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Ruhe, Axel

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Author ID: ruhe.axel Recent zbMATH articles by "Ruhe, Axel"
Published as: Ruhe, A.; Ruhe, Axel
External Links: MGP · Wikidata
Documents Indexed: 47 Publications since 1967, including 3 Books
Reviewing Activity: 186 Reviews
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 1,035 times in 779 Documents Cited by Year
Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058
Bai, Zhaojun (ed.); Demmel, James (ed.); Dongarra, Jack (ed.); Ruhe, Axel (ed.); Van der Vorst, Henk (ed.)
262
2000
Rational Krylov sequence methods for eigenvalue computation. Zbl 0554.65025
Ruhe, Axel
86
1984
Algorithms for the nonlinear eigenvalue problem. Zbl 0261.65032
Ruhe, Axel
84
1973
The spectral transformation Lanczos method for the numerical solution of large sparse generalized symmetric eigenvalue problems. Zbl 0468.65021
Ericsson, Thomas; Ruhe, Axel
63
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
48
1984
Algorithms for separable nonlinear least squares problems. Zbl 0466.65039
Ruhe, Axel; Wedin, Per Ake
47
1980
Rational Krylov: A practical algorithm for large sparse nonsymmetric matrix pencils. Zbl 0914.65036
Ruhe, Axel
46
1998
The rational Krylov algorithm for nonsymmetric eigenvalue problems. III: Complex shifts for real matrices. Zbl 0810.65032
Ruhe, Axel
39
1994
An algorithm for numerical computation of the Jordan normal form of a complex matrix. Zbl 0434.65020
Kagström, Bo; Ruhe, Axel
36
1980
Rational Krylov algorithms for nonsymmetric eigenvalue problems. II: Matrix pairs. Zbl 0810.65031
Ruhe, Axel
34
1994
Implementation aspects of band Lanczos algorithms for computation of eigenvalues of large sparse symmetric matrices. Zbl 0443.65022
Ruhe, Axel
27
1979
Numerical aspects of Gram-Schmidt orthogonalization of vectors. Zbl 0515.65036
Ruhe, Axel
19
1983
Properties of a matrix with a very ill-conditioned eigenproblem. Zbl 0184.37704
Ruhe, A.
19
1970
Rational Krylov algorithms for nonsymmetric eigenvalue problems. Zbl 0803.65045
Ruhe, Axel
18
1994
Closest normal matrix finally found. Zbl 0636.15017
Ruhe, Axel
18
1987
An algorithm for numerical determination of the structure of a general matrix. Zbl 0255.65023
Ruhe, Axel
18
1970
A new algorithm for numerical path following applied to an example from hydrodynamical flow. Zbl 0724.65051
Huitfeldt, Jacques; Ruhe, Axel
16
1990
Fitting empirical data by positive sums of exponentials. Zbl 0455.65009
Ruhe, Axel
13
1980
The method of conjugate gradients used in inverse iteration. Zbl 0266.65033
Ruhe, Axel; Wiberg, Torbjörn
13
1972
Perturbation bounds for means of eigenvalues and invariant subspaces. Zbl 0208.18302
Ruhe, A.
12
1970
On the quadratic convergence of the Jacobi method for normal matrices. Zbl 0159.20503
Ruhe, A.
12
1967
SOR-methods for the eigenvalue problem with large sparse matrices. Zbl 0304.65027
Ruhe, Axel
11
1974
The two-sided Arnoldi algorithm for nonsymmetric eigenvalue problems. Zbl 0502.65022
Ruhe, Axel
10
1983
Rational Krylov for eigenvalue computation and model order reduction. Zbl 1105.65036
Olsson, K. Henrik A.; Ruhe, Axel
9
2006
On the closeness of eigenvalues and singular values for almost normal matrices. Zbl 0313.65030
Ruhe, Axel
9
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
Iterative eigenvalue algorithms based on convergent splittings. Zbl 0324.65014
Ruhe, Axel
7
1975
The rational Krylov algorithm for nonlinear matrix eigenvalue problems. Zbl 1029.65035
Ruhe, A.
6
2000
Lanczos algorithms and field of value rotations for symmetric matrix pencils. Zbl 0623.65047
Ericsson, Thomas; Ruhe, Axel
6
1987
Accelerated Gauss-Newton algorithms for nonlinear least squares problems. Zbl 0435.65062
Ruhe, Axel
6
1979
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
Numerical path following and eigenvalue criteria for branch switching. Zbl 0609.65040
