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Van Loan, Charles Francis

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Author ID: van-loan.charles-f Recent zbMATH articles by "Van Loan, Charles Francis"
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

Publications by Year

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 0865.65009
Golub, Gene; Van Loan, Charles F.
1996
Matrix computations. 2nd ed. Zbl 0733.65016
Golub, Gene H.; Van Loan, Charles F.
1989
Matrix computations. Zbl 0559.65011
Golub, Gene H.; Van Loan, Charles F.
934
1983
Matrix computations. 4th ed. Zbl 1268.65037
Golub, Gene H.; Van Loan, Charles F.
680
2013
Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. Zbl 1030.65029
Moler, Cleve; Van Loan, Charles
376
2003
Nineteen dubious ways to compute the exponential of a matrix. Zbl 0395.65012
Moler, Cleve; Van Loan, Charles F.
229
1978
A Hessenberg-Schur method for the problem AX+XB=C. Zbl 0421.65022
Golub, Gene H.; Nash, S.; Van Loan, Charles F.
222
1979
Matrix computations. 3rd ed. Zbl 1118.65316
Golub, Gene; Van Loan, Charles F.
220
2007
Computational frameworks for the fast Fourier transform. Zbl 0757.65154
Van Loan, Charles F.
166
1992
An analysis of the total least squares problem. Zbl 0468.65011
Golub, Gene H.; Van Loan, Charles F.
154
1980
Generalizing the singular value decomposition. Zbl 0338.65022
Van Loan, Charles F.
139
1976
Computing integrals involving the matrix exponential. Zbl 0387.65013
Van Loan, Charles F.
114
1978
The ubiquitous Kronecker product. Zbl 0966.65039
Van Loan, Charles F.
102
2000
A Schur decomposition for Hamiltonian matrices. Zbl 1115.15316
Paige, Chris; Van Loan, Charles
70
1981
The sensitivity of the matrix exponential. Zbl 0368.65006
Van Loan, Charles F.
63
1977
Approximation with Kronecker products. Zbl 0813.65078
Van Loan, Charles F.; Pitsianis, N.
60
1993
A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix. Zbl 0565.65018
Van Loan, Charles F.
52
1984
A storage-efficient WY representation for products of Householder transformations. Zbl 0664.65025
Schreiber, Robert; Van Loan, Charles F.
40
1989
The WY representation for products of Householder matrices. Zbl 0628.65033
Bischof, Christian; Van Loan, Charles F.
35
1987
Matrix computations. Paperback ed., 4th printing. Zbl 0592.65011
Golub, Gene H.; Van Loan, Charles F.
32
1985
On the method of weighting for equality-constrained least-squares problems. Zbl 0584.65015
Van Loan, Charles F.
31
1985
How near is a stable matrix to an unstable matrix? Zbl 0576.15011
Van Loan, Charles F.
28
1985
Computing the CS and the generalized singular value decompositions. Zbl 0548.65020
Van Loan, Charles F.
22
1985
Computing the minimum eigenvalue of a symmetric positive definite Toeplitz matrix. Zbl 0626.65030
Cybenko, George; van Loan, Charles F.
21
1986
Computation of the singular value decomposition using mesh-connected processors. Zbl 0597.65029
Brent, Richard P.; Luk, Franklin T.; Van Loan, Charles F.
21
1985
Block tensors and symmetric embeddings. Zbl 1390.15082
Ragnarsson, Stefan; Van Loan, Charles F.
19
2013
The strong stability of algorithms for solving symmetric linear systems. Zbl 0687.65021
Bunch, James R.; Demmel, James W.; Van Loan, Charles F.
16
1989
Block tensor unfoldings. Zbl 1246.15028
Ragnarsson, Stefan; Van Loan, Charles F.
15
2012
A general matrix eigenvalue algorithm. Zbl 0321.65023
Van Loan, Charles F.
