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Ruhe, Axel (b. 1942 d. 2015)

Author ID: ruhe.axel Recent zbMATH articles by "Ruhe, Axel"
Published as: Ruhe, Axel; Ruhe, A.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 44 Publications since 1967
3 Contributions as Editor
Reviewing Activity: 188 Reviews
Biographic References: 1 Publication
Co-Authors: 20 Co-Authors with 16 Joint Publications
870 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 1,308 times in 996 Documents Cited by Year
Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058
368
2000
Rational Krylov sequence methods for eigenvalue computation. Zbl 0554.65025
Ruhe, Axel
104
1984
Algorithms for the nonlinear eigenvalue problem. Zbl 0261.65032
Ruhe, Axel
97
1973
The spectral transformation Lanczos method for the numerical solution of large sparse generalized symmetric eigenvalue problems. Zbl 0468.65021
Ericsson, Thomas; Ruhe, Axel
82
1980
The collinearity problem in linear regression. The partial least squares (PLS) approach to generalized inverses. Zbl 0545.62044
Wold, S.; Ruhe, A.; Wold, H.; Dunn, W. J. III
60
1984
Algorithms for separable nonlinear least squares problems. Zbl 0466.65039
Ruhe, Axel; Wedin, Per Ake
59
1980
Rational Krylov: A practical algorithm for large sparse nonsymmetric matrix pencils. Zbl 0914.65036
Ruhe, Axel
59
1998
The rational Krylov algorithm for nonsymmetric eigenvalue problems. III: Complex shifts for real matrices. Zbl 0810.65032
Ruhe, Axel
45
1994
An algorithm for numerical computation of the Jordan normal form of a complex matrix. Zbl 0434.65020
Kagström, Bo; Ruhe, Axel
43
1980
Rational Krylov algorithms for nonsymmetric eigenvalue problems. II: Matrix pairs. Zbl 0810.65031
Ruhe, Axel
37
1994
Implementation aspects of band Lanczos algorithms for computation of eigenvalues of large sparse symmetric matrices. Zbl 0443.65022
Ruhe, Axel
28
1979
Numerical aspects of Gram-Schmidt orthogonalization of vectors. Zbl 0515.65036
Ruhe, Axel
26
1983
Properties of a matrix with a very ill-conditioned eigenproblem. Zbl 0184.37704
Ruhe, A.
24
1970
Closest normal matrix finally found. Zbl 0636.15017
Ruhe, Axel
22
1987
Rational Krylov algorithms for nonsymmetric eigenvalue problems. Zbl 0803.65045
Ruhe, Axel
22
1994
An algorithm for numerical determination of the structure of a general matrix. Zbl 0255.65023
Ruhe, Axel
21
1970
The two-sided Arnoldi algorithm for nonsymmetric eigenvalue problems. Zbl 0502.65022
Ruhe, Axel
17
1983
A new algorithm for numerical path following applied to an example from hydrodynamical flow. Zbl 0724.65051
Huitfeldt, Jacques; Ruhe, Axel
17
1990
Perturbation bounds for means of eigenvalues and invariant subspaces. Zbl 0208.18302
Ruhe, A.
16
1970
Fitting empirical data by positive sums of exponentials. Zbl 0455.65009
Ruhe, Axel
15
1980
The method of conjugate gradients used in inverse iteration. Zbl 0266.65033
Ruhe, Axel; Wiberg, Torbjörn
15
1972
SOR-methods for the eigenvalue problem with large sparse matrices. Zbl 0304.65027
Ruhe, Axel
14
1974
On the quadratic convergence of the Jacobi method for normal matrices. Zbl 0159.20503
Ruhe, A.
13
1967
On the closeness of eigenvalues and singular values for almost normal matrices. Zbl 0313.65030
Ruhe, Axel
11
1975
Rational Krylov for eigenvalue computation and model order reduction. Zbl 1105.65036
Olsson, K. Henrik A.; Ruhe, Axel
11
2006
Iterative eigenvalue algorithms based on convergent splittings. Zbl 0324.65014
Ruhe, Axel
10
1975
On the quadratic convergence of a generalization of the Jacobi method to arbitrary matrices. Zbl 0177.43002
Ruhe, A.
