Edit Profile (opens in new tab) Corless, Robert Malcolm Co-Author Distance Author ID: corless.robert-m Published as: Corless, Robert M.; Corless, R. M.; Corless, Robert; Corless, R. more...less Homepage: http://www.apmaths.uwo.ca/~rcorless/ External Links: MGP · Google Scholar · dblp · GND Documents Indexed: 141 Publications since 1988, including 3 Books and 10 Additional arXiv Preprints 2 Contributions as Editor Reviewing Activity: 6 Reviews Co-Authors: 89 Co-Authors with 119 Joint Publications 2,244 Co-Co-Authors 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 all top 5 Fields 79 Numerical analysis (65-XX) 51 Computer science (68-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 13 Special functions (33-XX) 13 Ordinary differential equations (34-XX) 13 Dynamical systems and ergodic theory (37-XX) 11 Field theory and polynomials (12-XX) 11 Functions of a complex variable (30-XX) 9 General and overarching topics; collections (00-XX) 9 Real functions (26-XX) 7 Fluid mechanics (76-XX) 6 Number theory (11-XX) 6 Approximations and expansions (41-XX) 5 History and biography (01-XX) 5 Commutative algebra (13-XX) 4 Partial differential equations (35-XX) 3 Algebraic geometry (14-XX) 3 Integral equations (45-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications 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. 1,034 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. 1,034 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 cited Publications top 5 cited Publications 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. 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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