Edit Profile (opens in new tab) Corless, Robert Malcolm Compute Distance To: Compute Author ID: corless.robert-m Published as: Corless, Robert M.; Corless, R. M.; Corless, R.; Corless, Robert more...less Homepage: http://www.apmaths.uwo.ca/~rcorless/ External Links: MGP · Google Scholar · dblp · GND Documents Indexed: 126 Publications since 1988, including 3 Books 2 Contributions as Editor Reviewing Activity: 6 Reviews Co-Authors: 86 Co-Authors with 108 Joint Publications 2,348 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 Sevyeri, Leili Rafiee 7 Watt, Stephen Michael 6 Lawrence, Piers W. 5 Amiraslani, Amirhossein 5 Kotsireas, Ilias S. 5 Shakoori, Azar 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 Moreno Maza, Marc 4 Thornton, Steven E. 3 Borwein, Peter Benjamin 3 Davenport, James Harold 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, Sergeĭ Yur’evich 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 Saunders, B. David 1 Shampine, Lawrence Fred 1 Sinclair, Nathalie 1 Söderlind, Gustaf 1 van Hoeij, Mark 1 Wang, Fei 1 Xie, Ning 1 Ye, Honglin 1 Zamir, Mair 1 Zhang, Tie 1 Zhi, Lihong all top 5 Serials 7 Numerical Algorithms 6 ACM Communications in Computer Algebra 5 American Mathematical Monthly 5 Journal of Symbolic Computation 5 SIAM Review 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 76 Numerical analysis (65-XX) 46 Computer science (68-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 13 Ordinary differential equations (34-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Special functions (33-XX) 11 Field theory and polynomials (12-XX) 11 Functions of a complex variable (30-XX) 9 Real functions (26-XX) 8 General and overarching topics; collections (00-XX) 7 Fluid mechanics (76-XX) 6 Number theory (11-XX) 6 Approximations and expansions (41-XX) 5 Commutative algebra (13-XX) 4 History and biography (01-XX) 3 Algebraic geometry (14-XX) 3 Integral equations (45-XX) 2 Mathematical logic and foundations (03-XX) 2 Partial differential equations (35-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 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-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 90 Publications have been cited 1,725 times in 1,425 Documents Cited by ▼ Year ▼ On the Lambert \(w\) function. Zbl 0863.65008Corless, R. M.; Gonnet, G. H.; Hare, D. E. G.; Jeffrey, D. J.; Knuth, D. E. 883 1996 The singular value decomposition for polynomial systems. Zbl 0920.65034Corless, Robert M.; Gianni, Patrizia M.; Trager, Barry M.; Watt, Stephen M. 55 1995 Linearization of matrix polynomials expressed in polynomial bases. Zbl 1158.15022Amiraslani, A.; Corless, R. M.; Lancaster, P. 50 2009 Approximate and real trajectories for generic dynamical systems. Zbl 0821.58036Corless, Robert M.; Pilyugin, S. Yu. 49 1995 A sequence of series for the Lambert \(W\) function. Zbl 0916.65015Corless, Robert M.; Jeffrey, David J.; Knuth, Donald E. 41 1997 Compact finite difference method for American option pricing. Zbl 1151.91552Zhao, Jichao; Davison, Matt; Corless, Robert M. 37 2007 \(QR\) factoring to compute the GCD of univariate approximate polynomials. Zbl 1372.65120Corless, Robert M.; Watt, Stephen M.; Zhi, Lihong 31 2004 A graduate introduction to numerical methods. From the viewpoint of backward error analysis. Zbl 1295.65001Corless, Robert M.; Fillion, Nicolas 31 2013 A reordered Schur factorization method for zero-dimensional polynomial systems with multiple roots. Zbl 0917.65048Corless, Robert