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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 F.; Van Loan, Charles; van Loan, Charles F.
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Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 8,467 times in 7,692 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.
857
1983
Matrix computations. 4th ed. Zbl 1268.65037
Golub, Gene H.; Van Loan, Charles F.
839
2013
Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. Zbl 1030.65029
Moler, Cleve; Van Loan, Charles
425
2003
Nineteen dubious ways to compute the exponential of a matrix. Zbl 0395.65012
Moler, Cleve; Van Loan, Charles F.
240
1978
A Hessenberg-Schur method for the problem AX+XB=C. Zbl 0421.65022
Golub, Gene H.; Nash, S.; Van Loan, Charles F.
238
1979
Computational frameworks for the fast Fourier transform. Zbl 0757.65154
Van Loan, Charles F.
171
1992
An analysis of the total least squares problem. Zbl 0468.65011
Golub, Gene H.; Van Loan, Charles F.
166
1980
Generalizing the singular value decomposition. Zbl 0338.65022
Van Loan, Charles F.
150
1976
Computing integrals involving the matrix exponential. Zbl 0387.65013
Van Loan, Charles F.
125
1978
The ubiquitous Kronecker product. Zbl 0966.65039
Van Loan, Charles F.
113
2000
A Schur decomposition for Hamiltonian matrices. Zbl 1115.15316
Paige, Chris; Van Loan, Charles
73
1981
The sensitivity of the matrix exponential. Zbl 0368.65006
Van Loan, Charles F.
68
1977
Approximation with Kronecker products. Zbl 0813.65078
Van Loan, Charles F.; Pitsianis, N.
67
1993
A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix. Zbl 0565.65018
Van Loan, Charles F.
57
1984
Matrix computations. 3rd ed. Zbl 1118.65316
Golub, Gene; Van Loan, Charles F.
56
2007
A storage-efficient WY representation for products of Householder transformations. Zbl 0664.65025
Schreiber, Robert; Van Loan, Charles F.
43
1989
The WY representation for products of Householder matrices. Zbl 0628.65033
Bischof, Christian; Van Loan, Charles F.
36
1987
On the method of weighting for equality-constrained least-squares problems. Zbl 0584.65015
Van Loan, Charles F.
33
1985
Matrix computations. Paperback ed., 4th printing. Zbl 0592.65011
Golub, Gene H.; Van Loan, Charles F.
26
1985
Computing the CS and the generalized singular value decompositions. Zbl 0548.65020
Van Loan, Charles F.
24
1985
How near is a stable matrix to an unstable matrix? Zbl 0576.15011
Van Loan, Charles F.
23
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 tensor unfoldings. Zbl 1246.15028
Ragnarsson, Stefan; Van Loan, Charles F.
20
2012
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.
17
1989
A general matrix eigenvalue algorithm. Zbl 0321.65023
Van Loan, Charles F.
14
1975
Unsymmetric positive definite linear systems. Zbl 0419.65025
Golub, Gene H.; Van Loan, Charles F.
11
1979
A Jacobi-type method for computing orthogonal tensor decompositions. Zbl 1168.15025
Moravitz Martin, Carla D.; Van Loan, Charles F.
9
2008
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
On estimating the condition of eigenvalues and eigenvectors. Zbl 0631.65030
Van Loan, Charles F.
8
1987
A note on the evaluation of matrix polynomials. Zbl 0401.65027
Van Loan, Charles F.
7
1979
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
Rational matrix functions and rank-1 updates. Zbl 0970.65046
Bernstein, Daniel S.; Van Loan, Charles F.
6
2000
Using the Hessenberg decomposition in control theory. Zbl 0481.93030
Van Loan, Charles F.
6
1982
Shifted Kronecker product systems. Zbl 1141.65021
Moravitz Martin, Carla D.; van Loan, Charles F.
4
2006
Approximating matrices with multiple symmetries. Zbl 1319.65032
Van Loan, Charles F.; Vokt, Joseph P.
4
2015
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
The block Jacobi method for computing the singular value decomposition. Zbl 0611.65020
Van Loan, Charles F.
3
1986
A block QR factorization scheme for loosely coupled systems of array processors. Zbl 0701.65023
Van Loan, Charles F.
2
1988
Algorithm 784: GEMM-based level 3 BLAS: Portability and optimization issues. Zbl 0930.65048
Kågström, Bo; Ling, Per; Van Loan, Charles
2
1998
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
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.
1
1992
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.
4
2015
Matrix computations. 4th ed. Zbl 1268.65037
Golub, Gene H.; Van Loan, Charles F.
839
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.
20
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.
9
2008
Matrix computations. 3rd ed. Zbl 1118.65316
Golub, Gene; Van Loan, Charles F.
56
2007
Shifted Kronecker product systems. Zbl 1141.65021
Moravitz Martin, Carla D.; van Loan, Charles F.
4
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
425
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.
113
2000
Rational matrix functions and rank-1 updates. Zbl 0970.65046
Bernstein, Daniel S.; Van Loan, Charles F.
6
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.
67
1993
Computational frameworks for the fast Fourier transform. Zbl 0757.65154
Van Loan, Charles F.
171
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.
1
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.
43
1989
The strong stability of algorithms for solving symmetric linear systems. Zbl 0687.65021
Bunch, James R.; Demmel, James W.; Van Loan, Charles F.
17
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.
36
1987
On estimating the condition of eigenvalues and eigenvectors. Zbl 0631.65030
Van Loan, Charles F.
8
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
On the method of weighting for equality-constrained least-squares problems. Zbl 0584.65015
Van Loan, Charles F.
33
1985
Matrix computations. Paperback ed., 4th printing. Zbl 0592.65011
Golub, Gene H.; Van Loan, Charles F.
26
1985
Computing the CS and the generalized singular value decompositions. Zbl 0548.65020
Van Loan, Charles F.
24
1985
How near is a stable matrix to an unstable matrix? Zbl 0576.15011
Van Loan, Charles F.
23
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.
57
1984
Matrix computations. Zbl 0559.65011
Golub, Gene H.; Van Loan, Charles F.
857
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
73
1981
An analysis of the total least squares problem. Zbl 0468.65011
Golub, Gene H.; Van Loan, Charles F.
166
1980
A Hessenberg-Schur method for the problem AX+XB=C. Zbl 0421.65022
Golub, Gene H.; Nash, S.; Van Loan, Charles F.
238
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.
240
1978
Computing integrals involving the matrix exponential. Zbl 0387.65013
Van Loan, Charles F.
125
1978
The sensitivity of the matrix exponential. Zbl 0368.65006
Van Loan, Charles F.
68
1977
Generalizing the singular value decomposition. Zbl 0338.65022
Van Loan, Charles F.
150
1976
A general matrix eigenvalue algorithm. Zbl 0321.65023
Van Loan, Charles F.
14
1975
all top 5

