Edit Profile Van Loan, Charles Francis Compute Distance To: Compute Author ID: van-loan.charles-f Published as: Van Loan, Charles; Van Loan, Charles F.; van Loan, Charles F. External Links: MGP · Wikidata · GND Documents Indexed: 58 Publications since 1975, including 11 Books all top 5 Co-Authors 23 single-authored 10 Golub, Gene Howard 4 Moravitz Martin, Carla D. 3 Kågström, Bo 2 Bischof, Christian H. 2 Ling, Per 2 Moler, Cleve B. 2 Ragnarsson, Stefan 1 Bernstein, Daniel S. 1 Brent, Richard Peirce 1 Bunch, James R. 1 Cline, Alan K. 1 Coleman, Thomas F. 1 Conn, Andrew Roger 1 Cybenko, George 1 Dackland, Krister 1 Demmel, James Weldon 1 Elmachtoub, Adam N. 1 Elmroth, Erik 1 Fan, K.-Y. Daisy 1 Luk, Franklin T. 1 Nash, Stephen G. 1 Paige, Chris C. 1 Pitsianis, Nikos P. 1 Schreiber, Robert S. 1 Vokt, Joseph P. all top 5 Serials 8 SIAM Journal on Matrix Analysis and Applications 5 SIAM Journal on Numerical Analysis 5 Linear Algebra and its Applications 3 IEEE Transactions on Automatic Control 3 SIAM Journal on Scientific and Statistical Computing 3 SIAM Review 2 ACM Transactions on Mathematical Software 2 Frontiers in Applied Mathematics 2 Johns Hopkins Series in the Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Mathematical Programming Study 1 Numerische Mathematik 1 Journal of VLSI and Computer Systems 1 Texts and Readings in Mathematics all top 5 Fields 54 Numerical analysis (65-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 4 Ordinary differential equations (34-XX) 4 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 50 Publications have been cited 8,633 times in 7,834 Documents Cited by ▼ Year ▼ Matrix computations. 3rd ed. Zbl 0865.65009Golub, Gene; Van Loan, Charles F. 3,172 1996 Matrix computations. 2nd ed. Zbl 0733.65016Golub, Gene H.; Van Loan, Charles F. 1,492 1989 Matrix computations. Zbl 0559.65011Golub, Gene H.; Van Loan, Charles F. 934 1983 Matrix computations. 4th ed. Zbl 1268.65037Golub, Gene H.; Van Loan, Charles F. 680 2013 Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. Zbl 1030.65029Moler, Cleve; Van Loan, Charles 376 2003 Nineteen dubious ways to compute the exponential of a matrix. Zbl 0395.65012Moler, Cleve; Van Loan, Charles F. 229 1978 A Hessenberg-Schur method for the problem AX+XB=C. Zbl 0421.65022Golub, Gene H.; Nash, S.; Van Loan, Charles F. 222 1979 Matrix computations. 3rd ed. Zbl 1118.65316Golub, Gene; Van Loan, Charles F. 220 2007 Computational frameworks for the fast Fourier transform. Zbl 0757.65154Van Loan, Charles F. 166 1992 An analysis of the total least squares problem. Zbl 0468.65011Golub, Gene H.; Van Loan, Charles F. 154 1980 Generalizing the singular value decomposition. Zbl 0338.65022Van Loan, Charles F. 139 1976 Computing integrals involving the matrix exponential. Zbl 0387.65013Van Loan, Charles F. 114 1978 The ubiquitous Kronecker product. Zbl 0966.65039Van Loan, Charles F. 102 2000 A Schur decomposition for Hamiltonian matrices. Zbl 1115.15316Paige, Chris; Van Loan, Charles 70 1981 The sensitivity of the matrix exponential. Zbl 0368.65006Van Loan, Charles F. 63 1977 Approximation with Kronecker products. Zbl 0813.65078Van Loan, Charles F.; Pitsianis, N. 60 1993 A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix. Zbl 