M.; Gianni, Patrizia M.; Trager, Barry M. 28 1997 Unwinding the branches of the Lambert \(W\) function. Zbl 0852.33001Jeffrey, D. J.; Hare, D. E. G.; Corless, Robert M. 24 1996 Numerical implicitization of parametric hypersurfaces with linear algebra. Zbl 1042.65020Corless, Robert M.; Giesbrecht, Mark W.; Kotsireas, Ilias S.; Watt, Stephen M. 21 2001 Symbolic computation of limit cycles associated with Hilbert’s 16th problem. Zbl 1221.34082Yu, P.; Corless, R. 21 2009 Compact finite difference method for integro-differential equations. Zbl 1102.65144Zhao, Jichao; Corless, Robert M. 20 2006 Compact finite difference method for integro-differential equations. Zbl 1331.65180Zhao, Jichao; Corless, Robert M. 18 2006 Towards factoring bivariate approximate polynomials. Zbl 1356.13030Corless, Robert M.; Giesbrecht, Mark W.; van Hoeij, Mark; Kotsireas, Ilias S.; Watt, Stephen M. 18 2001 Emerging tools for experimental mathematics. Zbl 0980.68146Borwein, Jonathan M.; Corless, Robert M. 14 1999 What good are numerical simulations of chaotic dynamical systems? Zbl 0813.65101Corless, R. M. 13 1994 Defect-controlled numerical methods and shadowing for chaotic differential equations. Zbl 0779.34035Corless, Robert M. 13 1992 Convergence of the compact finite difference method for second-order elliptic equations. Zbl 1111.65098Zhao, Jichao; Zhang, Tie; Corless, Robert M. 13 2006 Optimization strategies for the approximate GCD problem. Zbl 0922.65011Chin, Paulina; Corless, Robert M.; Corliss, George F. 13 1998 Barycentric Hermite interpolants for event localization in initial-value problems. Zbl 1188.65014Corless, Robert M.; Shakoori, Azar; Aruliah, D. A.; Gonzales-Vega, Laureano 13 2008 Continued fractions and chaos. Zbl 0758.58020Corless, R. M. 12 1992 An application of regular chain theory to the study of limit cycles. Zbl 1277.34033Chen, Changbo; Corless, Robert M.; Maza, Marc Moreno; Yu, Pei; Zhang, Yiming 12 2013 Stress moments of nearly touching spheres in low Reynolds number flow. Zbl 0663.76022Corless, R. M.; Jeffrey, D. J. 11 1988 Stability of rootfinding for barycentric Lagrange interpolants. Zbl 1297.65051Lawrence, Piers W.; Corless, Robert M. 10 2014 Initial value problems for ODEs in problem solving environments. Zbl 0971.65062Shampine, L. F.; Corless, Robert M. 10 2000 The nearest polynomial with a given zero, revisited. Zbl 1341.12002Rezvani, Nargol; Corless, Robert M. 10 2005 Error backward. Zbl 0809.65090Corless, Robert M. 9 1994 Essential Maple. A guide for scientific programmers. Zbl 0813.68069Corless, Robert M. 9 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 0846.05002Jeffrey, David J.; Corless, Robert M.; Hare, David E. G.; Knuth, Donald E. 9 1995 Stieltjes and other integral representations for functions of Lambert W. Zbl 1258.33015Kalugin, 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 1117.65051Corless, Robert M. 9 2007 Essential Maple 7. An introduction for scientific programmers. Zbl 0987.68563Corless, Robert M. 9 2002 Solving some delay differential equations with computer algebra. Zbl 1115.34074Heffernan, Jane M.; Corless, Robert M. 8 2006 The Wright \(\omega\) function. Zbl 1072.68568Corless, Robert M.; Jeffrey, D. J. 8 2002 A geometric-numeric algorithm for absolute factorization of multivariate polynomials. Zbl 1072.68658Corless, Robert M.; Galligo, André; Kotsireas, Ilias S.; Watt, Stephen M. 8 2002 Pseudospectra of matrix polynomials that are expressed in alternative bases. Zbl 1136.15012Corless, 