Cited by 10,365 Authors

86 Wei, Yimin
70 Jódar Sanchez, Lucas Antonio
67 Reichel, Lothar
63 Pan, Victor Yakovlevich
46 Benner, Peter
35 Bai, Zhongzhi
35 Mehrmann, Volker
33 Van Dooren, Paul M.
32 Lin, Wen-Wei
30 Serra-Capizzano, Stefano
30 Van Barel, Marc
29 Van Huffel, Sabine
28 Golub, Gene Howard
28 Ng, Michael Kwok-Po
27 Jbilou, Khalide
25 Kressner, Daniel
25 Li, Rencang
25 Nakatsukasa, Yuji
25 Wei, Musheng
23 Defez, Emilio
23 Jimenez, Juan Carlos
22 Huang, Ting-Zhu
22 Jin, Xiaoqing
22 Mastronardi, Nicola
22 Sadkane, Miloud
22 Vandebril, Raf
21 Wu, Gang
20 Jia, Zhongxiao
19 Martínez, José Mario
19 Simoncini, Valeria
18 Rojo, Oscar L.
17 De Moor, Bart L. R.
17 Evans, David John
17 Faßbender, Heike
17 Higham, Nicholas J.
17 King-wah Chu, Eric
17 Sastre, Jorge
17 Xiang, Hua
17 Zha, Hongyuan
16 Bai, Zhaojun
16 Chien, Cheng-Sheng
16 Dehghan Takht Fooladi, Mehdi
16 Ding, Feng
16 Lu, Linzhang
16 Miyajima, Shinya
16 Nechepurenko, Yuri M.
15 Calvetti, Daniela
15 Chu, Delin
15 Diao, Huaian
15 Dopico, Froilán M.
15 Ibáñez González, Jacinto Javier
15 Li, Zi-Cai
15 Ma, Changfeng
15 Plemmons, Robert James
15 Sun, Jiguang
15 Tyrtyshnikov, Evgeniĭ Evgen’evich
15 Ye, Qiang
14 Chu, Moody T.
14 Hajarian, Masoud
14 Jia, Jiteng
14 Khaliq, Abdul Q. M.
14 Nagy, James Gerard
14 Quintana-Ortí, Enrique S.
14 Winkler, Joab R.
14 Xu, Hongguo
14 Zhang, Zhenyue
13 Alonso, Pedro
13 Bini, Dario Andrea
13 Dai, Hua
13 De Lathauwer, Lieven
13 Hansen, Per Christian
13 Peña, Juan Manuel
13 Ponsoda, Enrique
13 Qi, Liqun
13 Qiao, Sanzheng
13 Viloche Bazán, Fermín S.
13 Zhang, Lei-Hong
12 Barlow, Jesse L.
12 Bouhamidi, Abderrahman
12 Darve, Eric
12 Fan, Hung-Yuan
12 Hochstenbach, Michiel E.
12 Hu, Xiyan
12 Huang, Hung-Tsai
12 Huhtanen, Marko
12 Ipsen, Ilse C. F.
12 Júdice, Joaquim João
12 Khojasteh Salkuyeh, Davod
12 Kürschner, Patrick
12 Lin, Yiqin
12 Mehl, Christian
12 Mitrouli, Marilena
12 Navarro, Enrique A.
12 Nordström, Jan
12 Rump, Siegfried Michael
12 Saad, Yousef
12 Sogabe, Tomohiro
12 Stewart, Gilbert Wright
12 Wang, Qingwen
12 Wang, Xiang
...and 10,265 more Authors
all top 5

Cited in 620 Serials

772 Linear Algebra and its Applications
511 Journal of Computational and Applied Mathematics
267 Applied Mathematics and Computation
260 Journal of Computational Physics
228 Computers & Mathematics with Applications
182 Numerical Algorithms
168 Computer Methods in Applied Mechanics and Engineering
164 BIT
156 Applied Numerical Mathematics
151 SIAM Journal on Matrix Analysis and Applications
144 Automatica
144 Numerische Mathematik
132 SIAM Journal on Scientific Computing
112 Mathematics of Computation
101 International Journal of Computer Mathematics
87 Numerical Linear Algebra with Applications
80 Computational Statistics and Data Analysis
79 International Journal of Control
68 Journal of Scientific Computing
64 Mathematical Programming. Series A. Series B
62 Systems & Control Letters