9
1968
Iterative eigenvalue algorithms for large symmetric matrices. Zbl 0296.65016
Ruhe, A.
8
1974
Accelerated Gauss-Newton algorithms for nonlinear least squares problems. Zbl 0435.65062
Ruhe, Axel
7
1979
The rational Krylov algorithm for nonlinear matrix eigenvalue problems. Zbl 1029.65035
Ruhe, A.
7
2000
Algorithm 560: JNF, an algorithm for numerical computation of the Jordan normal form of a complex matrix \([F2]\). Zbl 0434.65021
Kagström, Bo; Ruhe, Axel
6
1980
Lanczos algorithms and field of value rotations for symmetric matrix pencils. Zbl 0623.65047
Ericsson, Thomas; Ruhe, Axel
6
1987
Matrix pencils. Proceedings of a Conference Held at Pite Havsbad, Sweden, March 22-24, 1982. Zbl 0491.00017
5
1983
Computation of eigenvalues and eigenvectors. Zbl 0355.65024
Ruhe, Axel
5
1977
Computing nonlinear eigenvalues with spectral transformation Arnoldi. Zbl 0886.65055
Ruhe, Axel
3
1996
Rational Krylov for real pencils with complex eigenvalues. Zbl 1198.65073
Ruhe, Axel
3
2010
Numerical path following and eigenvalue criteria for branch switching. Zbl 0609.65040
Zhou, Yong Feng; Ruhe, Axel
3
1986
The norm of a matrix after a similarity transformation. Zbl 0174.46801
Ruhe, A.
3
1969
Complex formation constants. A problem from solution chemistry. Zbl 0611.92032
Andersson, L.; Holmström, K.; Ruhe, A.
2
1987
A Krylov subspace method for information retrieval. Zbl 1101.68024
Blom, Katarina; Ruhe, Axel
2
2005
The relation between the Jacobi algorithm and inverse iteration and a Jacobi algorithm based on elementary reflections. Zbl 0435.65029
Ruhe, Axel
1
1980
Fitting empirical data by positive sums of exponentials. Zbl 0438.65022
Ruhe, A.
1
1980
Algorithms for the nonlinear eigenvalue problem. Zbl 0232.65032
Ruhe, Axel
1
1972
Rational Krylov for real pencils with complex eigenvalues. Zbl 1198.65073
Ruhe, Axel
3
2010
Rational Krylov for eigenvalue computation and model order reduction. Zbl 1105.65036
Olsson, K. Henrik A.; Ruhe, Axel
11
2006
A Krylov subspace method for information retrieval. Zbl 1101.68024
Blom, Katarina; Ruhe, Axel
2
2005
Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058
368
2000
The rational Krylov algorithm for nonlinear matrix eigenvalue problems. Zbl 1029.65035
Ruhe, A.
7
2000
Rational Krylov: A practical algorithm for large sparse nonsymmetric matrix pencils. Zbl 0914.65036
Ruhe, Axel
59
1998
Computing nonlinear eigenvalues with spectral transformation Arnoldi. Zbl 0886.65055
Ruhe, Axel
3
1996
The rational Krylov algorithm for nonsymmetric eigenvalue problems. III: Complex shifts for real matrices. Zbl 0810.65032
Ruhe, Axel
45
1994
Rational Krylov algorithms for nonsymmetric eigenvalue problems. II: Matrix pairs. Zbl 0810.65031
Ruhe, Axel
37
1994
Rational Krylov algorithms for nonsymmetric eigenvalue problems. Zbl 0803.65045
Ruhe, Axel
22
1994
A new algorithm for numerical path following applied to an example from hydrodynamical flow. Zbl 0724.65051
Huitfeldt, Jacques; Ruhe, Axel
17
1990
Closest normal matrix finally found. Zbl 0636.15017
Ruhe, Axel
22
1987
Lanczos algorithms and field of value rotations for symmetric matrix pencils. Zbl 0623.65047
Ericsson, Thomas; Ruhe, Axel
6
1987
Complex formation constants. A problem from solution chemistry. Zbl 0611.92032
Andersson, L.; Holmström, K.; Ruhe, A.
