Edit Profile (opens in new tab) Moler, Cleve B. Compute Distance To: Compute Author ID: moler.cleve-b Published as: Moler, C. B.; Moler, Cleve; Moler, Cleve B.; Moler, C. more...less Homepage: https://www.mathworks.com/company/aboutus/founders/clevemoler.html External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Twitter · dblp · GND · IdRef Documents Indexed: 40 Publications since 1966, including 13 Books Co-Authors: 29 Co-Authors with 32 Joint Publications 860 Co-Co-Authors all top 5 Co-Authors 6 single-authored 5 Forsythe, George E. 5 Stewart, Gilbert Wright 4 Dongarra, Jack J. 3 Boyle, James M. 3 Garbow, Burton S. 3 Lyness, James N. 2 Amato, James J. 2 Gardiner, Judith D. 2 Klema, Virginia C. 2 Laub, Alan J. 2 Malcolm, Michael A. 2 Solomon, L. P. 2 Van Loan, Charles Francis 1 Bunch, James R. 1 Cline, Alan K. 1 Davis, George J. 1 Gilbert, John R. 1 Golub, Gene Howard 1 Greenberg, James M. 1 Henrici, Peter 1 Kahaner, David K. 1 Nash, Stephen G. 1 Payne, Lawrence Edward 1 Schreiber, Robert S. 1 Smoller, Joel Alan 1 Strang, William Gilbert 1 Wette, Matthew R. 1 Wilkinson, James Hardy 1 Wilkinsons, J. H. all top 5 Serials 6 SIAM Journal on Numerical Analysis 3 SIAM Review 3 Lecture Notes in Computer Science 2 ACM Transactions on Mathematical Software 2 Numerische Mathematik 1 American Mathematical Monthly 1 Archive for Rational Mechanics and Analysis 1 Journal of the Acoustical Society of America 1 Journal of Computational Physics 1 International Journal for Numerical Methods in Engineering 1 Journal of the Association for Computing Machinery 1 SIAM Journal on Matrix Analysis and Applications 1 Communications of the ACM 1 IBM Journal of Research and Development 1 Linear Algebra and its Applications all top 5 Fields 26 Numerical analysis (65-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Computer science (68-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 2,303 times in 2,074 Documents Cited by ▼ Year ▼ Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. Zbl 1030.65029Moler, Cleve; Van Loan, Charles 465 2003 Computer methods for mathematical computations. Zbl 0361.65002Forsythe, George E.; Malcolm, Michael A.; Moler, Cleve B. 265 1977 Nineteen dubious ways to compute the exponential of a matrix. Zbl 0395.65012Moler, Cleve; Van Loan, Charles F. 253 1978 An algorithm for generalized matrix eigenvalue problems. Zbl 0253.65019Moler, C. B.; Stewart, G. W. 230 1973 LINPACK, users’ guide. 2nd printing. Zbl 0476.68025Dongarra, J. J.; Bunch, J. R.; Moler, C. B.; Stewart, G. W. 155 1980 Computer solution of linear algebraic systems. Zbl 0154.40401Forsythe, G. E.; Moler, C. B. 138 1967 Matrix eigensystem routines - EISPACK guide. 2nd ed. Zbl 0325.65016Smith, B. T.; Boyle, J. M.; Dongarra, J. J.; Garbow, B. S.; Ikebe, Y.; Klema, V. C.; Moler, C. B. 137 1976 Numerical differentiation of analytic functions. Zbl 0155.48003Lyness, J. N.; Moler, C. B. 82 1967 Approximations and bounds for eigenvalues of elliptic operators. Zbl 0148.39502Fox, L.; Henrici, P.; Moler, C. 73 1967 Numerical methods and software. With disc. Zbl 0744.65002Kahaner, David; Moler, Cleve; Nash, Stephen 70 1989 Matrix eigensystem routines. EISPACK guide extension. Zbl 0368.65020Garbow, B. S.; Boyle, J. M.; Dongarra, J. J.; Moler, C. B. 70 1977 Solution of the Sylvester matrix equation \(AXB^T+CXD^T=E\). Zbl 0893.65026Gardiner, Judith D.; Laub, Alan J.; Amato, James J.; Moler, Cleve B. 55 1992 An estimate for the condition number of a matrix. Zbl 0403.65012Cline, A. K.; Moler, C. B.; Stewart, G. W.; Wilkinson, J. H. 50 1979 Sparse matrices in