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 1190.34072Corless, Robert M.; Ding, Hui; Higham, Nicholas J.; Jeffrey, David J. 7 2007 Polynomial algebra for Birkhoff interpolants. Zbl 1218.41002Butcher, John C.; Corless, Robert M.; Gonzalez-Vega, Laureano; Shakoori, Azar 6 2011 Upper Hessenberg and Toeplitz Bohemians. Zbl 07207295Chan, Eunice Y. S.; Corless, Robert M.; Gonzalez-Vega, Laureano; Sendra, J. Rafael; Sendra, Juana; Thornton, Steven E. 6 2020 The Bohemian eigenvalue project. Zbl 1365.68485Corless, Robert M.; Thornton, Steven E. 6 2016 Rationale for guaranteed ODE defect control. Zbl 0838.65085Corless, Robert M.; Corliss, George F. 6 1992 Chaos and continued fractions. Zbl 0723.58037Corless, R. M.; Frank, G. W.; Monroe, J. Graham 6 1990 Gamma and factorial in the Monthly. Zbl 1392.33001Borwein, Jonathan M.; Corless, Robert M. 6 2018 Backward error of polynomial eigenvalue problems solved by linearization of Lagrange interpolants. Zbl 1327.65073Lawrence, Piers W.; Corless, Robert M. 6 2015 Bernstein, Pick, Poisson and related integral expressions for Lambert \(W\). Zbl 1255.30039Kalugin, German A.; Jeffrey, David J.; Corless, Robert M. 6 2012 Adaptivity and computational complexity in the numerical solution of ODEs. Zbl 1145.65046Ilie, Silvana; Söderlind, Gustaf; Corless, Robert M. 6 2008 Algebraic linearizations of matrix polynomials. Zbl 1433.15018Chan, Eunice Y. S.; Corless, Robert M.; Gonzalez-Vega, Laureano; Sendra, J. Rafael; Sendra, Juana 6 2019 Numerical solutions of index-1 differential algebraic equations can be computed in polynomial time. Zbl 1095.65081Ilie, Silvana; Corless, Robert M.; Reid, Greg 5 2006 Numerical stability of barycentric Hermite root-finding. Zbl 1345.65031Lawrence, Piers W.; Corless, Robert M. 5 2011 Algorithm 917: Complex double-precision evaluation of the Wright \({\omega}\) function. Zbl 1365.65049Lawrence, Piers W.; Corless, Robert M.; Jeffrey, David J. 5 2012 Reasoning about the elementary functions of complex analysis. Zbl 1007.30001Bradford, 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 1284.91578Zhao, Jichao; Corless, Robert M.; Davison, Matt 5 2007 Block \(\mathbf {LU}\) factors of generalized companion matrix pencils. Zbl 1140.65032Amiraslani, A.; Aruliah, D. A.; Corless, R. M. 5 2007 The symbolic generation of finite-difference formulae. Zbl 0900.65296Corless, Robert M.; Rokicki, Jacek 4 1996 A new view of the computational complexity of IVP for ODE. Zbl 1020.65037Corless, Robert M. 4 2002 Polynomial cost for solving IVP for high-index DAE. Zbl 1141.65066Corless, Robert M.; Ilie, Silvana 4 2008 Computing the topology of a real algebraic plane curve whose defining equations are available only “by values”. Zbl 1285.14065Corless, Robert M.; Diaz-Toca, Gema M.; Fioravanti, Mario; Gonzalez-Vega, Laureano; Rua, Ignacio F.; Shakoori, Azar 4 2013 Numerical evaluation of Airy functions with complex arguments. Zbl 0758.65010Corless, R. M.; Jeffrey, D. J.; Rasmussen, H. 3 1992 On the epistemological analysis of modeling and computational error in the mathematical sciences. Zbl 1302.00053Fillion, Nicolas; Corless, Robert M. 3 2014 An experimental interval arithmetic package in Maple. Zbl 0829.65149Connell, Amanda E.; Corless, Robert M. 3 1993 Numerical parameterization of affine varieties using ODEs. Zbl 1088.68184Aruliah, D. A.; Corless, Robert M. 3 2004 A new kind of companion matrix. Zbl 1375.15012Chan, Eunice Y. S.; Corless, Robert M. 3 2017 Optimal residuals and the Dahlquist test problem. Zbl 