · Google Scholar · dblp · GND
all top 5

Co-Authors

24 single-authored
28 Jeffrey, David J.
11 Sevyeri, Leili Rafiee
10 Chan, Eunice Y. S.
8 Gonzalez-Vega, Laureano
7 Watt, Stephen Michael
6 Lawrence, Piers W.
6 Shakoori, Azar
5 Amiraslani, Amirhossein
5 Kotsireas, Ilias S.
5 Zhao, Jichao
4 Aruliah, D. A.
4 Borwein, Jonathan Michael
4 Fillion, Nicolas
4 Giesbrecht, Mark W.
4 Hare, David E. G.
4 Ilie, Silvana
4 Moir, Robert H. C.
4 Moreno Maza, Marc
4 Thornton, Steven E.
3 Borwein, Peter Benjamin
3 Davenport, James Harold
3 Kalugin, German A.
3 Knuth, Donald Ervin
3 Rezvani, Nargol
3 Sendra, Juan Rafael
3 Sendra, Juana
3 Stoutemyer, David R.
2 Benghorbal, Mhenni M.
2 Brimacombe, Chris
2 Corliss, George F.
2 Davison, Matt
2 Díaz-Toca, Gema María
2 Gianni, Patrizia M.
2 Jörgenson, Loki
2 Pilyugin, Sergeĭ Yur’evich
2 Postma, Erik
2 Saunders, B. David
2 Trager, Barry M.
2 Yu, Pei
2 Zamir, Mair
2 Zhang, Yiming
1 ALKafri, Heba Q.
1 Assefa, Dawit
1 Bradford, Russell J.
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 Labahn, George
1 Lancaster, Peter
1 Lauterbach, Reiner
1 Li, Ao
1 Linder, David
1 Litt, Gurjeet
1 Monagan, Michael B.
1 Monroe, J. Graham
1 Necula, Ioana
1 Piponi, Dan
1 Pratibha
1 Reid, Greg J.
1 Rokicki, Jacek
1 Rúa, Ignacio Fernández
1 Shampine, Lawrence Fred
1 Sinclair, Nathalie
1 Söderlind, Gustaf
1 van Hoeij, Mark
1 Wu, Wenyuan
1 Xie, Ning
1 Yang, Wenqiang
1 Ye, Honglin
1 Zhang, Tie
1 Zhi, Lihong
all top 5

Serials

7 Numerical Algorithms
7 SIAM Review
7 ACM Communications in Computer Algebra
5 American Mathematical Monthly
5 Journal of Symbolic Computation
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