MATLAB: Design and implementation. Zbl 0752.65037Gilbert, John R.; Moler, Cleve; Schreiber, Robert 43 1992 Matrix eigensystem routines - EISPACK guide. Zbl 0289.65017Smith, B. T.; Boyle, J. M.; Garbow, B. S.; Ikebe, Y.; Klema, V. C.; Moler, C. B. 43 1974 Numerical computing with Matlab. Zbl 1059.68162Moler, Cleve B. 36 2004 Iterative refinement in floating point. Zbl 0161.35501Moler, C. B. 27 1967 Improving the accuracy of computed eigenvalues and eigenvectors. Zbl 0523.65021Dongarra, J. J.; Moler, C. B.; Wilkinsons, J. H. 22 1983 Bounds for eigenvalues and eigenvectors of symmetric operators. Zbl 0159.44204Moler, C. B.; Payne, L. E. 20 1968 Van der Monde systems and numerical differentiation. Zbl 0141.33404Lyness, J. N.; Moler, C. B. 18 1966 Algorithm 705: A FORTRAN-77 software package for solving the Sylvester matrix equation \(AXB^T+CXD^T=E\). Zbl 0893.65027Gardiner, Judith D.; Wette, Matthew R.; Laub, Alan J.; Amato, James J.; Moler, Cleve B. 8 1992 Elementary interactions in quasi-linear hyperbolic systems. Zbl 0192.44901Moler, C.; Smoller, J. 8 1970 Numerical computing with MATLAB. 2nd ed. Zbl 1214.68473Moler, Cleve B. 7 2010 Computer methods for mathematical computations. (Mashinnye metody matematicheskikh vychislenij). Transl. from the English by Kh. D. Ikramov. Zbl 0547.65001Forsythe, George E.; Malcolm, Michael A.; Moler, Cleve B. 5 1980 Generalized Romberg methods for integrals of derivatives. Zbl 0175.16102Lyness, J. N.; Moler, C. B. 5 1969 Singular value analysis of cryptograms. Zbl 0506.94010Moler, Cleve; Morrison, Donald 3 1983 On the Householder Fox algorithm for decomposing a projection. Zbl 0395.65009Moler, Cleve B.; Stewart, G. W. 3 1978 An algorithm for generalized matrix eigenvalue problems. Zbl 0225.65046Moler, C. B.; Stewart, G. W. 3 1972 Collisionless solutions to the four velocity Broadwell equations. Zbl 0734.76061Greenberg, J. M.; Moler, Cleve 2 1991 Computer-Verfahren für lineare algebraische Systeme. Zbl 0217.52503Forsythe, G. E.; Moler, C. B. 2 1971 Numerical computing with MATLAB. Zbl 1331.65003Moler, Cleve B. 2 2012 Demonstration of a matrix laboratory. Zbl 0473.65008Moler, Cleve 1 1982 Computer solution of linear algebraic systems. Translation from the English ed. by V.P. Il’in und Ju. I. Kuznecov. Zbl 0182.22701Forsythe, G. E.; Moler, C. B. 1 1969 Lu and CR elimination. Zbl 1485.15015Strang, Gilbert; Moler, Cleve 1 2022 Lu and CR elimination. Zbl 1485.15015Strang, Gilbert; Moler, Cleve 1 2022 Numerical computing with MATLAB. Zbl 1331.65003Moler, Cleve B. 2 2012 Numerical computing with MATLAB. 2nd ed. Zbl 1214.68473Moler, Cleve B. 7 2010 Numerical computing with Matlab. Zbl 1059.68162Moler, Cleve B. 36 2004 Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. Zbl 1030.65029Moler, Cleve; Van Loan, Charles 465 2003 Solution of the Sylvester matrix equation \(AXB^T+CXD^T=E\). Zbl 0893.65026Gardiner, Judith D.; Laub, Alan J.; Amato, James J.; Moler, Cleve B. 55 1992 Sparse matrices in MATLAB: Design and implementation. Zbl 0752.65037Gilbert, John R.; Moler, Cleve; Schreiber, Robert 43 1992 Algorithm 705: A FORTRAN-77 software package for solving the Sylvester matrix equation \(AXB^T+CXD^T=E\). Zbl 0893.65027Gardiner, Judith D.; Wette, Matthew R.; Laub, Alan J.; Amato, James J.; Moler, Cleve B. 8 1992 Collisionless solutions to the four velocity Broadwell equations. Zbl 0734.76061Greenberg, J. M.; Moler, Cleve 2 1991 Numerical methods and software. With disc. Zbl 0744.65002Kahaner, David; Moler, Cleve; Nash, Stephen 70 1989 Improving the accuracy of computed eigenvalues and eigenvectors. Zbl 0523.65021Dongarra, J. J.; Moler, C. B.; Wilkinsons, J. H. 22 1983 Singular value analysis of cryptograms. Zbl 0506.94010Moler, Cleve; Morrison, Donald 3 1983 Demonstration of a matrix laboratory. Zbl 0473.65008Moler, Cleve 1 1982 LINPACK, users’ guide. 