1480.65160Corless, Robert M.; Kaya, C. Yalçın; Moir, Robert H. C. 3 2019 Two perturbation calculations in fluid mechanics using large-expression management. Zbl 0872.68074Corless, R. M.; Jeffrey, D. J.; Monagan, M. B.; Pratibha 2 1997 Bifurcation in a flow-induced vibration model. Zbl 0830.34041Corless, Robert M. 2 1995 What is organic mathematics? Zbl 1053.00506Borwein, Jonathan M.; Borwein, Peter B.; Corless, Robert M.; Jörgenson, Loki; Sinclair, Nathalie 2 1997 Differentiation matrices for univariate polynomials. Zbl 1431.65020Amiraslani, Amirhossein; Corless, Robert M.; Gunasingam, Madhusoodan 2 2020 Solution of a hydrodynamic lubrication problem with Maple. Zbl 0693.76044Corless, R. M.; Jeffrey, D. J. 2 1990 Reasoning about the elementary functions of complex analysis. Zbl 1042.68128Corless, 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 1054.65084Corless, Robert M. 2 2000 Power series solutions of fractional differential equations. Zbl 1105.34035Benghorbal, Mhenni M.; Corless, Robert M. 2 2004 Exact rational solutions of a transcendental equation. Zbl 0918.65035Jeffrey, D. J.; Hare, D. E. G.; Corless, R. M. 2 1998 Variations on a theme of Euler. Zbl 06648226Corless, Robert M.; Jankowski, Julia E. 2 2016 Algebraic properties of the Lambert \(W\) function from a result of Rosenlicht and of Liouville. Zbl 1156.33004Bronstein, Manuel; Corless, Robert M.; Davenport, James H.; Jeffrey, D. J. 2 2008 The largest roots of the Mandelbrot polynomials. Zbl 1280.37040Corless, Robert M.; Lawrence, Piers W. 2 2013 Evaluation of upper Lyapunov exponents on hyperbolic sets. Zbl 0821.58028Corless, Robert M.; Pilyugin, S. Yu. 1 1995 Continued fractions and chaos. (Reprint). Zbl 0890.58045Corless, Robert M. 1 1997 A package for parametric matrix computations. Zbl 1434.15002Corless, Robert M.; Thornton, Steven E. 1 2014 High-accuracy series solution for two-dimensional convection in a horizontal concentric cylinder. Zbl 1299.76197Zhang, Yiming; Corless, Robert M. 1 2014 The Runge example for interpolation and Wilkinson’s examples for rootfinding. Zbl 1485.65014Corless, Robert M.; Sevyeri, Leili Rafiee 1 2020 Symbolic-numeric integration of rational functions. Zbl 07191896Moir, Robert H. C.; Corless, Robert M.; Maza, Marc Moreno; Xie, Ning 1 2020 Backward error analysis for perturbation methods. Zbl 1450.65075Corless, Robert M.; Fillion, Nicolas 1 2019 A comparison of three computer algebra systems for the solution of a problem in hydrodynamic lubrication. Zbl 0646.76042Corless, R. M.; Jeffrey, D. J. 1 1988 Minimal height companion matrices for Euclid polynomials. Zbl 1474.11069Chan, E. Y. S.; Corless, R. M. 1 2019 Using weighted norms to find nearest polynomials satisfying linear constraints. Zbl 1346.68300Rezvani, Nargol; Corless, Robert M. 1 2011 Jeffery-Hamel flow with maple: a case study of integration of elliptic functions in a CAS. Zbl 1190.68087Corless, Robert M.; Assefa, Dawit 1 2007 The Bézout matrix for Hermite interpolants. Zbl 1312.15055Aruliah, D. A.; Corless, R. M.; Diaz-Toca, G. M.; Gonzalez-Vega, L.; Shakoori, A. 1 2015 Jordan canonical form with parameters from Frobenius form with parameters. Zbl 07036051Corless, Robert M.; Moreno Maza, Marc; Thornton, Steven E. 1 2017 Using symmetries in the eigenvalue method for polynomial systems. Zbl 1174.14053Corless, Robert M.; Gatermann, Karin; Kotsireas, Ilias S. 1 2009 Upper Hessenberg and Toeplitz Bohemians. Zbl 07207295Chan, 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 