0565.65018Van Loan, Charles F. 52 1984 A storage-efficient WY representation for products of Householder transformations. Zbl 0664.65025Schreiber, Robert; Van Loan, Charles F. 40 1989 The WY representation for products of Householder matrices. Zbl 0628.65033Bischof, Christian; Van Loan, Charles F. 35 1987 Matrix computations. Paperback ed., 4th printing. Zbl 0592.65011Golub, Gene H.; Van Loan, Charles F. 32 1985 On the method of weighting for equality-constrained least-squares problems. Zbl 0584.65015Van Loan, Charles F. 31 1985 How near is a stable matrix to an unstable matrix? Zbl 0576.15011Van Loan, Charles F. 28 1985 Computing the CS and the generalized singular value decompositions. Zbl 0548.65020Van Loan, Charles F. 22 1985 Computing the minimum eigenvalue of a symmetric positive definite Toeplitz matrix. Zbl 0626.65030Cybenko, George; van Loan, Charles F. 21 1986 Computation of the singular value decomposition using mesh-connected processors. Zbl 0597.65029Brent, Richard P.; Luk, Franklin T.; Van Loan, Charles F. 21 1985 Block tensors and symmetric embeddings. Zbl 1390.15082Ragnarsson, Stefan; Van Loan, Charles F. 19 2013 The strong stability of algorithms for solving symmetric linear systems. Zbl 0687.65021Bunch, James R.; Demmel, James W.; Van Loan, Charles F. 16 1989 Block tensor unfoldings. Zbl 1246.15028Ragnarsson, Stefan; Van Loan, Charles F. 15 2012 A general matrix eigenvalue algorithm. Zbl 0321.65023Van Loan, Charles F. 15 1975 Unsymmetric positive definite linear systems. Zbl 0419.65025Golub, Gene H.; Van Loan, Charles F. 11 1979 GEMM-based level 3 BLAS: High-performance model implementations and performance evaluation benchmark. Zbl 0930.65047Kågström, Bo; Ling, Per; Van Loan, Charles 9 1998 A Jacobi-type method for computing orthogonal tensor decompositions. Zbl 1168.15025Moravitz Martin, Carla D.; Van Loan, Charles F. 8 2008 From random polygon to ellipse: An eigenanalysis. Zbl 1187.65033Elmachtoub, Adam N.; Van Loan, Charles F. 7 2010 Handbook for matrix computations. Zbl 0681.65009Coleman, Thomas F.; Van Loan, Charles F. 7 1988 A note on the evaluation of matrix polynomials. Zbl 0401.65027Van Loan, Charles F. 7 1979 On estimating the condition of eigenvalues and eigenvectors. Zbl 0631.65030Van Loan, Charles F. 6 1987 Using the Hessenberg decomposition in control theory. Zbl 0481.93030Van Loan, Charles F. 6 1982 Rational matrix functions and rank-1 updates. Zbl 0970.65046Bernstein, Daniel S.; Van Loan, Charles F. 5 2000 Structured matrix problems from tensors. Zbl 1361.65024Van Loan, Charles F. 4 2016 Generalizing the LINPACK condition estimator. Zbl 0532.65032Cline, Alan K.; Conn, Andrew R.; Van Loan, Charles F. 4 1982 Approximating matrices with multiple symmetries. Zbl 1319.65032Van Loan, Charles F.; Vokt, Joseph P. 3 2015 Shifted Kronecker product systems. Zbl 1141.65021Moravitz Martin, Carla D.; van Loan, Charles F. 3 2006 The block Jacobi method for computing the singular value decomposition. Zbl 0611.65020Van Loan, Charles F. 3 1986 Algorithm 784: GEMM-based level 3 BLAS: Portability and optimization issues. Zbl 0930.65048Kågström, Bo; Ling, Per; Van Loan, Charles 2 1998 Design and evaluation of parallel