15
1975
Unsymmetric positive definite linear systems. Zbl 0419.65025
Golub, Gene H.; Van Loan, Charles F.
11
1979
GEMM-based level 3 BLAS: High-performance model implementations and performance evaluation benchmark. Zbl 0930.65047
Kågström, Bo; Ling, Per; Van Loan, Charles
9
1998
A Jacobi-type method for computing orthogonal tensor decompositions. Zbl 1168.15025
Moravitz Martin, Carla D.; Van Loan, Charles F.
8
2008
From random polygon to ellipse: An eigenanalysis. Zbl 1187.65033
Elmachtoub, Adam N.; Van Loan, Charles F.
7
2010
Handbook for matrix computations. Zbl 0681.65009
Coleman, Thomas F.; Van Loan, Charles F.
7
1988
A note on the evaluation of matrix polynomials. Zbl 0401.65027
Van Loan, Charles F.
7
1979
On estimating the condition of eigenvalues and eigenvectors. Zbl 0631.65030
Van Loan, Charles F.
6
1987
Using the Hessenberg decomposition in control theory. Zbl 0481.93030
Van Loan, Charles F.
6
1982
Rational matrix functions and rank-1 updates. Zbl 0970.65046
Bernstein, Daniel S.; Van Loan, Charles F.
5
2000
Structured matrix problems from tensors. Zbl 1361.65024
Van Loan, Charles F.
4
2016
Generalizing the LINPACK condition estimator. Zbl 0532.65032
Cline, Alan K.; Conn, Andrew R.; Van Loan, Charles F.
4
1982
Approximating matrices with multiple symmetries. Zbl 1319.65032
Van Loan, Charles F.; Vokt, Joseph P.
3
2015
Shifted Kronecker product systems. Zbl 1141.65021
Moravitz Martin, Carla D.; van Loan, Charles F.
3
2006
The block Jacobi method for computing the singular value decomposition. Zbl 0611.65020
Van Loan, Charles F.
3
1986
Algorithm 784: GEMM-based level 3 BLAS: Portability and optimization issues. Zbl 0930.65048
Kågström, Bo; Ling, Per; Van Loan, Charles
2
1998
Design and evaluation of parallel block algorithms: LU factorization on an IBM 3090 VF/600J. Zbl 0788.65027
Dackland, Krister; Elmroth, Erik; Kågström, Bo; Van Loan, Charles F.
2
1992
A block QR factorization scheme for loosely coupled systems of array processors. Zbl 0701.65023
Van Loan, Charles F.
2
1988
Solving real linear systems with the complex Schur decomposition. Zbl 1144.65019
Moravitz Martin, Carla D.; Van Loan, Charles F.
1
2006
Product triangular systems with shift. Zbl 1013.65024
Moravitz Martin, Carla D.; Van Loan, Charles F.
1
2002
A generalized SVD analysis of some weighting methods for equality constrained least squares. Zbl 0515.65034
Van Loan, Charles F.
1
1983
On the limitation and application of Padé approximation to the matrix exponential. Zbl 0383.41011
Van Loan, Charles F.
1
1977
Structured matrix problems from tensors. Zbl 1361.65024
Van Loan, Charles F.
4
2016
Approximating matrices with multiple symmetries. Zbl 1319.65032
Van Loan, Charles F.; Vokt, Joseph P.
3
2015
Matrix computations. 4th ed. Zbl 1268.65037
Golub, Gene H.; Van Loan, Charles F.
680
2013
Block tensors and symmetric embeddings. Zbl 1390.15082
Ragnarsson, Stefan; Van Loan, Charles F.
19
2013
Block tensor unfoldings. Zbl 1246.15028
Ragnarsson, Stefan; Van Loan, Charles F.
15
2012
From random polygon to ellipse: An eigenanalysis. Zbl 1187.65033
Elmachtoub, Adam N.; Van Loan, Charles F.