96 Publications have been cited 1,982 times in 1,641 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.
1996
The singular value decomposition for polynomial systems. Zbl 0920.65034
Corless, Robert M.; Gianni, Patrizia M.; Trager, Barry M.; Watt, Stephen M.
61
1995
Approximate and real trajectories for generic dynamical systems. Zbl 0821.58036
Corless, Robert M.; Pilyugin, S. Yu.
52
1995
Linearization of matrix polynomials expressed in polynomial bases. Zbl 1158.15022
Amiraslani, A.; Corless, R. M.; Lancaster, P.
52
2009
A sequence of series for the Lambert \(W\) function. Zbl 0916.65015
Corless, Robert M.; Jeffrey, David J.; Knuth, Donald E.
43
1997
Compact finite difference method for American option pricing. Zbl 1151.91552
Zhao, Jichao; Davison, Matt; Corless, Robert M.
38
2007
A graduate introduction to numerical methods. From the viewpoint of backward error analysis. Zbl 1295.65001
Corless, Robert M.; Fillion, Nicolas
38
2013
\(QR\) factoring to compute the GCD of univariate approximate polynomials. Zbl 1372.65120
Corless, Robert M.; Watt, Stephen M.; Zhi, Lihong
35
2004
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.
31
1997
Compact finite difference method for integro-differential equations. Zbl 1102.65144
Zhao, Jichao; Corless, Robert M.
29
2006
Unwinding the branches of the Lambert \(W\) function. Zbl 0852.33001
Jeffrey, D. J.; Hare, D. E. G.; Corless, Robert M.
27
1996
Symbolic computation of limit cycles associated with Hilbert’s 16th problem. Zbl 1221.34082
Yu, P.; Corless, R.
25
2009
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 1331.65180
Zhao, Jichao; Corless, Robert M.
21
2006
Towards factoring bivariate approximate polynomials. Zbl 1356.13030
Corless, Robert M.; Giesbrecht, Mark W.; van Hoeij, Mark; Kotsireas, Ilias S.; Watt, Stephen M.
20
2001
Optimization strategies for the approximate GCD problem. Zbl 0922.65011
Chin, Paulina; Corless, Robert M.; Corliss, George F.
16
1998
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
16
2013
Emerging tools for experimental mathematics. Zbl 0980.68146
Borwein, Jonathan M.; Corless, Robert M.
15
1999
What good are numerical simulations of chaotic dynamical systems? Zbl 0813.65101
Corless, R. M.
15
1994
Continued fractions and chaos. Zbl 0758.58020
Corless, R. M.
14
1992
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
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
Stability of rootfinding for barycentric Lagrange interpolants. Zbl 1297.65051
Lawrence, Piers W.; Corless, Robert M.
12
2014
Stress moments of nearly touching spheres in low Reynolds number flow. Zbl 0663.76022
Corless, R. M.; Jeffrey, D. J.
11
1988
Solving some delay differential equations with computer algebra. Zbl 1115.34074
Heffernan, Jane M.; Corless, Robert M.
11
2006
The nearest polynomial with a given zero, revisited. Zbl 1341.12002
Rezvani, Nargol; Corless, Robert M.
11
2005
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.
11
2012
On a generalized companion matrix pencil for matrix polynomials expressed in the Lagrange basis. Zbl 1117.65051
Corless, Robert M.
10
2007
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.
10
1995
Initial value problems for ODEs in problem solving environments. Zbl 0971.65062
Shampine, L. F.; Corless, Robert M.
10
2000
The Wright \(\omega\) function. Zbl 1072.68568
Corless, Robert M.; Jeffrey, D. J.
10
2002
Essential Maple. A guide for scientific programmers. Zbl 0813.68069
Corless, Robert M.
10
1995
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.
9
2002
Error backward. Zbl 0809.65090
Corless, Robert M.
9
1994
Gamma and factorial in the Monthly. Zbl 1392.33001
Borwein, Jonathan M.; Corless, Robert M.
9
2018
Bernstein, Pick, Poisson and related integral expressions for Lambert \(W\). Zbl 1255.30039
Kalugin, German A.; Jeffrey, David J.; Corless, Robert M.
8
2012
Pseudospectra of matrix polynomials that are expressed in alternative bases. Zbl 1136.15012
Corless, Robert M.; Rezvani, Nargol; Amiraslani, Amirhossein
7
2007
Polynomial algebra for Birkhoff interpolants. Zbl 1218.41002
Butcher, John C.; Corless, Robert M.; Gonzalez-Vega, Laureano; Shakoori, Azar
7
2011
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
Chaos and continued fractions. Zbl 0723.58037
Corless, R. M.; Frank, G. W.; Monroe, J. Graham
7
1990
Adaptivity and computational complexity in the numerical solution of ODEs. Zbl 1145.65046
Ilie, Silvana; Söderlind, Gustaf; Corless, Robert M.
7
2008
Rationale for guaranteed ODE defect control. Zbl 0838.65085
Corless, Robert M.; Corliss, George F.
6
1992
Backward error of polynomial eigenvalue problems solved by linearization of Lagrange interpolants. Zbl 1327.65073
Lawrence, Piers W.; Corless, Robert M.
6
2015
The Bohemian eigenvalue project. Zbl 1365.68485
Corless, Robert M.; Thornton, Steven E.
6
2016
Numerical stability of barycentric Hermite root-finding. Zbl 1345.65031
Lawrence, Piers W.; Corless, Robert M.
6
2011