1431.65020Amiraslani, Amirhossein; Corless, Robert M.; Gunasingam, Madhusoodan 2 2020 The Runge example for interpolation and Wilkinson’s examples for rootfinding. Zbl 1485.65014Corless, Robert M.; Sevyeri, Leili Rafiee 1 2020 Symbolic-numeric integration of rational functions. Zbl 07191896Moir, Robert H. C.; Corless, Robert M.; Maza, Marc Moreno; Xie, Ning 1 2020 Algebraic linearizations of matrix polynomials. Zbl 1433.15018Chan, Eunice Y. S.; Corless, Robert M.; Gonzalez-Vega, Laureano; Sendra, J. Rafael; Sendra, Juana 6 2019 Optimal residuals and the Dahlquist test problem. Zbl 1480.65160Corless, Robert M.; Kaya, C. Yalçın; Moir, Robert H. C. 3 2019 Backward error analysis for perturbation methods. Zbl 1450.65075Corless, Robert M.; Fillion, Nicolas 1 2019 Minimal height companion matrices for Euclid polynomials. Zbl 1474.11069Chan, E. Y. S.; Corless, R. M. 1 2019 Gamma and factorial in the Monthly. Zbl 1392.33001Borwein, Jonathan M.; Corless, Robert M. 6 2018 A new kind of companion matrix. Zbl 1375.15012Chan, Eunice Y. S.; Corless, Robert M. 3 2017 Jordan canonical form with parameters from Frobenius form with parameters. Zbl 07036051Corless, Robert M.; Moreno Maza, Marc; Thornton, Steven E. 1 2017 The Bohemian eigenvalue project. Zbl 1365.68485Corless, Robert M.; Thornton, Steven E. 6 2016 Variations on a theme of Euler. Zbl 06648226Corless, Robert M.; Jankowski, Julia E. 2 2016 Backward error of polynomial eigenvalue problems solved by linearization of Lagrange interpolants. Zbl 1327.65073Lawrence, Piers W.; Corless, Robert M. 6 2015 The Bézout matrix for Hermite interpolants. Zbl 1312.15055Aruliah, D. A.; Corless, R. M.; Diaz-Toca, G. M.; Gonzalez-Vega, L.; Shakoori, A. 1 2015 Stability of rootfinding for barycentric Lagrange interpolants. Zbl 1297.65051Lawrence, Piers W.; Corless, Robert M. 10 2014 On the epistemological analysis of modeling and computational error in the mathematical sciences. Zbl 1302.00053Fillion, Nicolas; Corless, Robert M. 3 2014 A package for parametric matrix computations. Zbl 1434.15002Corless, Robert M.; Thornton, Steven E. 1 2014 High-accuracy series solution for two-dimensional convection in a horizontal concentric cylinder. Zbl 1299.76197Zhang, Yiming; Corless, Robert M. 1 2014 A graduate introduction to numerical methods. From the viewpoint of backward error analysis. Zbl 1295.65001Corless, Robert M.; Fillion, Nicolas 31 2013 An application of regular chain theory to the study of limit cycles. Zbl 1277.34033Chen, Changbo; Corless, Robert M.; Maza, Marc Moreno; Yu, Pei; Zhang, Yiming 12 2013 Computing the topology of a real algebraic plane curve whose defining equations are available only “by values”. Zbl 1285.14065Corless, 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 1280.37040Corless, Robert M.; Lawrence, Piers W. 2 2013 Stieltjes and other integral representations for functions of Lambert W. Zbl 1258.33015Kalugin, German A.; Jeffrey, David J.; Corless, Robert M.; Borwein, Peter B. 9 2012 Bernstein, Pick, Poisson and related integral expressions for Lambert \(W\). Zbl 1255.30039Kalugin, German A.; Jeffrey, David J.; Corless, Robert M. 6 2012 Algorithm 917: Complex double-precision evaluation of the Wright \({\omega}\) function. Zbl 1365.65049Lawrence, Piers W.; Corless, Robert M.; Jeffrey, David J. 5 2012 Polynomial algebra for Birkhoff interpolants. Zbl 1218.41002Butcher, John C.; Corless, Robert M.; Gonzalez-Vega, Laureano; Shakoori, Azar 6 2011 Numerical stability of barycentric Hermite root-finding. Zbl 