-
1
-
-
0002807741
-
The principle of minimized iterations in the solution of the matrix eigenvalue problem
-
W.E. Arnoldi The principle of minimized iterations in the solution of the matrix eigenvalue problem Quart. Appl. Math. 9 1951 17 29
-
(1951)
Quart. Appl. Math.
, vol.9
, pp. 17-29
-
-
Arnoldi, W.E.1
-
2
-
-
33645147974
-
-
Personal communication
-
Z. Bai, Personal communication, 2000.
-
(2000)
-
-
Bai, Z.1
-
3
-
-
0033242222
-
ABLE: An adaptive block Lanczos method for non-Hermitian eigenvalue problems
-
Z. Bai, D. Day, and Q. Ye ABLE: an adaptive block Lanczos method for non-Hermitian eigenvalue problems SIAM J. Matrix Anal. Appl. 20 1999 1060 1082
-
(1999)
SIAM J. Matrix Anal. Appl.
, vol.20
, pp. 1060-1082
-
-
Bai, Z.1
Day, D.2
Ye, Q.3
-
5
-
-
0003138633
-
Error estimation of the Padé approximation of transfer functions via the Lanczos process
-
Z. Bai, and Q. Ye Error estimation of the Padé approximation of transfer functions via the Lanczos process Electron. Trans. Numer. Anal. 7 1998 1 17
-
(1998)
Electron. Trans. Numer. Anal.
, vol.7
, pp. 1-17
-
-
Bai, Z.1
Ye, Q.2
-
6
-
-
0034454173
-
Finite element analysis of a quadratic eigenvalue problem arising in dissipative acoustics
-
A. Bermúdez, R.G. Durán, R. Rodríguez, and J. Solomin Finite element analysis of a quadratic eigenvalue problem arising in dissipative acoustics SIAM J. Numer. Anal. 38 2000 267 291
-
(2000)
SIAM J. Numer. Anal.
, vol.38
, pp. 267-291
-
-
Bermúdez, A.1
Durán, R.G.2
Rodríguez, R.3
Solomin, J.4
-
8
-
-
0004473152
-
The Rayleigh-Ritz method for dissipative or gyroscopic systems
-
R.J. Duffin The Rayleigh-Ritz method for dissipative or gyroscopic systems Quart. Appl. Math. 18 1960 215 221
-
(1960)
Quart. Appl. Math.
, vol.18
, pp. 215-221
-
-
Duffin, R.J.1
-
9
-
-
84966221080
-
The spectral transformation Lanczos method for the numerical solution of large sparse generalized symmetric eigenvalue problems
-
T. Ericsson, and A. Ruhe The spectral transformation Lanczos method for the numerical solution of large sparse generalized symmetric eigenvalue problems Math. Comp. 35 1980 1251 1268
-
(1980)
Math. Comp.
, vol.35
, pp. 1251-1268
-
-
Ericsson, T.1
Ruhe, A.2
-
10
-
-
0029308198
-
Efficient linear circuit analysis by Padé approximation via the Lanczos process
-
P. Feldman, and R.W. Freund Efficient linear circuit analysis by Padé approximation via the Lanczos process IEEE Trans. Computer-Aided Design 14 1995 639 649
-
(1995)
IEEE Trans. Computer-Aided Design
, vol.14
, pp. 639-649
-
-
Feldman, P.1
Freund, R.W.2
-
11
-
-
0001536567
-
Asymptotic waveform evaluation via a Lanczos method
-
K. Gallivan, E. Grimme, and P. van Dooren Asymptotic waveform evaluation via a Lanczos method Appl. Math. Lett. 7 5 1994 75 80
-
(1994)
Appl. Math. Lett.
, vol.7
, Issue.5
, pp. 75-80
-
-
Gallivan, K.1
Grimme, E.2
Van Dooren, P.3
-
13
-
-
0004236492
-
-
third ed. Johns Hopkins University Press Baltimore, MD
-
G.H. Golub, and C.F. van Loan Matrix Computations third ed. 1996 Johns Hopkins University Press Baltimore, MD
-
(1996)
Matrix Computations
-
-
Golub, G.H.1
Van Loan, C.F.2
-
14
-
-
0000497979
-
A complete theory of the unsymmetric Lanczos process and related algorithms: Part i
-
M.H. Gutknecht A complete theory of the unsymmetric Lanczos process and related algorithms: Part I SIAM J. Matrix Anal. Appl. 13 1992 594 639
-
(1992)
SIAM J. Matrix Anal. Appl.
, vol.13
, pp. 594-639
-
-
Gutknecht, M.H.1
-
15
-
-
0009165708
-
A complete theory of the unsymmetric Lanczos process and related algorithms: Part II
-
M.H. Gutknecht A complete theory of the unsymmetric Lanczos process and related algorithms: Part II SIAM J. Matrix Anal. Appl. 15 1994 15 58
-
(1994)
SIAM J. Matrix Anal. Appl.
, vol.15
, pp. 15-58
-
-
Gutknecht, M.H.1
-
16
-
-
17444392637
-
Krylov type subspace methods for matrix polynomials
-
Department of Mathematics, University of Kentucky
-
L. Hoffnung, R.-C. Li, Q. Ye, Krylov type subspace methods for matrix polynomials, Technical Report 2002-08, Department of Mathematics, University of Kentucky, 2002. Available from 〈http://www.ms.uky.edu/~math/MAreport/〉.