61 Applied Mathematics Letters
58 Mathematical and Computer Modelling
54 Computational Optimization and Applications
49 Computer Physics Communications
49 Pattern Recognition
48 Calcolo
43 Optimization Methods & Software
42 Mathematical Problems in Engineering
41 Linear and Multilinear Algebra
41 Computing
40 International Journal for Numerical Methods in Engineering
40 Journal of Optimization Theory and Applications
40 Advances in Computational Mathematics
40 Engineering Analysis with Boundary Elements
38 Signal Processing
35 Journal of the Franklin Institute
35 Circuits, Systems, and Signal Processing
33 Applied Mathematical Modelling
32 Mathematics and Computers in Simulation
32 European Journal of Operational Research
32 SIAM Journal on Optimization
32 Computational and Applied Mathematics
31 Journal of Mathematical Analysis and Applications
31 Theoretical Computer Science
29 Journal of Economic Dynamics & Control
28 Journal of Econometrics
28 Applied and Computational Harmonic Analysis
27 The Annals of Statistics
26 Computer Aided Geometric Design
25 Computational Mechanics
25 Multidimensional Systems and Signal Processing
25 Machine Learning
25 Journal of Mathematical Imaging and Vision
23 Information Sciences
23 Automation and Remote Control
23 Statistics and Computing
22 Physica D
22 Neural Networks
22 Journal of Statistical Computation and Simulation
22 Parallel Algorithms and Applications
21 Journal of Multivariate Analysis
21 SIAM Review
21 SIAM Journal on Imaging Sciences
20 Numerical Functional Analysis and Optimization
20 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
19 International Journal of Systems Science
19 Neural Computation
19 International Journal of Computer Vision
18 Computers and Fluids
18 Annals of Operations Research
18 Journal of Global Optimization
18 Journal of Applied Mathematics and Computing
18 Science China. Mathematics
17 International Journal for Numerical Methods in Fluids
17 SIAM Journal on Numerical Analysis
16 Journal of Mathematical Physics
16 Journal of Complexity
16 Japan Journal of Industrial and Applied Mathematics
15 ELA. The Electronic Journal of Linear Algebra
15 Computational Geosciences
15 Foundations of Computational Mathematics
15 Journal of Machine Learning Research (JMLR)
15 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
15 The Annals of Applied Statistics
14 Inverse Problems
14 Journal of Statistical Planning and Inference
14 Computational Statistics
14 European Journal of Control
14 Nonlinear Dynamics
14 Stochastic Models
14 Frontiers of Mathematics in China
14 Electronic Journal of Statistics
14 SIAM/ASA Journal on Uncertainty Quantification
13 Mathematical Biosciences
13 Kybernetika
13 MCSS. Mathematics of Control, Signals, and Systems
13 Communications in Statistics. Theory and Methods
13 Optimization Letters
12 Journal of Mathematical Biology
...and 520 more Serials
all top 5