block algorithms: LU factorization on an IBM 3090 VF/600J. Zbl 0788.65027Dackland, Krister; Elmroth, Erik; Kågström, Bo; Van Loan, Charles F. 2 1992 A block QR factorization scheme for loosely coupled systems of array processors. Zbl 0701.65023Van Loan, Charles F. 2 1988 Solving real linear systems with the complex Schur decomposition. Zbl 1144.65019Moravitz Martin, Carla D.; Van Loan, Charles F. 1 2006 Product triangular systems with shift. Zbl 1013.65024Moravitz Martin, Carla D.; Van Loan, Charles F. 1 2002 A generalized SVD analysis of some weighting methods for equality constrained least squares. Zbl 0515.65034Van Loan, Charles F. 1 1983 On the limitation and application of Padé approximation to the matrix exponential. Zbl 0383.41011Van Loan, Charles F. 1 1977 Structured matrix problems from tensors. Zbl 1361.65024Van Loan, Charles F. 4 2016 Approximating matrices with multiple symmetries. Zbl 1319.65032Van Loan, Charles F.; Vokt, Joseph P. 3 2015 Matrix computations. 4th ed. Zbl 1268.65037Golub, Gene H.; Van Loan, Charles F. 680 2013 Block tensors and symmetric embeddings. Zbl 1390.15082Ragnarsson, Stefan; Van Loan, Charles F. 19 2013 Block tensor unfoldings. Zbl 1246.15028Ragnarsson, Stefan; Van Loan, Charles F. 15 2012 From random polygon to ellipse: An eigenanalysis. Zbl 1187.65033Elmachtoub, Adam N.; Van Loan, Charles F. 7 2010 A Jacobi-type method for computing orthogonal tensor decompositions. Zbl 1168.15025Moravitz Martin, Carla D.; Van Loan, Charles F. 8 2008 Matrix computations. 3rd ed. Zbl 1118.65316Golub, Gene; Van Loan, Charles F. 220 2007 Shifted Kronecker product systems. Zbl 1141.65021Moravitz Martin, Carla D.; van Loan, Charles F. 3 2006 Solving real linear systems with the complex Schur decomposition. Zbl 1144.65019Moravitz Martin, Carla D.; Van Loan, Charles F. 1 2006 Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. Zbl 1030.65029Moler, Cleve; Van Loan, Charles 376 2003 Product triangular systems with shift. Zbl 1013.65024Moravitz Martin, Carla D.; Van Loan, Charles F. 1 2002 The ubiquitous Kronecker product. Zbl 0966.65039Van Loan, Charles F. 102 2000 Rational matrix functions and rank-1 updates. Zbl 0970.65046Bernstein, Daniel S.; Van Loan, Charles F. 5 2000 GEMM-based level 3 BLAS: High-performance model implementations and performance evaluation benchmark. Zbl 0930.65047Kågström, Bo; Ling, Per; Van Loan, Charles 9 1998 Algorithm 784: GEMM-based level 3 BLAS: Portability and optimization issues. Zbl 0930.65048Kågström, Bo; Ling, Per; Van Loan, Charles 2 1998 Matrix computations. 3rd ed. Zbl 0865.65009Golub, Gene; Van Loan, Charles F. 3,172 1996 Approximation with Kronecker products. Zbl 0813.65078Van Loan, Charles F.; Pitsianis, N. 60 1993 Computational frameworks for the fast Fourier transform. Zbl 0757.65154Van Loan, Charles F. 166 1992 Design and evaluation of parallel block algorithms: LU factorization on an IBM 3090 VF/600J. Zbl 0788.65027Dackland, Krister; Elmroth, Erik; Kågström, Bo; Van Loan, Charles F. 2 1992 Matrix computations. 