Zhou, Yong Feng; Ruhe, Axel
3
1986
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
3
1980
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
1
2005
Matrix pencils. Proceedings of a Conference Held at Pite Havsbad, Sweden, March 22-24, 1982. Zbl 0491.00017
Kagstroem, B. (ed.); Ruhe, A. (ed.)
1
1983
Fitting empirical data by positive sums of exponentials. Zbl 0438.65022
Ruhe, A.
1
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
Algorithms for the nonlinear eigenvalue problem. Zbl 0232.65032
Ruhe, Axel
1
1972
Rational Krylov for eigenvalue computation and model order reduction. Zbl 1105.65036
Olsson, K. Henrik A.; Ruhe, Axel
9
2006
A Krylov subspace method for information retrieval. Zbl 1101.68024
Blom, Katarina; Ruhe, Axel
1
2005
Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058
Bai, Zhaojun (ed.); Demmel, James (ed.); Dongarra, Jack (ed.); Ruhe, Axel (ed.); Van der Vorst, Henk (ed.)
262
2000
The rational Krylov algorithm for nonlinear matrix eigenvalue problems. Zbl 1029.65035
Ruhe, A.
6
2000
Rational Krylov: A practical algorithm for large sparse nonsymmetric matrix pencils. Zbl 0914.65036
Ruhe, Axel
46
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
39
1994
Rational Krylov algorithms for nonsymmetric eigenvalue problems. II: Matrix pairs. Zbl 0810.65031
Ruhe, Axel
34
1994
Rational Krylov algorithms for nonsymmetric eigenvalue problems. Zbl 0803.65045
Ruhe, Axel
18
1994
A new algorithm for numerical path following applied to an example from hydrodynamical flow. Zbl 0724.65051
Huitfeldt, Jacques; Ruhe, Axel
16
1990
Closest normal matrix finally found. Zbl 0636.15017
Ruhe, Axel
18
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
86
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
48
1984
Numerical aspects of Gram-Schmidt orthogonalization of vectors. Zbl 0515.65036
Ruhe, Axel
19
1983
The two-sided Arnoldi algorithm for nonsymmetric eigenvalue problems. Zbl 0502.65022
Ruhe, Axel
10
1983
Matrix pencils. Proceedings of a Conference Held at Pite Havsbad, Sweden, March 22-24, 1982. Zbl 0491.00017
Kagstroem, B. (ed.); Ruhe, A. (ed.)
1
1983
The spectral transformation Lanczos method for the numerical solution of large sparse generalized symmetric eigenvalue problems. Zbl 0468.65021
Ericsson, Thomas; Ruhe, Axel
63
1980
Algorithms for separable nonlinear least squares problems. Zbl 0466.65039
Ruhe, Axel; Wedin, Per Ake
47
1980
An algorithm for numerical computation of the Jordan normal form of a complex matrix. Zbl 0434.65020
Kagström, Bo; Ruhe, Axel
36
1980
Fitting empirical data by positive sums of exponentials. Zbl 0455.65009
Ruhe, Axel
13
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
3
1980
Fitting empirical data by positive sums of exponentials. Zbl 0438.65022
Ruhe, A.
1
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
Implementation aspects of band Lanczos algorithms for computation of eigenvalues of large sparse symmetric matrices. Zbl 0443.65022
Ruhe, Axel
27
1979
Accelerated Gauss-Newton algorithms for nonlinear least squares problems. Zbl 0435.65062
Ruhe, Axel
6
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
9
1975
Iterative eigenvalue algorithms based on convergent splittings. Zbl 0324.65014
Ruhe, Axel
7
1975
SOR-methods for the eigenvalue problem with large sparse matrices. Zbl 0304.65027
Ruhe, Axel
11
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
84
1973
The method of conjugate gradients used in inverse iteration. Zbl 0266.65033
Ruhe, Axel; Wiberg, Torbjörn
13
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.
19
1970
An algorithm for numerical determination of the structure of a general matrix. Zbl 0255.65023
Ruhe, Axel
18
1970
Perturbation bounds for means of eigenvalues and invariant subspaces. Zbl 0208.18302
Ruhe, A.
12
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.
12
1967
all top 5