Upper Hessenberg and Toeplitz Bohemians. Zbl 1508.15020
Chan, Eunice Y. S.; Corless, Robert M.; Gonzalez-Vega, Laureano; Sendra, J. Rafael; Sendra, Juana; Thornton, Steven E.
6
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
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
A new view of the computational complexity of IVP for ODE. Zbl 1020.65037
Corless, Robert M.
5
2002
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
Algorithm 917: Complex double-precision evaluation of the Wright \({\omega}\) function. Zbl 1365.65049
Lawrence, Piers W.; Corless, Robert M.; Jeffrey, David J.
5
2012
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
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
On the epistemological analysis of modeling and computational error in the mathematical sciences. Zbl 1302.00053
Fillion, Nicolas; Corless, Robert M.
4
2014
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.
4
2008
Differentiation matrices for univariate polynomials. Zbl 1431.65020
Amiraslani, Amirhossein; Corless, Robert M.; Gunasingam, Madhusoodan
4
2020
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
Optimal residuals and the Dahlquist test problem. Zbl 1480.65160
Corless, Robert M.; Kaya, C. Yalçın; Moir, Robert H. C.
4
2019
An experimental interval arithmetic package in Maple. Zbl 0829.65149
Connell, Amanda E.; Corless, Robert M.
3
1993
Numerical parameterization of affine varieties using ODEs. Zbl 1088.68184
Aruliah, D. A.; Corless, Robert M.
3
2004
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
Computation and applications of Mathieu functions: a historical perspective. Zbl 1479.33014
Brimacombe, Chris; Corless, Robert M.; Zamir, Mair
3
2021
The largest roots of the Mandelbrot polynomials. Zbl 1280.37040
Corless, Robert M.; Lawrence, Piers W.
3
2013
The Runge example for interpolation and Wilkinson’s examples for rootfinding. Zbl 1485.65014
Corless, Robert M.; Sevyeri, Leili Rafiee
3
2020
Bifurcation in a flow-induced vibration model. Zbl 0830.34041
Corless, Robert M.
2
1995
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
Using symmetries in the eigenvalue method for polynomial systems. Zbl 1174.14053
Corless, Robert M.; Gatermann, Karin; Kotsireas, Ilias S.
2
2009
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
An elementary solution of a minimax problem arising in algorithms for automatic mesh selection. Zbl 1054.65084
Corless, Robert M.
2
2000
Power series solutions of fractional differential equations. Zbl 1105.34035
Benghorbal, Mhenni M.; Corless, Robert M.
2
2004
Solution of a hydrodynamic lubrication problem with Maple. Zbl 0693.76044
Corless, R. M.; Jeffrey, D. J.
2
1990
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
Jordan canonical form with parameters from Frobenius form with parameters. Zbl 1504.65109
Corless, Robert M.; Moreno Maza, Marc; Thornton, Steven E.
2
2017
Approximate GCD in Bernstein basis. Zbl 07640859
Corless, Robert M.; Sevyeri, Leili Rafiee
2
2019
Minimal height companion matrices for Euclid polynomials. Zbl 1474.11069
Chan, E. Y. S.; Corless, R. M.
2
2019
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
Evaluation of upper Lyapunov exponents on hyperbolic sets. Zbl 0821.58028
Corless, Robert M.; Pilyugin, S. Yu.
1
1995
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
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
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
Comprehensive \(LU\) factors of polynomial matrices. Zbl 07441062
Couto, Ana C. Camargos; Maza, Marc Moreno; Linder, David; Jeffrey, David J.; Corless, Robert M.
1
2020
Backward error analysis for perturbation methods. Zbl 1450.65075
Corless, Robert M.; Fillion, Nicolas
1
2019
A random walk through experimental mathematics. Zbl 1437.97001
Chan, Eunice Y. S.; Corless, Robert M.
1
2020
Using weighted norms to find nearest polynomials satisfying linear constraints. Zbl 1346.68300
Rezvani, Nargol; Corless, Robert M.
1
2011
On parametric linear system solving. Zbl 07635830
Corless, Robert M.; Giesbrecht, Mark; Rafiee Sevyeri, Leili; Saunders, B. David
1
2020
Symbolic-numeric integration of rational functions. Zbl 07191896
Moir, Robert H. C.; Corless, Robert M.; Maza, Marc Moreno; Xie, Ning
1
2020
Revisiting Gilbert Strang’s “A chaotic search for \(i\)”. Zbl 07659265
Li, Ao; Corless, Robert M.
1
2019
Computation and applications of Mathieu functions: a historical perspective. Zbl 1479.33014
Brimacombe, Chris; Corless, Robert M.; Zamir, Mair
3
2021
Upper Hessenberg and Toeplitz Bohemians. Zbl 1508.15020
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
4
2020
The Runge example for interpolation and Wilkinson’s examples for rootfinding. Zbl 1485.65014
Corless, Robert M.; Sevyeri, Leili Rafiee
3
2020
Comprehensive \(LU\) factors of polynomial matrices. Zbl 07441062
Couto, Ana C. Camargos; Maza, Marc Moreno; Linder, David; Jeffrey, David J.; Corless, Robert M.
1
2020
A random walk through experimental mathematics. Zbl 1437.97001