2
1987
Numerical path following and eigenvalue criteria for branch switching. Zbl 0609.65040
Zhou, Yong Feng; Ruhe, Axel
3
1986
Rational Krylov sequence methods for eigenvalue computation. Zbl 0554.65025
Ruhe, Axel
104
1984
The collinearity problem in linear regression. The partial least squares (PLS) approach to generalized inverses. Zbl 0545.62044
Wold, S.; Ruhe, A.; Wold, H.; Dunn, W. J. III
60
1984
Numerical aspects of Gram-Schmidt orthogonalization of vectors. Zbl 0515.65036
Ruhe, Axel
26
1983
The two-sided Arnoldi algorithm for nonsymmetric eigenvalue problems. Zbl 0502.65022
Ruhe, Axel
17
1983
Matrix pencils. Proceedings of a Conference Held at Pite Havsbad, Sweden, March 22-24, 1982. Zbl 0491.00017
5
1983
The spectral transformation Lanczos method for the numerical solution of large sparse generalized symmetric eigenvalue problems. Zbl 0468.65021
Ericsson, Thomas; Ruhe, Axel
82
1980
Algorithms for separable nonlinear least squares problems. Zbl 0466.65039
Ruhe, Axel; Wedin, Per Ake
59
1980
An algorithm for numerical computation of the Jordan normal form of a complex matrix. Zbl 0434.65020
Kagström, Bo; Ruhe, Axel
43
1980
Fitting empirical data by positive sums of exponentials. Zbl 0455.65009
Ruhe, Axel
15
1980
Algorithm 560: JNF, an algorithm for numerical computation of the Jordan normal form of a complex matrix \([F2]\). Zbl 0434.65021
Kagström, Bo; Ruhe, Axel
6
1980
The relation between the Jacobi algorithm and inverse iteration and a Jacobi algorithm based on elementary reflections. Zbl 0435.65029
Ruhe, Axel
1
1980
Fitting empirical data by positive sums of exponentials. Zbl 0438.65022
Ruhe, A.
1
1980
Implementation aspects of band Lanczos algorithms for computation of eigenvalues of large sparse symmetric matrices. Zbl 0443.65022
Ruhe, Axel
28
1979
Accelerated Gauss-Newton algorithms for nonlinear least squares problems. Zbl 0435.65062
Ruhe, Axel
7
1979
Computation of eigenvalues and eigenvectors. Zbl 0355.65024
Ruhe, Axel
5
1977
On the closeness of eigenvalues and singular values for almost normal matrices. Zbl 0313.65030
Ruhe, Axel
11
1975
Iterative eigenvalue algorithms based on convergent splittings. Zbl 0324.65014
Ruhe, Axel
10
1975
SOR-methods for the eigenvalue problem with large sparse matrices. Zbl 0304.65027
Ruhe, Axel
14
1974
Iterative eigenvalue algorithms for large symmetric matrices. Zbl 0296.65016
Ruhe, A.
8
1974
Algorithms for the nonlinear eigenvalue problem. Zbl 0261.65032
Ruhe, Axel
97
1973
The method of conjugate gradients used in inverse iteration. Zbl 0266.65033
Ruhe, Axel; Wiberg, Torbjörn
15
1972
Algorithms for the nonlinear eigenvalue problem. Zbl 0232.65032
Ruhe, Axel
1
1972
Properties of a matrix with a very ill-conditioned eigenproblem. Zbl 0184.37704
Ruhe, A.
24
1970
An algorithm for numerical determination of the structure of a general matrix. Zbl 0255.65023
Ruhe, Axel
21
1970
Perturbation bounds for means of eigenvalues and invariant subspaces. Zbl 0208.18302
Ruhe, A.
16
1970
The norm of a matrix after a similarity transformation. Zbl 0174.46801
Ruhe, A.
3
1969
On the quadratic convergence of a generalization of the Jacobi method to arbitrary matrices. Zbl 0177.43002
Ruhe, A.
9
1968
On the quadratic convergence of the Jacobi method for normal matrices. Zbl 0159.20503
Ruhe, A.