1345.65031Lawrence, Piers W.; Corless, Robert M. 5 2011 Using weighted norms to find nearest polynomials satisfying linear constraints. Zbl 1346.68300Rezvani, Nargol; Corless, Robert M. 1 2011 Linearization of matrix polynomials expressed in polynomial bases. Zbl 1158.15022Amiraslani, A.; Corless, R. M.; Lancaster, P. 50 2009 Symbolic computation of limit cycles associated with Hilbert’s 16th problem. Zbl 1221.34082Yu, P.; Corless, R. 21 2009 Using symmetries in the eigenvalue method for polynomial systems. Zbl 1174.14053Corless, Robert M.; Gatermann, Karin; Kotsireas, Ilias S. 1 2009 Barycentric Hermite interpolants for event localization in initial-value problems. Zbl 1188.65014Corless, Robert M.; Shakoori, Azar; Aruliah, D. A.; Gonzales-Vega, Laureano 13 2008 Adaptivity and computational complexity in the numerical solution of ODEs. Zbl 1145.65046Ilie, Silvana; Söderlind, Gustaf; Corless, Robert M. 6 2008 Polynomial cost for solving IVP for high-index DAE. Zbl 1141.65066Corless, Robert M.; Ilie, Silvana 4 2008 Algebraic properties of the Lambert \(W\) function from a result of Rosenlicht and of Liouville. Zbl 1156.33004Bronstein, Manuel; Corless, Robert M.; Davenport, James H.; Jeffrey, D. J. 2 2008 Compact finite difference method for American option pricing. Zbl 1151.91552Zhao, Jichao; Davison, Matt; Corless, Robert M. 37 2007 On a generalized companion matrix pencil for matrix polynomials expressed in the Lagrange basis. Zbl 1117.65051Corless, Robert M. 9 2007 Pseudospectra of matrix polynomials that are expressed in alternative bases. Zbl 1136.15012Corless, 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 1190.34072Corless, Robert M.; Ding, Hui; Higham, Nicholas J.; Jeffrey, David J. 7 2007 Financial applications of symbolically generated compact finite difference formulae. Zbl 1284.91578Zhao, Jichao; Corless, Robert M.; Davison, Matt 5 2007 Block \(\mathbf {LU}\) factors of generalized companion matrix pencils. Zbl 1140.65032Amiraslani, 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 1190.68087Corless, Robert M.; Assefa, Dawit 1 2007 Compact finite difference method for integro-differential equations. Zbl 1102.65144Zhao, Jichao; Corless, Robert M. 20 2006 Compact finite difference method for integro-differential equations. Zbl 1331.65180Zhao, Jichao; Corless, Robert M. 18 2006 Convergence of the compact finite difference method for second-order elliptic equations. Zbl 1111.65098Zhao, Jichao; Zhang, Tie; Corless, Robert M. 13 2006 Solving some delay differential equations with computer algebra. Zbl 1115.34074Heffernan, Jane M.; Corless, Robert M. 8 2006 Numerical solutions of index-1 differential algebraic equations can be computed in polynomial time. Zbl 1095.65081Ilie, Silvana; Corless, Robert M.; Reid, Greg 5 2006 The nearest polynomial with a given zero, revisited. Zbl 1341.12002Rezvani, Nargol; Corless, Robert M. 10 2005 \(QR\) factoring to compute the GCD of univariate approximate polynomials. Zbl 1372.65120Corless, Robert M.; Watt, Stephen M.; Zhi, Lihong 31 2004 Numerical parameterization of affine varieties using ODEs. Zbl 1088.68184Aruliah, D. A.; Corless, Robert M. 3 2004 Power series solutions of fractional differential equations. Zbl 1105.34035Benghorbal, Mhenni M.; Corless, Robert M. 2 2004 Essential Maple 7. An introduction for scientific programmers. Zbl 0987.68563Corless, Robert M. 9 2002 The Wright \(\omega\) function. Zbl 1072.68568Corless, Robert M.; Jeffrey, D. J. 8 2002 A geometric-numeric algorithm for absolute