-
(2002)
Technical Report
, vol.2002
, Issue.8
-
-
Hoffnung, L.1
Li, R.-C.2
Ye, Q.3
-
17
-
-
0000094594
-
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
-
C. Lanczos An iteration method for the solution of the eigenvalue problem of linear differential and integral operators J. Res. of the National Bureau of Standards 45 1950 255 282
-
(1950)
J. Res. of the National Bureau of Standards
, vol.45
, pp. 255-282
-
-
Lanczos, C.1
-
18
-
-
1842865580
-
A Krylov subspace method for quadratic matrix polynomials with application to constrained least squares problems
-
R.-C. Li, and Q. Ye A Krylov subspace method for quadratic matrix polynomials with application to constrained least squares problems SIAM J. Matrix Anal. Appl. 25 2 2003 405 428
-
(2003)
SIAM J. Matrix Anal. Appl.
, vol.25
, Issue.2
, pp. 405-428
-
-
Li, R.-C.1
Ye, Q.2
-
19
-
-
0034775550
-
Locking and restarting quadratic eigenvalue solvers
-
K. Meerbergen Locking and restarting quadratic eigenvalue solvers SIAM J. Sci. Comput. 22 2001 1814 1839
-
(2001)
SIAM J. Sci. Comput.
, vol.22
, pp. 1814-1839
-
-
Meerbergen, K.1
-
20
-
-
0003668665
-
-
SIAM Philadelphia
-
B.N. Parlett The Symmetric Eigenvalue Problem 1998 SIAM Philadelphia this SIAM edition is an unabridged, corrected reproduction of the work first published by Prentice-Hall, Inc., Englewood Cliffs, NJ, 1980
-
(1998)
The Symmetric Eigenvalue Problem
-
-
Parlett, B.N.1
-
21
-
-
84966231631
-
A look-ahead Lanczos algorithm for unsymmetric matrices
-
B.N. Parlett, D.R. Taylor, and Z.A. Liu A look-ahead Lanczos algorithm for unsymmetric matrices Math. Comp. 44 1985 105 124
-
(1985)
Math. Comp.
, vol.44
, pp. 105-124
-
-
Parlett, B.N.1
Taylor, D.R.2
Liu, Z.A.3
-
22
-
-
0001175293
-
A mixed finite element method for second order elliptic problems
-
Mathematical Aspects of Finite Element Methods, Springer-Verlag Berlin
-
P.A. Raviart, and J.M. Thomas A mixed finite element method for second order elliptic problems Mathematical Aspects of Finite Element Methods Lecture Notes in Math. vol. 606 1977 Springer-Verlag Berlin 292 315
-
(1977)
Lecture Notes in Math.
, vol.606
, pp. 292-315
-
-
Raviart, P.A.1
Thomas, J.M.2
-
23
-
-
0001422598
-
Rational Krylov sequence methods for eigenvalue computation
-
A. Ruhe Rational Krylov sequence methods for eigenvalue computation Linear Algebra Appl. 58 1984 391 405
-
(1984)
Linear Algebra Appl.
, vol.58
, pp. 391-405
-
-
Ruhe, A.1
-
26
-
-
1542498668
-
Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems
-
G. Sleijpen, J. Booten, D. Fokkema, and H. van der Vorst Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems BIT 36 1996 593 633
-
(1996)
BIT
, vol.36
, pp. 593-633
-
-
Sleijpen, G.1
Booten, J.2
Fokkema, D.3
Van Der Vorst, H.4
-
27
-
-
0000322706
-
Implicit application of polynomial filters in a k-step Arnoldi method
-
D.C. Sorensen Implicit application of polynomial filters in a k-step Arnoldi method SIAM J. Matrix Anal. Appl. 13 1 1992 357 385
-
(1992)
SIAM J. Matrix Anal. Appl.
, vol.13
, Issue.1
, pp. 357-385
-
-
Sorensen, D.C.1
-
28
-
-
0035359418
-
The quadratic eigenvalue problem
-
F. Tisseur, and K. Meerbergen The quadratic eigenvalue problem SIAM Rev. 43 2 2001 235 386
-
(2001)
SIAM Rev.
, vol.43
, Issue.2
, pp. 235-386
-
-
Tisseur, F.1
Meerbergen, K.2
-
29
-
-
0023538563
-
Model reduction using a projection formulation
-
C.E. Villemagne, and R.E. Skelton Model reduction using a projection formulation Internat. J. Control 46 6 1987 2141 2169
-
(1987)
Internat. J. Control
, vol.46
, Issue.6
, pp. 2141-2169
-
-
Villemagne, C.E.1
Skelton, R.E.2
-
30
-
-
84966258181
-
A convergence analysis for nonsymmetric Lanczos algorithms
-
Q. Ye A convergence analysis for nonsymmetric Lanczos algorithms Math. Comp. 56 1991 677 691
-
(1991)
Math. Comp.
, vol.56
, pp. 677-691
-
-
Ye, Q.1
-
31
-
-
84968469566
-
A breakdown-free variation of the nonsymmetric Lanczos algorithms
-
Q. Ye A breakdown-free variation of the nonsymmetric Lanczos algorithms Math. Comp. 62 1994 179 207
-
(1994)
Math. Comp.
, vol.62
, pp. 179-207
-
-
Ye, Q.1
|