13
1967
all top 5

Cited by 1,456 Authors

16 Lin, Wen-Wei
16 Reichel, Lothar
15 Jia, Zhongxiao
15 Nakatsukasa, Yuji
15 Ruhe, Axel
13 Jarlebring, Elias
13 Simoncini, Valeria
12 Güttel, Stefan
11 Mehrmann, Volker
11 Wei, Yimin
10 Bai, Zhaojun
10 Román, Jose E.
10 Wu, Gang
10 Ye, Qiang
9 Benner, Peter
9 Meerbergen, Karl
8 Demmel, James Weldon
8 Jbilou, Khalide
8 Kürschner, Patrick
8 Li, Rencang
8 Van Dooren, Paul M.
8 Wang, Weichung
8 Zhang, Lei-Hong
7 Neymeyr, Klaus
7 Noschese, Silvia
7 Solov’ëv, Sergeĭ Ivanovich
7 Tisseur, Françoise
7 Vandebril, Raf
6 Baglama, James
6 Druskin, Vladimir
6 Huang, Tsungming
6 Kressner, Daniel
6 Miao, Cun-Qiang
6 Morgan, Ronald B.
6 Nechepurenko, Yuri M.
6 Petkov, Petko Hr.
5 Arbenz, Peter
5 Higham, Nicholas J.
5 Huang, Weiqiang
5 Hwang, Tsung-Min
5 Liu, Jinn-Liang
5 Pan, Victor Yakovlevich
5 Pini, Giorgio
5 Saad, Yousef
5 Sartoretto, Flavio
5 Schmid, Peter Joseph
5 Sogabe, Tomohiro
5 Spence, Alastair
5 Vasconcelos, Paulo Beleza
5 Voss, Heinrich
5 Wang, Li
5 Yin, Guojian
5 Zhou, Ming
4 Abdel-Aziz, Mohammedi R.
4 Aishima, Kensuke
4 Alam, Rafikul
4 Bentbib, Abdeslem Hafid
4 Calvetti, Daniela
4 Campos, Carmen
4 Chu, Moody T.
4 Eldén, Lars
4 Freund, Roland W.
4 Gambolati, Giuseppe
4 Gemignani, Luca
4 Grimm, Volker
4 Gugercin, Serkan
4 Hashimoto, Yuka
4 Henningson, Dan S.
4 Hetmaniuk, Ulrich L.
4 Huhtanen, Marko
4 Jódar Sanchez, Lucas Antonio
4 Knyazev, Andrew V.
4 Marques, Osni A.
4 Martin, Clyde Franklin
4 Mehl, Christian
4 Mele, Giampaolo
4 Michiels, Wim
4 Nodera, Takashi
4 Nour-Omid, Bahram
4 Parlett, Beresford Neill
4 Psarrakos, Panayiotis J.
4 Sadkane, Miloud
4 Sakurai, Tetsuya
4 Schwarz, Hans Rudolf
4 Solov’ev, Pavel S.
4 Sun, Jiguang
4 Szyld, Daniel B.
4 Van Barel, Marc
4 Wei, Wei
4 Yamamoto, Yusaku
4 Zaslavsky, Mikhail
3 Bao, Liang
3 Bergamaschi, Luca
3 Berljafa, Mario
3 Björck, Åke
3 Bultheel, Adhemar François
3 Carson, Erin Claire
3 Chen, Xiaoping
3 Chien, Cheng-Sheng
3 Cook, Ralph Dennis
...and 1,356 more Authors
all top 5

Cited in 192 Serials

122 Linear Algebra and its Applications
71 Journal of Computational and Applied Mathematics
54 Journal of Computational Physics
47 BIT
38 SIAM Journal on Scientific Computing
35 Numerische Mathematik
32 SIAM Journal on Matrix Analysis and Applications
30 Computer Methods in Applied Mechanics and Engineering
27 Numerical Algorithms
26 Applied Mathematics and Computation
25 Numerical Linear Algebra with Applications
22 Journal of Scientific Computing
20 Applied Numerical Mathematics
18 Computers & Mathematics with Applications
16 Computer Physics Communications
14 International Journal for Numerical Methods in Engineering
12 Mathematics of Computation
11 Japan Journal of Industrial and Applied Mathematics
9 SIAM Journal on Numerical Analysis
8 Automatica
8 Computing
8 International Journal of Computer Mathematics
8 BIT. Nordisk Tidskrift for Informationsbehandling
7 Computational Statistics and Data Analysis
7 ETNA. Electronic Transactions on Numerical Analysis
7 Advances in Computational Mathematics
6 Linear and Multilinear Algebra
6 Mathematical and Computer Modelling
5 Journal of Fluid Mechanics
5 Journal of Statistical Planning and Inference
5 Computational Mechanics
5 Pattern Recognition
5 Mathematical Programming. Series A. Series B
5 Computational and Applied Mathematics
5 Lobachevskii Journal of Mathematics
4 International Journal of Systems Science
4 Calcolo
4 Journal of Soviet Mathematics
4 Mathematics and Computers in Simulation
4 Systems & Control Letters
4 Applied Mathematical Modelling
4 SIAM Journal on Optimization
4 Russian Journal of Numerical Analysis and Mathematical Modelling