Chan, Eunice Y. S.; Corless, Robert M.
1
2020
On parametric linear system solving. Zbl 07635830
Corless, Robert M.; Giesbrecht, Mark; Rafiee Sevyeri, Leili; Saunders, B. David
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.
4
2019
Approximate GCD in Bernstein basis. Zbl 07640859
Corless, Robert M.; Sevyeri, Leili Rafiee
2
2019
Minimal height companion matrices for Euclid polynomials. Zbl 1474.11069
Chan, E. Y. S.; Corless, R. M.
2
2019
Backward error analysis for perturbation methods. Zbl 1450.65075
Corless, Robert M.; Fillion, Nicolas
1
2019
Revisiting Gilbert Strang’s “A chaotic search for \(i\)”. Zbl 07659265
Li, Ao; Corless, Robert M.
1
2019
Gamma and factorial in the Monthly. Zbl 1392.33001
Borwein, Jonathan M.; Corless, Robert M.
9
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 1504.65109
Corless, Robert M.; Moreno Maza, Marc; Thornton, Steven E.
2
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.
12
2014
On the epistemological analysis of modeling and computational error in the mathematical sciences. Zbl 1302.00053
Fillion, Nicolas; Corless, Robert M.
4
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
38
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
16
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.
3
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.
11
2012
Bernstein, Pick, Poisson and related integral expressions for Lambert \(W\). Zbl 1255.30039
Kalugin, German A.; Jeffrey, David J.; Corless, Robert M.
8
2012
Algorithm 917: Complex double-precision evaluation of the Wright \({\omega}\) function. Zbl 1365.65049
Lawrence, Piers W.; Corless, Robert M.; Jeffrey, David J.
5
2012
Polynomial algebra for Birkhoff interpolants. Zbl 1218.41002
Butcher, John C.; Corless, Robert M.; Gonzalez-Vega, Laureano; Shakoori, Azar
7
2011
Numerical stability of barycentric Hermite root-finding. Zbl 1345.65031
Lawrence, Piers W.; Corless, Robert M.
6
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.
52
2009
Symbolic computation of limit cycles associated with Hilbert’s 16th problem. Zbl 1221.34082
Yu, P.; Corless, R.
25
2009
Using symmetries in the eigenvalue method for polynomial systems. Zbl 1174.14053
Corless, Robert M.; Gatermann, Karin; Kotsireas, Ilias S.
2
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.
7
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.
4
2008
Compact finite difference method for American option pricing. Zbl 1151.91552
Zhao, Jichao; Davison, Matt; Corless, Robert M.
38
2007
On a generalized companion matrix pencil for matrix polynomials expressed in the Lagrange basis. Zbl 1117.65051
Corless, Robert M.
10
2007
Pseudospectra of matrix polynomials that are expressed in alternative bases. Zbl 1136.15012
Corless, Robert M.; Rezvani, Nargol; Amiraslani, Amirhossein
7
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
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.
29
2006
Compact finite difference method for integro-differential equations. Zbl 1331.65180
Zhao, Jichao; Corless, Robert M.
21
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.
11
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.
11
2005
\(QR\) factoring to compute the GCD of univariate approximate polynomials. Zbl 1372.65120
Corless, Robert M.; Watt, Stephen M.; Zhi, Lihong
35
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
The Wright \(\omega\) function. Zbl 1072.68568
Corless, Robert M.; Jeffrey, D. J.
10
2002
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.
9
2002
A new view of the computational complexity of IVP for ODE. Zbl 1020.65037
Corless, Robert M.
5
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
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.
20
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.
15
1999
Optimization strategies for the approximate GCD problem. Zbl 0922.65011
Chin, Paulina; Corless, Robert M.; Corliss, George F.
16
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.
43
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.
31
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.
1996
Unwinding the branches of the Lambert \(W\) function. Zbl 0852.33001
Jeffrey, D. J.; Hare, D. E. G.; Corless, Robert M.
27
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.
61
1995
Approximate and real trajectories for generic dynamical systems. Zbl 0821.58036
Corless, Robert M.; Pilyugin, S. Yu.
52
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.
10
1995
Essential Maple. A guide for scientific programmers. Zbl 0813.68069
Corless, Robert M.
10
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.
15
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
Continued fractions and chaos. Zbl 0758.58020
Corless, R. M.
14
1992
Defect-controlled numerical methods and shadowing for chaotic differential equations. Zbl 0779.34035
Corless, Robert M.
13
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
7
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 2,729 Authors

