-
1
-
-
17144443558
-
Large eigenvalue problems in dynamic analysis, ASCE
-
Bathe K.J., Wilson E.L. Large eigenvalue problems in dynamic analysis, ASCE. J. Eng. Mech. Div. 98:1972;1471-1485.
-
(1972)
J. Eng. Mech. Div.
, vol.98
, pp. 1471-1485
-
-
Bathe, K.J.1
Wilson, E.L.2
-
2
-
-
0015555828
-
Solution methods for eigenvalue problems in structural mechanics
-
Bathe K.J., Wilson E.L. Solution methods for eigenvalue problems in structural mechanics. Internat. J. Numer. Methods Engrg. 6:1973;213-226.
-
(1973)
Internat. J. Numer. Methods Engrg
, vol.6
, pp. 213-226
-
-
Bathe, K.J.1
Wilson, E.L.2
-
3
-
-
0000482693
-
Das Verfahren der Treppeniteration und Verwandte Verfahren zur Lösung Algebraischer Eigenwertprobleme
-
Bauer F.L. Das Verfahren der Treppeniteration und Verwandte Verfahren zur Lösung Algebraischer Eigenwertprobleme. Z. Angew. Math. Phys. 8:1957;214-235.
-
(1957)
Z. Angew. Math. Phys.
, vol.8
, pp. 214-235
-
-
Bauer, F.L.1
-
5
-
-
0014732489
-
The evaluation of eigenvalues and eigenvectors of real symmetric matrices by simultaneous iteration
-
Clint M., Jennings A. The evaluation of eigenvalues and eigenvectors of real symmetric matrices by simultaneous iteration. Comput. J. 13:1970;76-80.
-
(1970)
Comput. J.
, vol.13
, pp. 76-80
-
-
Clint, M.1
Jennings, A.2
-
7
-
-
0007346565
-
Lanczos and the computation in specified intervals of the spectrum of large, sparse real symmetric matrices
-
I.S. Duff, & G.W. Stewart. Philadelphia, PA: SIAM Publications
-
Cullum J., Willoughby R.A. Lanczos and the computation in specified intervals of the spectrum of large, sparse real symmetric matrices. Duff I.S., Stewart G.W. Sparse Matrix Proceedings 1978. 1979;SIAM Publications, Philadelphia, PA.
-
(1979)
Sparse Matrix Proceedings 1978
-
-
Cullum, J.1
Willoughby, R.A.2
-
8
-
-
0000032911
-
Computing eigenvalues of very large symmetric matrices - An implementation of a Lanczos algorithm with no reorthogonalization
-
Cullum J., Willoughby R.A. Computing eigenvalues of very large symmetric matrices - an implementation of a Lanczos algorithm with no reorthogonalization. J. Comput. Phys. 44:1984;329-358.
-
(1984)
J. Comput. Phys.
, vol.44
, pp. 329-358
-
-
Cullum, J.1
Willoughby, R.A.2
-
9
-
-
84966217951
-
Reorthogonalization and stable algorithms for updating the Gram-Schmidt QR factorization
-
Daniel J., Gragg W.B., Kaufman L., Stewart G.W. Reorthogonalization and stable algorithms for updating the Gram-Schmidt QR factorization. Math. Comp. 33:1976;772-795.
-
(1976)
Math. Comp.
, vol.33
, pp. 772-795
-
-
Daniel, J.1
Gragg, W.B.2
Kaufman, L.3
Stewart, G.W.4
-
10
-
-
5344230920
-
The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
-
Davidson E.R. The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices. J. Comput. Phys. 17:1975;817-825.