2nd printing. Zbl 0476.68025Dongarra, J. J.; Bunch, J. R.; Moler, C. B.; Stewart, G. W. 155 1980 Computer methods for mathematical computations. (Mashinnye metody matematicheskikh vychislenij). Transl. from the English by Kh. D. Ikramov. Zbl 0547.65001Forsythe, George E.; Malcolm, Michael A.; Moler, Cleve B. 5 1980 An estimate for the condition number of a matrix. Zbl 0403.65012Cline, A. K.; Moler, C. B.; Stewart, G. W.; Wilkinson, J. H. 50 1979 Nineteen dubious ways to compute the exponential of a matrix. Zbl 0395.65012Moler, Cleve; Van Loan, Charles F. 253 1978 On the Householder Fox algorithm for decomposing a projection. Zbl 0395.65009Moler, Cleve B.; Stewart, G. W. 3 1978 Computer methods for mathematical computations. Zbl 0361.65002Forsythe, George E.; Malcolm, Michael A.; Moler, Cleve B. 265 1977 Matrix eigensystem routines. EISPACK guide extension. Zbl 0368.65020Garbow, B. S.; Boyle, J. M.; Dongarra, J. J.; Moler, C. B. 70 1977 Matrix eigensystem routines - EISPACK guide. 2nd ed. Zbl 0325.65016Smith, B. T.; Boyle, J. M.; Dongarra, J. J.; Garbow, B. S.; Ikebe, Y.; Klema, V. C.; Moler, C. B. 137 1976 Matrix eigensystem routines - EISPACK guide. Zbl 0289.65017Smith, B. T.; Boyle, J. M.; Garbow, B. S.; Ikebe, Y.; Klema, V. C.; Moler, C. B. 43 1974 An algorithm for generalized matrix eigenvalue problems. Zbl 0253.65019Moler, C. B.; Stewart, G. W. 230 1973 An algorithm for generalized matrix eigenvalue problems. Zbl 0225.65046Moler, C. B.; Stewart, G. W. 3 1972 Computer-Verfahren für lineare algebraische Systeme. Zbl 0217.52503Forsythe, G. E.; Moler, C. B. 2 1971 Elementary interactions in quasi-linear hyperbolic systems. Zbl 0192.44901Moler, C.; Smoller, J. 8 1970 Generalized Romberg methods for integrals of derivatives. Zbl 0175.16102Lyness, J. N.; Moler, C. B. 5 1969 Computer solution of linear algebraic systems. Translation from the English ed. by V.P. Il’in und Ju. I. Kuznecov. Zbl 0182.22701Forsythe, G. E.; Moler, C. B. 1 1969 Bounds for eigenvalues and eigenvectors of symmetric operators. Zbl 0159.44204Moler, C. B.; Payne, L. E. 20 1968 Computer solution of linear algebraic systems. Zbl 0154.40401Forsythe, G. E.; Moler, C. B. 138 1967 Numerical differentiation of analytic functions. Zbl 0155.48003Lyness, J. N.; Moler, C. B. 82 1967 Approximations and bounds for eigenvalues of elliptic operators. Zbl 0148.39502Fox, L.; Henrici, P.; Moler, C. 73 1967 Iterative refinement in floating point. Zbl 0161.35501Moler, C. B. 27 1967 Van der Monde systems and numerical differentiation. Zbl 0141.33404Lyness, J. N.; Moler, C. B. 18 1966 all cited Publications top 5 cited Publications all top 5 Cited by 3,316 Authors 19 Jódar Sanchez, Lucas Antonio 15 Defez, Emilio 15 Van Dooren, Paul M. 13 Sastre, Jorge 12 Benner, Peter 12 Higham, Nicholas J. 12 Ibáñez González, Jacinto Javier 12 Khaliq, Abdul Q. M. 10 Garcia, Roberto D. M. 10 Lin, Wen-Wei 10 Sadkane, Miloud 9 Dongarra, Jack J. 9 Jimenez, Juan Carlos 9 Petkov, Petko Hr. 8 Blanes, Sergio 8 Dopico, Froilán M. 8 Golub, Gene Howard 8 Zhang, Yongtao 7 Konstantinov, Mikhail Mikhajlov 7 Kublanovskaya, Vera Nikolaevna 7 Laub, Alan J. 7 Li, Tien-Yien 7 Lyness, James N. 7 Milovanović, Gradimir V. 7 Nechepurenko, Yuri M. 7 Quintana-Ortí, Enrique S. 7 Reichel, Lothar 7 Ruiz, Pedro A. 7 Shampine, Lawrence Fred 7 Vandebril, Raf 7 