48 Corless, Robert Malcolm
16 Jeffrey, David J.
14 Yu, Pei
13 Tang, Sanyi
12 Jodrá, Pedro
12 Winkler, Joab R.
11 Lemonte, Artur José
11 Mező, István
10 Gonzalez-Vega, Laureano
9 Chan, Eunice Y. S.
9 Mourrain, Bernard
9 Sendra, Juan Rafael
9 Sendra, Juana
8 Gemignani, Luca
8 Nadarajah, Saralees
8 Pérez-Díaz, Sonia
8 Roanes-Lozano, Eugenio
8 Simos, Theodore E.
7 Apartsin, Anatoliĭ Solomonovich
7 Dopico, Froilán M.
7 Good, Chris
7 Lawrence, Piers W.
7 Lee, Manseob
7 Mickens, Ronald Elbert
7 Noferini, Vanni
7 Pan, Victor Yakovlevich
7 Pérez, Javier J.
7 Sheykhi, Ahmad
7 Xiao, Yanni
7 Zhi, Lihong
6 Anastassi, Zacharias A.
6 Cheke, Robert A.
6 González-Santander, Juan Luis
6 Hendi, Seyed Hossein
6 Jordan, Pedro M.
6 Lawley, Sean D.
6 Lee, Keonhee
6 Meddaugh, Jonathan
6 Mitchell, Joel
6 Mitrouli, Marilena
6 Pilyugin, Sergeĭ Yur’evich
6 Salas, Jesús
6 Sokal, Alan D.
6 Stehlík, Milan
6 Yüzbaşı, Şuayip
6 Zhao, Jichao
5 Alizadeh, Morad
5 Asmussen, Søren
5 Berriochoa, Elías
5 Bourne, Martin
5 Burachik, Regina Sandra
5 Cachafeiro, Alicia
5 Cancho, Vicente Garibay
5 Castellares, Fredy
5 Chen, Lansun
5 de Terán, Fernando
5 Feng, Yong
5 Galligo, André
5 Higham, Nicholas J.
5 Huang, Wentao
5 Hwang, Hsien-Kuei
5 Karcanias, Nicos
5 Mackey, D. Steven
5 Nie, Jiawang
5 Ramos, Rubens Viana
5 Roanes-Macías, Eugenio
5 Robol, Leonardo
5 Sekigawa, Hiroshi
5 Sezer, Mehmet
5 Stamatiou, Yannis C.
5 Van Barel, Marc
5 Van Dooren, Paul M.
5 van Leeuwaarden, Johan S. H.
5 Vlachos, Dimitrios
4 Amiraslani, Amirhossein
4 Belkić, Dževad
4 Boyd, John Philip
4 Chakraborty, Subrata
4 Christou, Dimitrios
4 Cordeiro, Gauss Moutinho
4 Díaz-Toca, Gema María
4 Dominici, Diego Ernesto
4 Emiris, Ioannis Z.
4 González-Parra, Gilberto C.
4 Gugat, Martin
4 Hu, Wenyu
4 Ilie, Silvana
4 Janssen, Augustus Josephus Elizabeth Maria
4 Jiménez-Gamero, María Dolores
4 Kaya, C. Yalçin
4 Kerr, Gilbert
4 Li, Feng
4 Llibre, Jaume
4 Mazur, Marcin
4 Nagasaka, Kosaku
4 Ortega, Edwin Moises Marcos
4 Pakes, Anthony G.
4 Pinelis, Iosif Froimovich
4 Sevyeri, Leili Rafiee
4 Shakoori, Azar
...and 2,629 more Authors
all top 5