-
(1975)
J. Comput. Phys.
, vol.17
, pp. 817-825
-
-
Davidson, E.R.1
-
11
-
-
84966221080
-
The spectral transformation Lanczos method for the solution of large sparse generalized symmetric eigenvalue problems
-
Ericsson T., Ruhe A. The spectral transformation Lanczos method for the 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
-
12
-
-
0032131701
-
Jacobi-Davidson style QR and QZ algorithms for the reduction of matrix pencils
-
Fokkema D.R., Sleijpen G.L.G., van der Vorst H.A. Jacobi-Davidson style QR and QZ algorithms for the reduction of matrix pencils. SIAM J. Sci. Comput. 20:1999;94-125.
-
(1999)
SIAM J. Sci. Comput.
, vol.20
, pp. 94-125
-
-
Fokkema, D.R.1
Sleijpen, G.L.G.2
Van Der Vorst, H.A.3
-
13
-
-
0001197443
-
Über die Abgrenzung der Eigenwerte einer Matrix
-
Gerschgorin A. Über die Abgrenzung der Eigenwerte einer Matrix. Izv. Akad. Nauk SSSR Ser. Fiz.-Mat. 6:1931;749-754.
-
(1931)
Izv. Akad. Nauk SSSR Ser. Fiz.-Mat.
, vol.6
, pp. 749-754
-
-
Gerschgorin, A.1
-
14
-
-
0001707575
-
The block Lanczos method for computing eigenvalues
-
J.R. Rice. New York: Academic Press
-
Golub G.H., Underwood R. The block Lanczos method for computing eigenvalues. Rice J.R. Mathematical Software III. 1977;361-377 Academic Press, New York.
-
(1977)
Mathematical Software III
, pp. 361-377
-
-
Golub, G.H.1
Underwood, R.2
-
16
-
-
0001976163
-
A shifted block Lanczos algorithm for solving sparse symmetric generalized eigenproblems
-
Grimes R.G., Lewis J.G., Simon H.D. A shifted block Lanczos algorithm for solving sparse symmetric generalized eigenproblems. SIAM J. Matrix Anal. Appl. 15:1994;228-272.
-
(1994)
SIAM J. Matrix Anal. Appl.
, vol.15
, pp. 228-272
-
-
Grimes, R.G.1
Lewis, J.G.2
Simon, H.D.3
-
17
-
-
0000347933
-
Computation of the magnetohydrodynamic spectrum in axisymmetric toroidal confinement systems
-
Academic Press, New York
-
R.C. Grimm, J.M. Greene, J.L. Johnson, Computation of the magnetohydrodynamic spectrum in axisymmetric toroidal confinement systems, in: Methods of Computational Physics 16, Academic Press, New York, 1976.
-
(1976)
In: Methods of Computational Physics 16
-
-
Grimm, R.C.1
Greene, J.M.2
Johnson, J.L.3
-
19
-
-
0007999866
-
Finite hybrid elements to compute the ideal magnetohydrodynamic spectrum of an axisymmetric plasma
-
Gruber R. Finite hybrid elements to compute the ideal magnetohydrodynamic spectrum of an axisymmetric plasma. J. Comput. Phys. 26:1978;379-389.
-
(1978)
J. Comput. Phys.
, vol.26
, pp. 379-389
-
-
Gruber, R.1
-
20
-
-
84868361941
-
Über ein leichtes Verfahren die in der Theorie der Säculärstörungen vorkommenden Gleichungen numerisch aufzulösen
-
Jacobi C.G.J. Über ein leichtes Verfahren die in der Theorie der Säculärstörungen vorkommenden Gleichungen numerisch aufzulösen. J. Reine Angew. Math. 30:1846;51-94.
-
(1846)
J. Reine Angew. Math
, vol.30
, pp. 51-94
-
-
Jacobi, C.G.J.1
-
21
-
-
0040470342
-
A Lanczos-type algorithm for the generalized eigenvalue problem Ax=λ Bx
-
Kalamboukis T.Z. A Lanczos-type algorithm for the generalized eigenvalue problem. Ax=λ Bx J. Comput. Phys. 53:1984;82-89.