Cited by 1,188 Authors

16 Lin, Wen-Wei
15 Ruhe, Axel
14 Nakatsukasa, Yuji
11 Jarlebring, Elias
11 Simoncini, Valeria
10 Bai, Zhaojun
10 Güttel, Stefan
10 Reichel, Lothar
10 Wei, Yimin
9 Jia, Zhongxiao
9 Mehrmann, Volker
9 Wu, Gang
8 Meerbergen, Karl
8 Román, Jose E.
8 Wang, Weichung
8 Ye, Qiang
7 Benner, Peter
7 Demmel, James Weldon
7 Tisseur, Françoise
7 Van Dooren, Paul M.
6 Huang, Tsungming
6 Jbilou, Khalide
6 Kürschner, Patrick
6 Neymeyr, Klaus
6 Solov’ëv, Sergeĭ Ivanovich
6 Vandebril, Raf
5 Druskin, Vladimir
5 Grimm, Volker
5 Hetmaniuk, Ulrich L.
5 Huang, Weiqiang
5 Hwang, Tsung-Min
5 Liu, Jinn-Liang
5 Pan, Victor Yakovlevich
5 Schmid, Peter Joseph
5 Sogabe, Tomohiro
5 Spence, Alastair
4 Abdel-Aziz, Mohammedi R.
4 Aishima, Kensuke
4 Alam, Rafikul
4 Arbenz, Peter
4 Calvetti, Daniela
4 Chu, Moody T.
4 Gugercin, Serkan
4 Henningson, Dan S.
4 Higham, Nicholas J.
4 Huhtanen, Marko
4 Jódar Sanchez, Lucas Antonio
4 Knyazev, Andrew V.
4 Kokabifar, E.
4 Li, Rencang
4 Loghmani, Ghasem Barid
4 Martin, Clyde Franklin
4 Michiels, Wim
4 Morgan, Ronald B.
4 Nagy, James Gerard
4 Nechepurenko, Yuri M.
4 Petkov, Petko Hr.
4 Psarrakos, Panayiotis J.
4 Schwarz, Hans Rudolf
4 Szyld, Daniel B.
4 Voss, Heinrich
4 Yin, Guojian
4 Zaslavsky, Mikhail
4 Zhang, Lei-Hong
4 Zhou, Ming
3 Baglama, James
3 Bao, Liang
3 Bentbib, Abdeslem Hafid
3 Bergamaschi, Luca
3 Berljafa, Mario
3 Björck, Åke
3 Bultheel, Adhemar François
3 Campos, Carmen
3 Chen, Xiaoping
3 Chien, Cheng-Sheng
3 Cook, Ralph Dennis
3 De Samblanx, Gorik
3 Demyanko, Kirill V.
3 Eldén, Lars
3 Farhat, Charbel H.
3 Freitag, Melina A.
3 Freund, Roland W.
3 Gemignani, Luca
3 Golub, Gene Howard
3 Hari, Vjeran
3 Jukić, Dragan
3 Lancaster, Peter
3 Lin, Wenwei
3 Lin, Yiqin
3 Lu, Ding
3 Lu, Linzhang
3 Marques, Osni A.
3 Mele, Giampaolo
3 Miao, Cun-Qiang
3 Międlar, Agnieszka
3 Niu, Qiang
3 Nour-Omid, Bahram
3 Paardekooper, M. H. C.
3 Parlett, Beresford Neill
3 Pini, Giorgio
...and 1,088 more Authors
all top 5