Cited in 490 Serials

49 Journal of Computational and Applied Mathematics
47 Applied Mathematics and Computation
41 Journal of Symbolic Computation
32 Theoretical Computer Science
31 Linear Algebra and its Applications
25 Journal of Mathematical Analysis and Applications
24 Journal of Mathematical Chemistry
23 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
19 Numerical Algorithms
18 Chaos, Solitons and Fractals
17 Journal of Fluid Mechanics
17 Journal of Mathematical Physics
17 Communications in Statistics. Theory and Methods
15 SIAM Journal on Matrix Analysis and Applications
15 Journal of Theoretical Biology
14 General Relativity and Gravitation
14 Mathematics and Computers in Simulation
14 Journal of High Energy Physics
13 Applied Mathematical Modelling
12 Journal of Computational Physics
12 Journal of Statistical Computation and Simulation
12 Journal of Physics A: Mathematical and Theoretical
11 Computers & Mathematics with Applications
11 Bulletin of Mathematical Biology
11 Automatica
11 Applied Numerical Mathematics
10 Journal of Statistical Physics
10 Mathematics of Computation
10 Communications in Nonlinear Science and Numerical Simulation
10 Journal of Statistical Mechanics: Theory and Experiment
10 Mathematics in Computer Science
9 Journal of Mathematical Biology
9 Mathematical Biosciences
9 Statistics & Probability Letters
9 Computer Aided Geometric Design
9 Dynamical Systems
8 Journal of the Franklin Institute
8 Journal of Differential Equations
8 Advances in Applied Mathematics
8 Communications in Statistics. Simulation and Computation
8 The Ramanujan Journal
8 Advances in High Energy Physics
7 Nuclear Physics. B
7 Physica A
7 Automation and Remote Control
7 Integral Transforms and Special Functions
7 Mathematical Problems in Engineering
7 Foundations of Computational Mathematics
7 Journal of Applied Mathematics
6 Journal of Engineering Mathematics
6 Journal of Optimization Theory and Applications
6 Journal of Statistical Planning and Inference
6 Theoretical Population Biology
6 Physica D
6 The Annals of Applied Probability
6 European Journal of Operational Research
6 SIAM Journal on Applied Mathematics
6 SIAM Review
6 Journal of Mathematical Imaging and Vision
6 SIAM Journal on Scientific Computing
6 The Electronic Journal of Combinatorics
6 Journal of Inequalities and Applications
5 American Mathematical Monthly
5 Discrete Mathematics
5 Nonlinearity
5 Physics Letters. A
5 BIT
5 Journal of Approximation Theory
5 Applied Mathematics Letters
5 Mathematical and Computer Modelling
5 Annals of Physics
5 Computational and Applied Mathematics
5 Discrete and Continuous Dynamical Systems
5 Nonlinear Dynamics
5 Journal of Applied Statistics
5 Lobachevskii Journal of Mathematics
5 Brazilian Journal of Probability and 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 Communications in Mathematical Physics
4 Mathematical Methods in the Applied Sciences
4 Theoretical and Mathematical Physics
4 Calcolo
4 Journal of Multivariate Analysis
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 Stochastic Processes and their Applications
4 Applicable Algebra in Engineering, Communication and Computing
4 Combinatorics, Probability and Computing
4 ETNA. Electronic Transactions on Numerical Analysis
...and 390 more Serials
all top 5

Cited in 61 Fields

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

Citations by Year