Cited in 61 Fields

4,570 Numerical analysis (65-XX)
1,745 Linear and multilinear algebra; matrix theory (15-XX)
808 Systems theory; control (93-XX)
748 Statistics (62-XX)
688 Operations research, mathematical programming (90-XX)
676 Computer science (68-XX)
568 Partial differential equations (35-XX)
356 Probability theory and stochastic processes (60-XX)
325 Ordinary differential equations (34-XX)
315 Fluid mechanics (76-XX)
306 Mechanics of deformable solids (74-XX)
302 Information and communication theory, circuits (94-XX)
225 Biology and other natural sciences (92-XX)
189 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
152 Calculus of variations and optimal control; optimization (49-XX)
142 Approximations and expansions (41-XX)
134 Operator theory (47-XX)
132 Quantum theory (81-XX)
129 Dynamical systems and ergodic theory (37-XX)
128 Combinatorics (05-XX)
99 Mechanics of particles and systems (70-XX)
99 Geophysics (86-XX)
97 Optics, electromagnetic theory (78-XX)
84 Harmonic analysis on Euclidean spaces (42-XX)
75 Integral equations (45-XX)
74 Statistical mechanics, structure of matter (82-XX)
69 Special functions (33-XX)
58 Real functions (26-XX)
50 Number theory (11-XX)
45 Field theory and polynomials (12-XX)
37 Classical thermodynamics, heat transfer (80-XX)
36 Differential geometry (53-XX)
35 Functions of a complex variable (30-XX)
35 Functional analysis (46-XX)
32 Algebraic geometry (14-XX)
31 Difference and functional equations (39-XX)
30 Commutative algebra (13-XX)
28 Global analysis, analysis on manifolds (58-XX)
27 Integral transforms, operational calculus (44-XX)
22 Convex and discrete geometry (52-XX)
22 Astronomy and astrophysics (85-XX)
21 Geometry (51-XX)
18 Group theory and generalizations (20-XX)
14 Manifolds and cell complexes (57-XX)
12 Potential theory (31-XX)
11 Topological groups, Lie groups (22-XX)
11 Measure and integration (28-XX)
9 History and biography (01-XX)
9 Mathematical logic and foundations (03-XX)
9 Several complex variables and analytic spaces (32-XX)
7 General and overarching topics; collections (00-XX)
7 Nonassociative rings and algebras (17-XX)
7 Sequences, series, summability (40-XX)
6 General topology (54-XX)
6 Relativity and gravitational theory (83-XX)
5 Associative rings and algebras (16-XX)
5 Abstract harmonic analysis (43-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
2 General algebraic systems (08-XX)
2 Algebraic topology (55-XX)
2 Mathematics education (97-XX)

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