Cited in 154 Serials

110 Linear Algebra and its Applications
59 Journal of Computational and Applied Mathematics
43 BIT
40 Journal of Computational Physics
30 Numerische Mathematik
29 Numerical Linear Algebra with Applications
26 SIAM Journal on Scientific Computing
23 Applied Mathematics and Computation
21 Computer Methods in Applied Mechanics and Engineering
21 SIAM Journal on Matrix Analysis and Applications
18 Applied Numerical Mathematics
18 Numerical Algorithms
17 Computers & Mathematics with Applications
16 International Journal for Numerical Methods in Engineering
12 Journal of Scientific Computing
10 Mathematics of Computation
9 Computer Physics Communications
8 Automatica
8 Computing
8 Japan Journal of Industrial and Applied Mathematics
8 BIT. Nordisk Tidskrift for Informationsbehandling
7 SIAM Journal on Numerical Analysis
7 International Journal of Computer Mathematics
6 Mathematical and Computer Modelling
6 Computational Statistics and Data Analysis
6 Advances in Computational Mathematics
5 Journal of Fluid Mechanics
5 Journal of Statistical Planning and Inference
5 Pattern Recognition
5 Lobachevskii Journal of Mathematics
4 International Journal of Systems Science
4 Computational Mechanics
4 SIAM Journal on Optimization
3 Computers and Fluids
3 Linear and Multilinear Algebra
3 Mathematical Biosciences
3 Calcolo
3 Journal of Soviet Mathematics
3 Applied Mathematics Letters
3 Journal of Global Optimization
3 Mathematical Programming. Series A. Series B
3 Computational Optimization and Applications
3 Journal of Mathematical Sciences (New York)
3 Complexity
3 Science China. Mathematics
3 Numerical Algebra, Control and Optimization
2 Inverse Problems
2 Journal of Mathematical Physics
2 Bulletin of Mathematical Biology
2 Mathematics and Computers in Simulation
2 Systems & Control Letters
2 Journal of Complexity
2 Applications of Mathematics
2 Applied Mathematical Modelling
2 Communications in Statistics. Simulation and Computation
2 Communications in Statistics. Theory and Methods
2 European Journal of Operational Research
2 SIAM Review
2 ETNA. Electronic Transactions on Numerical Analysis
2 Journal of Mathematical Chemistry
2 Mathematical Problems in Engineering
2 European Journal of Control
2 Multibody System Dynamics
2 Computational Geosciences
2 Archives of Computational Methods in Engineering
2 Foundations of Computational Mathematics
2 Multiscale Modeling & Simulation
2 Computational Biology and Chemistry
2 International Journal of Computational Methods
2 GAMM-Mitteilungen
2 East Asian Journal on Applied Mathematics
2 Nonlinear Analysis. Theory, Methods & Applications
1 Bulletin of the Australian Mathematical Society
1 Ingenieur-Archiv
1 Journal of the Franklin Institute
1 Journal of Mathematical Analysis and Applications
1 Mathematical Notes
1 Scandinavian Journal of Statistics
1 Wave Motion
1 Theoretical and Computational Fluid Dynamics
1 ACM Transactions on Mathematical Software
1 Biometrics
1 International Journal of Circuit Theory and Applications
1 Journal of the American Statistical Association
1 Journal of Econometrics
1 Journal of Mathematical Psychology
1 Journal of Multivariate Analysis
1 Numerical Functional Analysis and Optimization
1 Operations Research
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Siberian Mathematical Journal
1 Theoretical Computer Science
1 Statistics & Probability Letters
1 Circuits, Systems, and Signal Processing
1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik
1 Physica D
1 Parallel Computing
1 Acta Mathematicae Applicatae Sinica. English Series
1 Communications in Applied Numerical Methods
1 Computers & Operations Research
...and 54 more Serials
all top 5

Cited in 40 Fields

581 Numerical analysis (65-XX)
186 Linear and multilinear algebra; matrix theory (15-XX)
65 Statistics (62-XX)
55 Partial differential equations (35-XX)
55 Systems theory; control (93-XX)
43 Mechanics of deformable solids (74-XX)
41 Operations research, mathematical programming (90-XX)
35 Fluid mechanics (76-XX)
30 Ordinary differential equations (34-XX)
24 Approximations and expansions (41-XX)
24 Computer science (68-XX)
23 Statistical mechanics, structure of matter (82-XX)
22 Optics, electromagnetic theory (78-XX)
22 Quantum theory (81-XX)
15 Operator theory (47-XX)
14 Biology and other natural sciences (92-XX)
11 Information and communication theory, circuits (94-XX)
8 Dynamical systems and ergodic theory (37-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
7 Functions of a complex variable (30-XX)
7 Probability theory and stochastic processes (60-XX)
7 Mechanics of particles and systems (70-XX)
7 Geophysics (86-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Special functions (33-XX)
3 General and overarching topics; collections (00-XX)
3 Combinatorics (05-XX)
3 Number theory (11-XX)
3 Real functions (26-XX)
3 Integral equations (45-XX)
3 Differential geometry (53-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Algebraic geometry (14-XX)
2 Potential theory (31-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 History and biography (01-XX)
1 Field theory and polynomials (12-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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