2nd ed. Zbl 0733.65016Golub, Gene H.; Van Loan, Charles F. 1,492 1989 A storage-efficient WY representation for products of Householder transformations. Zbl 0664.65025Schreiber, Robert; Van Loan, Charles F. 40 1989 The strong stability of algorithms for solving symmetric linear systems. Zbl 0687.65021Bunch, James R.; Demmel, James W.; Van Loan, Charles F. 16 1989 Handbook for matrix computations. Zbl 0681.65009Coleman, Thomas F.; Van Loan, Charles F. 7 1988 A block QR factorization scheme for loosely coupled systems of array processors. Zbl 0701.65023Van Loan, Charles F. 2 1988 The WY representation for products of Householder matrices. Zbl 0628.65033Bischof, Christian; Van Loan, Charles F. 35 1987 On estimating the condition of eigenvalues and eigenvectors. Zbl 0631.65030Van Loan, Charles F. 6 1987 Computing the minimum eigenvalue of a symmetric positive definite Toeplitz matrix. Zbl 0626.65030Cybenko, George; van Loan, Charles F. 21 1986 The block Jacobi method for computing the singular value decomposition. Zbl 0611.65020Van Loan, Charles F. 3 1986 Matrix computations. Paperback ed., 4th printing. Zbl 0592.65011Golub, Gene H.; Van Loan, Charles F. 32 1985 On the method of weighting for equality-constrained least-squares problems. Zbl 0584.65015Van Loan, Charles F. 31 1985 How near is a stable matrix to an unstable matrix? Zbl 0576.15011Van Loan, Charles F. 28 1985 Computing the CS and the generalized singular value decompositions. Zbl 0548.65020Van Loan, Charles F. 22 1985 Computation of the singular value decomposition using mesh-connected processors. Zbl 0597.65029Brent, Richard P.; Luk, Franklin T.; Van Loan, Charles F. 21 1985 A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix. Zbl 0565.65018Van Loan, Charles F. 52 1984 Matrix computations. Zbl 0559.65011Golub, Gene H.; Van Loan, Charles F. 934 1983 A generalized SVD analysis of some weighting methods for equality constrained least squares. Zbl 0515.65034Van Loan, Charles F. 1 1983 Using the Hessenberg decomposition in control theory. Zbl 0481.93030Van Loan, Charles F. 6 1982 Generalizing the LINPACK condition estimator. Zbl 0532.65032Cline, Alan K.; Conn, Andrew R.; Van Loan, Charles F. 4 1982 A Schur decomposition for Hamiltonian matrices. Zbl 1115.15316Paige, Chris; Van Loan, Charles 70 1981 An analysis of the total least squares problem. Zbl 0468.65011Golub, Gene H.; Van Loan, Charles F. 154 1980 A Hessenberg-Schur method for the problem AX+XB=C. Zbl 0421.65022Golub, Gene H.; Nash, S.; Van Loan, Charles F. 222 1979 Unsymmetric positive definite linear systems. Zbl 0419.65025Golub, Gene H.; Van Loan, Charles F. 11 1979 A note on the evaluation of matrix polynomials. Zbl 0401.65027Van Loan, Charles F. 7 1979 Nineteen dubious ways to compute the exponential of a matrix. Zbl 0395.65012Moler, Cleve; Van Loan, Charles F. 229 1978 Computing integrals involving the matrix exponential. Zbl 0387.65013Van Loan, Charles F. 114 1978 The sensitivity of the matrix exponential. Zbl 0368.65006Van Loan, Charles F. 63 1977 On the limitation and application of Padé approximation to the matrix exponential. Zbl 0383.41011Van Loan, Charles F. 1 1977 Generalizing the singular value decomposition. Zbl 0338.65022Van Loan, Charles F. 139 1976 A general matrix eigenvalue algorithm. Zbl 0321.65023Van Loan, Charles F. 15 1975 all cited Publications top 5 cited Publications all top 5 Cited by 11,035 Authors 86 