Watkins, David S. 7 Yousuf, Muhammad Irfan 7 Zlatev, Zahari 6 Alonso, Pedro 6 Bochev, M. A. 6 Carbonell, Felix 6 Christov, Nicolai D. 6 Kågström, Bo 6 Kressner, Daniel 6 Li, Dongping 6 Miller, Webb 6 Nakatsukasa, Yuji 6 Piqueira, José Roberto Castilho 6 Ponsoda, Enrique 6 Sergiyenko, Ivan Vasyl’ovych 6 Shieh, Leang-San 6 Siewert, Charles E. 6 Wade, Bruce A. 5 Antunes, Pedro Ricardo Simão 5 Bhatt, Harish P. 5 Björck, Åke 5 Byers, Ralph 5 Caliari, Marco 5 Chizhonkov, Eugene V. 5 Chu, Moody T. 5 de la Cruz, H. 5 Dehghan Takht Fooladi, Mehdi 5 Demmel, James Weldon 5 Evans, David John 5 Gautschi, Walter 5 Ikebe, Yasuhiko 5 Ju, Lili 5 Lombard, Bruno 5 Malyshev, Alexander N. 5 Martín-Vaquero, Jesús 5 Navarro, Enrique A. 5 Özekici, Süleyman 5 Peña, Juan Manuel 5 Van Loan, Charles Francis 4 Aràndiga, Francesc 4 Areias, Pedro M. A. 4 Asmussen, Søren 4 Bladt, Mogens 4 Boisvert, Ronald F. 4 Boyd, Stephen Poythress 4 Calvetti, Daniela 4 Cardoso, João R. 4 Dai, Hua 4 Ershov, I. V. 4 Faßbender, Heike 4 Galba, E. F. 4 Grigor’ev, Yu. N. 4 Hansen, Per Christian 4 Harbrecht, Helmut 4 Hashemi, Behnam 4 Júdice, Joaquim João 4 Kaloerov, S. A. 4 Kenney, Charles S. 4 Li, Zi-Cai 4 Lord, Gabriel James 4 Mach, Thomas 4 Moiseev, N. Ya. 4 Peng, Haijun 4 Pérez, Javier J. 4 Quintana-Ortí, Gregorio 4 Quintana, María C. 4 Rozanova, Olga S. 4 Soyer, Refik 4 Stewart, Gilbert Wright 4 Tokman, Mayya ...and 3,216 more Authors all top 5 Cited in 383 Serials 142 Journal of Computational and Applied Mathematics 121 Linear Algebra and its Applications 114 Journal of Computational Physics 69 Computers & Mathematics with Applications 68 Applied Mathematics and Computation 57 Numerische Mathematik 54 Computer Methods in Applied Mechanics and Engineering 44 Applied Numerical Mathematics 43 Mathematics of Computation 37 BIT 34 International Journal of Control 32 SIAM Journal on Scientific Computing 27 Computer Physics Communications 26 Numerical Algorithms 25 Journal of Fluid Mechanics 25 Automatica 23 Computing 23 International Journal of Computer Mathematics 22 SIAM Journal on Matrix Analysis and Applications 21 International Journal for Numerical Methods in Engineering 20 Computational Statistics and Data Analysis 19 Journal of Scientific Computing 17 Journal of Optimization Theory and Applications 17 Mathematical and Computer Modelling 16 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 Computers and Fluids 15 Cybernetics and Systems Analysis 14 BIT. Nordisk Tidskrift for Informationsbehandling 13 Systems & Control Letters 13 Applied Mathematical Modelling 13 Engineering Analysis with Boundary Elements 12 Mathematics and Computers in Simulation 12 Physica D 12 Computational Mathematics and Mathematical Physics 12 European Journal of Operational Research 12 Numerical Linear Algebra with Applications 11 International Journal for Numerical Methods in Fluids 11 Journal of Mathematical Analysis and Applications 11 Computational Mechanics 10 Journal of the Franklin Institute 10 Circuits, Systems, and Signal Processing 10 Communications in Statistics. Simulation and Computation 10 Advances in Computational Mathematics 10 Mathematical Problems in Engineering 9 Acta Mechanica 9 Kybernetika 9 Japan Journal of Industrial and Applied Mathematics 9 Physics of Fluids 9 Journal of Mathematical Sciences (New York) 9 Journal of Theoretical Biology 8 Mathematical Biosciences 8 Calcolo 8 Applied Mathematics Letters 8 Journal of Applied Mechanics and Technical Physics 7 International Journal of Systems Science 7 Linear and Multilinear Algebra 7 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 