-
(1984)
J. Comput. Phys.
, vol.53
, pp. 82-89
-
-
Kalamboukis, T.Z.1
-
22
-
-
0002572659
-
Funkcional'nyi analiz i prikladnaja mathematika
-
Kantorovic L.V. Funkcional'nyi analiz i prikladnaja mathematika. Uspekhi Mat. Nauk. 3:1948;9-185.
-
(1948)
Uspekhi Mat. Nauk
, vol.3
, pp. 9-185
-
-
Kantorovic, L.V.1
-
23
-
-
0000094593
-
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
-
Lanczos C. An iteration method for the solution of the eigenvalue problem of linear differential and integral operators. J. Res. Nat. Bur. Stand. Sect. B. 45:1950;225-280.
-
(1950)
J. Res. Nat. Bur. Stand. Sect. B
, vol.45
, pp. 225-280
-
-
Lanczos, C.1
-
24
-
-
0039285540
-
On a method for the solution of a partial eigenvalue problem
-
Levin A.A. On a method for the solution of a partial eigenvalue problem. USSR J. Comput. Math. Math. Phys. 5:1965;206-212.
-
(1965)
USSR J. Comput. Math. Math. Phys.
, vol.5
, pp. 206-212
-
-
Levin, A.A.1
-
25
-
-
0012978714
-
The simultaneous expansion for the solution of several of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
-
C. Moler, & I. Shavitt. California: University of California
-
Liu B. The simultaneous expansion for the solution of several of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices. Moler C., Shavitt I. Numerical Algorithms in Chemistry: Algebraic Method, Lawrence Berkeley Laboratory. 1978;49-53 University of California, California.
-
(1978)
Numerical Algorithms in Chemistry: Algebraic Method, Lawrence Berkeley Laboratory
, pp. 49-53
-
-
Liu, B.1
-
26
-
-
0001398614
-
Generalizations of Davidson's method for computing eigenvalues of sparse symmetric matrices
-
Morgan R.B., Scott D.S. Generalizations of Davidson's method for computing eigenvalues of sparse symmetric matrices. SIAM J. Sci. Statist. Comput. 7:1986;817-825.
-
(1986)
SIAM J. Sci. Statist. Comput.
, vol.7
, pp. 817-825
-
-
Morgan, R.B.1
Scott, D.S.2
-
30
-
-
84968487118
-
The Lanczos algorithm with selective orthogonalization
-
Parlett B.N., Scott D.S. The Lanczos algorithm with selective orthogonalization. Math. Comp. 33:1979;217-238.
-
(1979)
Math. Comp.
, vol.33
, pp. 217-238
-
-
Parlett, B.N.1
Scott, D.S.2
-
31
-
-
0002198379
-
Computational aspects of F.L. Bauer's simultaneous iteration method
-
Rutishauser H. Computational aspects of F.L. Bauer's simultaneous iteration method. Numer. Math. 13:1969;4-13.
-
(1969)
Numer. Math.
, vol.13
, pp. 4-13
-
-
Rutishauser, H.1
-
32
-
-
0000281504
-
Simultaneous iteration method for symmetric matrices
-
Rutishauser H. Simultaneous iteration method for symmetric matrices. Numer. Math. 13:1970;205-223.
-
(1970)
Numer. Math.
, vol.13
, pp. 205-223
-
-
Rutishauser, H.1
-
35
-
-
0009148594
-
A trace minimization algorithm for the generalized eigenvalue problem
-
Sameh A., Wisniewski J.A. A trace minimization algorithm for the generalized eigenvalue problem. SIAM J. Numer. Anal. 19:1982;1243-1259.
-
(1982)
SIAM J. Numer. Anal.
, vol.19
, pp. 1243-1259
-
-
Sameh, A.1
Wisniewski, J.A.2
-
36
-
-
84968519566
-
The Lanczos algorithm with partial reorthogonalization
-
Simon H.D. The Lanczos algorithm with partial reorthogonalization. Math. Comp. 42:1984;115-142.