Wei, Yimin 81 Jódar Sanchez, Lucas Antonio 64 Pan, Victor Yakovlevich 60 Reichel, Lothar 44 Benner, Peter 37 Lin, Wen-Wei 37 Van Dooren, Paul M. 36 Bai, Zhongzhi 36 Mehrmann, Volker 32 Golub, Gene Howard 30 Serra-Capizzano, Stefano 30 Van Barel, Marc 30 Van Huffel, Sabine 26 Li, Rencang 25 Defez, Emilio 25 Kressner, Daniel 25 Wei, Musheng 24 Huang, Ting-Zhu 24 Jbilou, Khalide 24 Ng, Michael Kwok-Po 24 Sadkane, Miloud 23 Jimenez, Juan Carlos 23 Nakatsukasa, Yuji 22 Vandebril, Raf 22 Wu, Gang 21 Li, Zi-Cai 21 Mastronardi, Nicola 20 Jin, Xiaoqing 19 Martínez, José Mario 19 Sastre, Jorge 19 Simoncini, Valeria 18 De Moor, Bart L. R. 18 Faßbender, Heike 18 Jia, Zhongxiao 18 Rojo, Oscar L. 17 Bai, Zhaojun 17 Ding, Feng 17 Evans, David John 17 King-wah Chu, Eric 17 Ma, Changfeng 17 Ponsoda, Enrique 17 Zha, Hongyuan 16 Chien, Cheng-Sheng 16 Dopico, Froilán M. 16 Lin, Yiqin 16 Lu, Linzhang 16 Quintana-Ortí, Enrique S. 16 Sun, Jiguang 16 Ye, Qiang 15 Bini, Dario Andrea 15 Calvetti, Daniela 15 Chu, Delin 15 Dehghan Takht Fooladi, Mehdi 15 Diao, Huaian 15 Hansen, Per Christian 15 Higham, Nicholas J. 15 Miyajima, Shinya 15 Nechepurenko, Yuri M. 15 Plemmons, Robert James 15 Zhang, Zhenyue 14 Ibáñez González, Jacinto Javier 14 Jia, Jiteng 14 Khaliq, Abdul Q. M. 14 Navarro, Enrique A. 14 Qiao, Sanzheng 14 Saad, Yousef 14 Tyrtyshnikov, Evgeniĭ Evgen’evich 14 Xiang, Hua 14 Xu, Hongguo 13 Alonso, Pedro 13 Barlow, Jesse L. 13 Bollt, Erik M. 13 Company, Rafael 13 Hu, Xiyan 13 Huang, Hung-Tsai 13 Júdice, Joaquim João 13 Mitrouli, Marilena 13 Verhaegen, Michel 13 Viloche Bazán, Fermín S. 13 Winkler, Joab R. 12 Bao, Liang 12 Fan, Hung-Yuan 12 Huhtanen, Marko 12 Ipsen, Ilse C. F. 12 Kailath, Thomas 12 Khojasteh Salkuyeh, Davod 12 Mehl, Christian 12 Nagy, James Gerard 12 Rump, Siegfried Michael 12 Sogabe, Tomohiro 12 Stewart, Gilbert Wright 12 Van der Vorst, Henk Albertus 12 Wang, Qingwen 12 Zhang, Lei-Hong 12 Zhang, Lei 11 Benzi, Michele 11 Boley, Daniel L. 11 Bouhamidi, Abderrahman 11 Chu, Moody T. 11 Codenotti, Bruno ...and 10,935 more Authors all top 5 Cited in 582 Serials 844 Linear Algebra and its Applications 545 Journal of Computational and Applied Mathematics 300 Journal of Computational Physics 291 Applied Mathematics and Computation 251 Computers & Mathematics with Applications 189 Computer Methods in Applied Mechanics and Engineering 181 Automatica 176 Applied Numerical Mathematics 163 Numerical Algorithms 160 BIT 140 Numerische Mathematik 137 SIAM Journal on Matrix Analysis and Applications 116 SIAM Journal on Scientific Computing 111 Mathematics of Computation 99 International Journal of Computer Mathematics 88 Computational Statistics and Data Analysis 87 Numerical Linear Algebra with Applications 78 International Journal of Control 72 Systems & Control Letters 71 Computer Physics Communications 71 Pattern Recognition 70 Applied Mathematics Letters 70 Mathematical and Computer Modelling 64 Mathematical Programming. 