3 Computers and Fluids
3 Inverse Problems
3 Mathematical Biosciences
3 Applied Mathematics Letters
3 Machine Learning
3 Journal of Global Optimization
3 Communications in Statistics. Simulation and Computation
3 Computational Optimization and Applications
3 Journal of Mathematical Sciences (New York)
3 Complexity
3 Journal of Mathematical Chemistry
3 Journal of Applied Statistics
3 Journal of Machine Learning Research (JMLR)
3 International Journal of Computational Methods
3 Acta Numerica
3 GAMM-Mitteilungen
3 Science China. Mathematics
3 Numerical Algebra, Control and Optimization
2 Journal of Mathematical Physics
2 Psychometrika
2 Bulletin of Mathematical Biology
2 Journal of Complexity
2 Applications of Mathematics
2 Annals of Physics
2 Communications in Statistics. Theory and Methods
2 European Journal of Operational Research
2 SIAM Review
2 ELA. The Electronic Journal of Linear Algebra
2 Mathematical Problems in Engineering
2 European Journal of Control
2 Multibody System Dynamics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Computational Geosciences
2 Archives of Computational Methods in Engineering
2 Foundations of Computational Mathematics
2 Journal of Numerical Mathematics
2 Journal of Applied Mathematics and Computing
2 Multiscale Modeling & Simulation
2 Computational Biology and Chemistry
2 International Journal of Wavelets, Multiresolution and Information Processing
2 Statistical Methods and Applications
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Communications in Computational Physics
2 East Asian Journal on Applied Mathematics
2 Nonlinear Analysis. Theory, Methods & Applications
1 International Journal of Modern Physics A
1 Acta Mechanica
1 Bulletin of the Australian Mathematical Society
1 Ingenieur-Archiv
1 International Journal of Control
1 Information Processing Letters
1 Journal of the Franklin Institute
1 Journal of Mathematical Analysis and Applications
1 Mathematical Notes
1 Physica A
1 Physics Letters. A
1 Physics Reports
...and 92 more Serials
all top 5

Cited in 43 Fields

739 Numerical analysis (65-XX)
249 Linear and multilinear algebra; matrix theory (15-XX)
87 Statistics (62-XX)
69 Partial differential equations (35-XX)
65 Systems theory; control (93-XX)
57 Operations research, mathematical programming (90-XX)
55 Mechanics of deformable solids (74-XX)
44 Computer science (68-XX)
38 Fluid mechanics (76-XX)
32 Ordinary differential equations (34-XX)
31 Quantum theory (81-XX)
29 Optics, electromagnetic theory (78-XX)
28 Approximations and expansions (41-XX)
28 Operator theory (47-XX)
25 Statistical mechanics, structure of matter (82-XX)
15 Biology and other natural sciences (92-XX)
14 Probability theory and stochastic processes (60-XX)
13 Dynamical systems and ergodic theory (37-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
12 Information and communication theory, circuits (94-XX)
10 Mechanics of particles and systems (70-XX)
9 Geophysics (86-XX)
8 Functions of a complex variable (30-XX)
7 Combinatorics (05-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Special functions (33-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Number theory (11-XX)
4 Integral equations (45-XX)
4 Differential geometry (53-XX)
3 General and overarching topics; collections (00-XX)
3 Real functions (26-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Algebraic geometry (14-XX)
2 Potential theory (31-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Functional analysis (46-XX)
1 History and biography (01-XX)
1 Field theory and polynomials (12-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

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