factorization of multivariate polynomials. Zbl 1072.68658Corless, Robert M.; Galligo, André; Kotsireas, Ilias S.; Watt, Stephen M. 8 2002 Reasoning about the elementary functions of complex analysis. Zbl 1007.30001Bradford, 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 1020.65037Corless, Robert M. 4 2002 Numerical implicitization of parametric hypersurfaces with linear algebra. Zbl 1042.65020Corless, Robert M.; Giesbrecht, Mark W.; Kotsireas, Ilias S.; Watt, Stephen M. 21 2001 Towards factoring bivariate approximate polynomials. Zbl 1356.13030Corless, 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 1042.68128Corless, 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 0971.65062Shampine, L. F.; Corless, Robert M. 10 2000 An elementary solution of a minimax problem arising in algorithms for automatic mesh selection. Zbl 1054.65084Corless, Robert M. 2 2000 Emerging tools for experimental mathematics. Zbl 0980.68146Borwein, Jonathan M.; Corless, Robert M. 14 1999 Optimization strategies for the approximate GCD problem. Zbl 0922.65011Chin, Paulina; Corless, Robert M.; Corliss, George F. 13 1998 Exact rational solutions of a transcendental equation. Zbl 0918.65035Jeffrey, D. J.; Hare, D. E. G.; Corless, R. M. 2 1998 A sequence of series for the Lambert \(W\) function. Zbl 0916.65015Corless, Robert M.; Jeffrey, David J.; Knuth, Donald E. 41 1997 A reordered Schur factorization method for zero-dimensional polynomial systems with multiple roots. Zbl 0917.65048Corless, Robert M.; Gianni, Patrizia M.; Trager, Barry M. 28 1997 Two perturbation calculations in fluid mechanics using large-expression management. Zbl 0872.68074Corless, R. M.; Jeffrey, D. J.; Monagan, M. B.; Pratibha 2 1997 What is organic mathematics? Zbl 1053.00506Borwein, Jonathan M.; Borwein, Peter B.; Corless, Robert M.; Jörgenson, Loki; Sinclair, Nathalie 2 1997 Continued fractions and chaos. (Reprint). Zbl 0890.58045Corless, Robert M. 1 1997 On the Lambert \(w\) function. Zbl 0863.65008Corless, R. M.; Gonnet, G. H.; Hare, D. E. G.; Jeffrey, D. J.; Knuth, D. E. 883 1996 Unwinding the branches of the Lambert \(W\) function. Zbl 0852.33001Jeffrey, D. J.; Hare, D. E. G.; Corless, Robert M. 24 1996 The symbolic generation of finite-difference formulae. Zbl 0900.65296Corless, Robert M.; Rokicki, Jacek 4 1996 The singular value decomposition for polynomial systems. Zbl 0920.65034Corless, Robert M.; Gianni, Patrizia M.; Trager, Barry M.; Watt, Stephen M. 55 1995 Approximate and real trajectories for generic dynamical systems. Zbl 0821.58036Corless, Robert M.; Pilyugin, S. Yu. 49 1995 Essential Maple. A guide for scientific programmers. Zbl 0813.68069Corless, Robert M. 9 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 0846.05002Jeffrey, David J.; Corless, Robert M.; Hare, David E. G.; Knuth, Donald E. 9 1995 Bifurcation in a flow-induced vibration model. Zbl 0830.34041Corless, Robert M. 2 1995 Evaluation of upper Lyapunov exponents on hyperbolic sets. Zbl 0821.58028Corless, Robert M.; Pilyugin, S. Yu. 1 1995 What good are numerical simulations of chaotic dynamical systems? Zbl 0813.65101Corless, R. M. 13 1994 Error backward. Zbl 0809.65090Corless, Robert M. 9 1994 An experimental interval arithmetic package in Maple. Zbl 0829.65149Connell, Amanda E.; Corless, Robert M. 3 1993 Defect-controlled numerical methods and shadowing for chaotic differential equations. Zbl 0779.34035Corless, Robert M. 13 1992 Continued fractions and chaos. Zbl 0758.58020Corless, R. M. 12 1992 