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Mathematics 16 SIAM Journal on Numerical Analysis 16 Journal of Complexity 16 Neural Computation 15 Journal of Statistical Planning and Inference 15 Japan Journal of Industrial and Applied Mathematics 15 SIAM Review 15 European Journal of Control 15 Computational Geosciences 15 The Annals of Applied Statistics 14 Inverse Problems 14 Journal of Computer and System Sciences 14 Nonlinear Dynamics 14 Foundations of Computational Mathematics 13 Journal of Mathematical Biology 13 Journal of Mathematical Physics 13 Journal of Approximation Theory 13 Kybernetika 13 Statistics & Probability Letters 13 Computers & Operations Research 13 Chaos 13 Stochastic Models 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Frontiers of Mathematics in China 13 Optimization Letters 13 Journal of Theoretical Biology 13 SIAM/ASA Journal on Uncertainty Quantification ...and 482 more Serials all top 5 Cited in 61 Fields 4,595 Numerical analysis (65-XX) 1,707 Linear and multilinear algebra; matrix theory (15-XX) 852 Systems theory; control (93-XX) 707 Statistics (62-XX) 707 Computer science (68-XX) 667 Operations research, mathematical programming (90-XX) 588 Partial differential equations (35-XX) 355 Probability theory and stochastic processes (60-XX) 340 Mechanics of deformable solids (74-XX) 339 Ordinary differential equations (34-XX) 325 Fluid mechanics (76-XX) 310 Information and communication theory, circuits (94-XX) 232 Biology and other natural sciences (92-XX) 196 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 152 Calculus of variations and optimal control; optimization (49-XX) 151 Quantum theory (81-XX) 143 Approximations and expansions (41-XX) 133 Dynamical systems and ergodic theory (37-XX) 131 Operator theory (47-XX) 122 Combinatorics (05-XX) 105 Optics, electromagnetic theory (78-XX) 101 Mechanics of particles and systems (70-XX) 100 Geophysics (86-XX) 87 Harmonic analysis on Euclidean spaces (42-XX) 84 Statistical mechanics, structure of matter (82-XX) 80 Integral equations (45-XX) 68 Special functions (33-XX) 59 Real functions (26-XX) 51 Field theory and polynomials (12-XX) 46 Number theory (11-XX) 44 Classical thermodynamics, heat transfer (80-XX) 41 Functions of a complex variable (30-XX) 33 Algebraic geometry (14-XX) 32 Differential geometry (53-XX) 30 Difference and functional equations (39-XX) 29 Commutative algebra (13-XX) 28 Functional analysis (46-XX) 27 Integral transforms, operational calculus (44-XX) 26 Global analysis, analysis on manifolds (58-XX) 24 Convex and discrete geometry (52-XX) 23 Astronomy and astrophysics (85-XX) 21 Geometry (51-XX) 18 Group theory and generalizations (20-XX) 11 Potential theory (31-XX) 10 General and overarching topics; collections (00-XX) 10 Measure and integration (28-XX) 10 Manifolds and cell complexes (57-XX) 9 History and biography (01-XX) 9 Mathematical logic and foundations (03-XX) 9 Topological groups, Lie groups (22-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Sequences, series, summability (40-XX) 7 Nonassociative rings and algebras (17-XX) 7 Relativity and gravitational theory (83-XX) 5 Associative rings and algebras (16-XX) 5 General topology (54-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Abstract harmonic analysis (43-XX) 2 General algebraic systems (08-XX) 2 Algebraic topology (55-XX) 2 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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