7 Computers & Operations Research 7 Pattern Recognition 7 Journal of Computer and Systems Sciences International 6 Journal of Mathematical Biology 6 Journal of Econometrics 6 SIAM Journal on Algebraic and Discrete Methods 6 Numerical Methods for Partial Differential Equations 6 Journal of Economic Dynamics & Control 6 Journal of Statistical Computation and Simulation 6 SIAM Review 6 Journal of Mathematical Imaging and Vision 6 Computational and Applied Mathematics 6 European Journal of Mechanics. B. Fluids 6 Communications in Nonlinear Science and Numerical Simulation 6 Stochastic Models 5 Physica A 5 Wave Motion 5 Communications in Statistics. Theory and Methods 5 Russian Journal of Numerical Analysis and Mathematical Modelling 5 Journal of Mathematical Chemistry 5 Journal of Applied Mathematics and Computing 5 Acta Numerica 4 Fluid Dynamics 4 Transport Theory and Statistical Physics 4 Ukrainian Mathematical Journal 4 Bulletin of Mathematical Biology 4 ACM Transactions on Mathematical Software 4 Journal of Approximation Theory 4 Journal of Soviet Mathematics 4 SIAM Journal on Numerical Analysis 4 Theoretical Population Biology 4 Optimal Control Applications & Methods 4 Queueing Systems 4 Mathematical Programming. Series A. Series B 4 Computational Optimization and Applications 4 Communications in Numerical Methods in Engineering 4 Chaos 4 Probability in the Engineering and Informational Sciences 4 Methodology and Computing in Applied Probability 4 Computational Methods in Applied Mathematics 3 Archive for Rational Mechanics and Analysis 3 Astrophysics and Space Science 3 Communications in Mathematical Physics ...and 283 more Serials all top 5 Cited in 55 Fields 1,276 Numerical analysis (65-XX) 337 Linear and multilinear algebra; matrix theory (15-XX) 225 Fluid mechanics (76-XX) 217 Partial differential equations (35-XX) 171 Systems theory; control (93-XX) 161 Ordinary differential equations (34-XX) 147 Mechanics of deformable solids (74-XX) 141 Statistics (62-XX) 125 Probability theory and stochastic processes (60-XX) 107 Operations research, mathematical programming (90-XX) 104 Computer science (68-XX) 76 Biology and other natural sciences (92-XX) 61 Approximations and expansions (41-XX) 58 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 50 Calculus of variations and optimal control; optimization (49-XX) 42 Quantum theory (81-XX) 39 Statistical mechanics, structure of matter (82-XX) 38 Mechanics of particles and systems (70-XX) 36 Dynamical systems and ergodic theory (37-XX) 31 Integral equations (45-XX) 28 Classical thermodynamics, heat transfer (80-XX) 26 Information and communication theory, circuits (94-XX) 25 Optics, electromagnetic theory (78-XX) 22 Special functions (33-XX) 21 Functions of a complex variable (30-XX) 20 Combinatorics (05-XX) 20 Operator theory (47-XX) 19 Geophysics (86-XX) 15 Real functions (26-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 Difference and functional equations (39-XX) 10 Integral transforms, operational calculus (44-XX) 7 Differential geometry (53-XX) 7 Astronomy and astrophysics (85-XX) 6 Field theory and polynomials (12-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 General and overarching topics; collections (00-XX) 5 Number theory (11-XX) 5 Relativity and gravitational theory (83-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 3 Sequences, series, summability (40-XX) 2 Mathematical logic and foundations (03-XX) 2 Nonassociative rings and algebras (17-XX) 2 Potential theory (31-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.