7
2010
A Jacobi-type method for computing orthogonal tensor decompositions. Zbl 1168.15025
Moravitz Martin, Carla D.; Van Loan, Charles F.
8
2008
Matrix computations. 3rd ed. Zbl 1118.65316
Golub, Gene; Van Loan, Charles F.
220
2007
Shifted Kronecker product systems. Zbl 1141.65021
Moravitz Martin, Carla D.; van Loan, Charles F.
3
2006
Solving real linear systems with the complex Schur decomposition. Zbl 1144.65019
Moravitz Martin, Carla D.; Van Loan, Charles F.
1
2006
Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. Zbl 1030.65029
Moler, Cleve; Van Loan, Charles
376
2003
Product triangular systems with shift. Zbl 1013.65024
Moravitz Martin, Carla D.; Van Loan, Charles F.
1
2002
The ubiquitous Kronecker product. Zbl 0966.65039
Van Loan, Charles F.
102
2000
Rational matrix functions and rank-1 updates. Zbl 0970.65046
Bernstein, Daniel S.; Van Loan, Charles F.
5
2000
GEMM-based level 3 BLAS: High-performance model implementations and performance evaluation benchmark. Zbl 0930.65047
Kågström, Bo; Ling, Per; Van Loan, Charles
9
1998
Algorithm 784: GEMM-based level 3 BLAS: Portability and optimization issues. Zbl 0930.65048
Kågström, Bo; Ling, Per; Van Loan, Charles
2
1998
Matrix computations. 3rd ed. Zbl 0865.65009
Golub, Gene; Van Loan, Charles F.
1996
Approximation with Kronecker products. Zbl 0813.65078
Van Loan, Charles F.; Pitsianis, N.
60
1993
Computational frameworks for the fast Fourier transform. Zbl 0757.65154
Van Loan, Charles F.
166
1992
Design and evaluation of parallel block algorithms: LU factorization on an IBM 3090 VF/600J. Zbl 0788.65027
Dackland, Krister; Elmroth, Erik; Kågström, Bo; Van Loan, Charles F.
2
1992
Matrix computations. 2nd ed. Zbl 0733.65016
Golub, Gene H.; Van Loan, Charles F.
1989
A storage-efficient WY representation for products of Householder transformations. Zbl 0664.65025
Schreiber, Robert; Van Loan, Charles F.
40
1989
The strong stability of algorithms for solving symmetric linear systems. Zbl 0687.65021
Bunch, James R.; Demmel, James W.; Van Loan, Charles F.
16
1989
Handbook for matrix computations. Zbl 0681.65009
Coleman, Thomas F.; Van Loan, Charles F.
7
1988
A block QR factorization scheme for loosely coupled systems of array processors. Zbl 0701.65023
Van Loan, Charles F.
2
1988
The WY representation for products of Householder matrices. Zbl 0628.65033
Bischof, Christian; Van Loan, Charles F.
35
1987
On estimating the condition of eigenvalues and eigenvectors. Zbl 0631.65030
Van Loan, Charles F.
6
1987
Computing the minimum eigenvalue of a symmetric positive definite Toeplitz matrix. Zbl 0626.65030
Cybenko, George; van Loan, Charles F.
21
1986
The block Jacobi method for computing the singular value decomposition. Zbl 0611.65020
Van Loan, Charles F.
3
1986
Matrix computations. Paperback ed., 4th printing. Zbl 0592.65011
Golub, Gene H.; Van Loan, Charles F.
32
1985
On the method of weighting for equality-constrained least-squares problems. Zbl 0584.65015
Van Loan, Charles F.
31
1985
How near is a stable matrix to an unstable matrix? Zbl 0576.15011
Van Loan, Charles F.
28
1985
Computing the CS and the generalized singular value decompositions. Zbl 0548.65020
Van Loan, Charles F.
22
1985
Computation of the singular value decomposition using mesh-connected processors. Zbl 0597.65029
Brent, Richard P.; Luk, Franklin T.; Van Loan, Charles F.