-
(1984)
Math. Comp.
, vol.42
, pp. 115-142
-
-
Simon, H.D.1
-
37
-
-
1542498668
-
Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems
-
Sleijpen G.L.G., Booten A.G.L., Fokkema D.R., van der Vorst H.A. Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems. BIT. 36:1996;595-633.
-
(1996)
BIT
, vol.36
, pp. 595-633
-
-
Sleijpen, G.L.G.1
Booten, A.G.L.2
Fokkema, D.R.3
Van Der Vorst, H.A.4
-
38
-
-
0030560293
-
A Jacobi-Davidson iteration method for linear eigenvalue problems
-
Sleijpen G.L.G., van der Vorst H.A. A Jacobi-Davidson iteration method for linear eigenvalue problems. SIAM J. Matrix Anal. Appl. 17:1996;401-425.
-
(1996)
SIAM J. Matrix Anal. Appl.
, vol.17
, pp. 401-425
-
-
Sleijpen, G.L.G.1
Van Der Vorst, H.A.2
-
39
-
-
0004315890
-
-
Tech. Rep. ANL-95 / 11, Argonne National Laboratory, Chicago, IL
-
B.F. Smith, W.D. Gropp, L.C. McInnes, S. Balay, Petsc 2.0 users manual, Tech. Rep. ANL-95 / 11, Argonne National Laboratory, Chicago, IL, 1995.
-
(1995)
Petsc 2.0 Users Manual
-
-
Smith, B.F.1
Gropp, W.D.2
McInnes, L.C.3
Balay, S.4
-
40
-
-
0001390950
-
Robust preconditioning of large, sparse, symmetric eigenvalue problems
-
Stathopoulos A., Saad Y., Fischer C.F. Robust preconditioning of large, sparse, symmetric eigenvalue problems. J. Comput. Appl. Math. 1995;197-215.
-
(1995)
J. Comput. Appl. Math.
, pp. 197-215
-
-
Stathopoulos, A.1
Saad, Y.2
Fischer, C.F.3
-
41
-
-
0000821683
-
Accelerating the orthogonal iteration for the eigenvalues of a hermitian matrix
-
Stewart G.W. Accelerating the orthogonal iteration for the eigenvalues of a hermitian matrix. Numer. Math. 13:1969;362-376.
-
(1969)
Numer. Math.
, vol.13
, pp. 362-376
-
-
Stewart, G.W.1
-
42
-
-
0003331308
-
A bibliographical tour of the large, sparse generalized eigenvalue problems
-
J.R. Banch, & D.J. Rose. New York: Academic Press
-
Stewart G.W. A bibliographical tour of the large, sparse generalized eigenvalue problems. Banch J.R., Rose D.J. Sparse Matrix Computations. 1976;113-130 Academic Press, New York.
-
(1976)
Sparse Matrix Computations
, pp. 113-130
-
-
Stewart, G.W.1
-
43
-
-
0002302093
-
150 years old and still alive: Eigenproblems
-
I.S. Duff, & G.A. Watson. Oxford: Clarendon Press
-
van der Vorst H.A., Golub G.H. 150 years old and still alive: Eigenproblems. Duff I.S., Watson G.A. The State of the Art in Numerical Analysis. 1997;93-119 Clarendon Press, Oxford.
-
(1997)
The State of the Art in Numerical Analysis
, pp. 93-119
-
-
Van Der Vorst, H.A.1
Golub, G.H.2
-
44
-
-
0042121939
-
-
Ph. D. Thesis, University of Minnesota, Minneapolis, MN
-
K. Wu, Preconditioning techniques for large eigenvalue problems, Ph. D. Thesis, University of Minnesota, Minneapolis, MN, 1997.
-
(1997)
Preconditioning Techniques for Large Eigenvalue Problems
-
-
Wu, K.1
|