Rationale for guaranteed ODE defect control. Zbl 0838.65085Corless, Robert M.; Corliss, George F. 6 1992 Numerical evaluation of Airy functions with complex arguments. Zbl 0758.65010Corless, R. M.; Jeffrey, D. J.; Rasmussen, H. 3 1992 Chaos and continued fractions. Zbl 0723.58037Corless, R. M.; Frank, G. W.; Monroe, J. Graham 6 1990 Solution of a hydrodynamic lubrication problem with Maple. Zbl 0693.76044Corless, R. M.; Jeffrey, D. J. 2 1990 Stress moments of nearly touching spheres in low Reynolds number flow. Zbl 0663.76022Corless, R. M.; Jeffrey, D. J. 11 1988 A comparison of three computer algebra systems for the solution of a problem in hydrodynamic lubrication. Zbl 0646.76042Corless, R. M.; Jeffrey, D. J. 1 1988 all cited Publications top 5 cited Publications all top 5 Cited by 2,351 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 Lemonte, Artur José 9 Mourrain, Bernard 9 Sendra, Juan Rafael 9 Sendra, Juana 8 Chan, Eunice Y. S. 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 Lee, Manseob 6 Mitchell, Joel 6 Pilyugin, Sergeĭ Yur’evich 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 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 Li, Feng 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 ...and 2,251 more Authors all top 5 Cited in 452 Serials 45 Applied Mathematics and Computation 45 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 Chaos, Solitons and Fractals 18 Numerical Algorithms 17 Communications in Statistics. Theory and Methods 16 Journal of Mathematical Physics 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 11 Applied Mathematical Modelling 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 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 the Franklin Institute 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 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 Journal of Difference Equations and Applications 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 ...and 352 more Serials all top 5 Cited in 61 Fields 405 Numerical analysis (65-XX) 176 Ordinary differential equations (34-XX) 167 Probability theory and stochastic processes (60-XX) 141 Statistics (62-XX) 140 Biology and other natural sciences (92-XX) 135 Computer science (68-XX) 123 Dynamical systems and ergodic theory (37-XX) 101 Partial differential equations (35-XX) 90 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) 64 Operations research, mathematical programming (90-XX) 64 Systems theory; control (93-XX) 63 Combinatorics (05-XX) 58 Fluid mechanics (76-XX) 55 Algebraic geometry (14-XX) 51 Approximations and expansions (41-XX) 49 Statistical mechanics, structure of matter (82-XX) 46 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 Operator theory (47-XX) 19 Optics, electromagnetic theory (78-XX) 18 Functional analysis (46-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 15 Mechanics of particles and systems (70-XX) 13 Difference and functional equations (39-XX) 13 Differential geometry (53-XX) 13 General topology (54-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 Measure and integration (28-XX) 6 Geophysics (86-XX) 6 Mathematics education (97-XX) 5 Mathematical logic and foundations (03-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) 3 Several complex variables and analytic spaces (32-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Potential theory (31-XX) 2 Convex and discrete geometry (52-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) 1 Geometry (51-XX) Citations by Year