21
1985
A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix. Zbl 0565.65018
Van Loan, Charles F.
52
1984
Matrix computations. Zbl 0559.65011
Golub, Gene H.; Van Loan, Charles F.
934
1983
A generalized SVD analysis of some weighting methods for equality constrained least squares. Zbl 0515.65034
Van Loan, Charles F.
1
1983
Using the Hessenberg decomposition in control theory. Zbl 0481.93030
Van Loan, Charles F.
6
1982
Generalizing the LINPACK condition estimator. Zbl 0532.65032
Cline, Alan K.; Conn, Andrew R.; Van Loan, Charles F.
4
1982
A Schur decomposition for Hamiltonian matrices. Zbl 1115.15316
Paige, Chris; Van Loan, Charles
70
1981
An analysis of the total least squares problem. Zbl 0468.65011
Golub, Gene H.; Van Loan, Charles F.
154
1980
A Hessenberg-Schur method for the problem AX+XB=C. Zbl 0421.65022
Golub, Gene H.; Nash, S.; Van Loan, Charles F.
222
1979
Unsymmetric positive definite linear systems. Zbl 0419.65025
Golub, Gene H.; Van Loan, Charles F.
11
1979
A note on the evaluation of matrix polynomials. Zbl 0401.65027
Van Loan, Charles F.
7
1979
Nineteen dubious ways to compute the exponential of a matrix. Zbl 0395.65012
Moler, Cleve; Van Loan, Charles F.
229
1978
Computing integrals involving the matrix exponential. Zbl 0387.65013
Van Loan, Charles F.
114
1978
The sensitivity of the matrix exponential. Zbl 0368.65006
Van Loan, Charles F.
63
1977
On the limitation and application of Padé approximation to the matrix exponential. Zbl 0383.41011
Van Loan, Charles F.
1
1977
Generalizing the singular value decomposition. Zbl 0338.65022
Van Loan, Charles F.
139
1976
A general matrix eigenvalue algorithm. Zbl 0321.65023
Van Loan, Charles F.
15
1975
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. Series A. Series B
57 Journal of Scientific Computing
51 Engineering Analysis with Boundary Elements
47 Computational Optimization and Applications
43 Journal of the Franklin Institute
42 Calcolo
42 Mathematical Problems in Engineering
42 Optimization Methods & Software
41 Computing
41 Theoretical Computer Science
40 International Journal for Numerical Methods in Engineering
39 Journal of Optimization Theory and Applications
39 Signal Processing
38 Linear and Multilinear Algebra
38 Mathematics and Computers in Simulation
38 Applied and Computational Harmonic Analysis
36 Applied Mathematical Modelling
35 Circuits, Systems, and Signal Processing
34 Computer Aided Geometric Design
33 Journal of Mathematical Analysis and Applications
33 European Journal of Operational Research
33 Advances in Computational Mathematics
31 Physica D
30 SIAM Journal on Optimization
29 Neural Networks
28 Journal of Econometrics
27 The Annals of Statistics
27 Journal of Economic Dynamics & Control
25 Multidimensional Systems and Signal Processing
24 Journal of Multivariate Analysis
23 Computers and Fluids
23 Automation and Remote Control
22 Information Sciences
22 Computational Mechanics
22 Journal of Statistical Computation and Simulation
22 Parallel Algorithms and Applications
20 Numerical Functional Analysis and Optimization
20 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
20 Computational and Applied Mathematics
20 Statistics and Computing
19 International Journal of Systems Science
19 Journal of Symbolic Computation
19 Journal of Mathematical Imaging and Vision
19 SIAM Journal on Imaging Sciences
18 Mathematical Biosciences
18 Machine Learning
17 International Journal for Numerical Methods in Fluids
17 Annals of Operations Research
17 Journal of Global Optimization
17 Journal of Applied Mathematics and Computing
17 Science China. 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

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