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Zur Konvergenz des Jacobi-Verfahrens

Published: 01 December 1961 Publication History

Abstract

No abstract available.

References

[1]
JACOBI, C. G. J.: Über ein leichtes Verfahren, die in der Theorie der Säcularstörungen vorkommenden Gleichungen aufzulösen. J. reine u. angew. Math. 30, 51-94 (1846).
[2]
GOLDSTINE, H. H., F. J. MURRAY and J. VON NEUMANN: The Jacobi Method for Real Symmetric Matrices. J. A. C. M. 6, 59-96 (1959).
[3]
POPE, D. A., and C. TOMPKINS: Maximizing Functions of Rotations - (Experiments Concerning Speed of Diagonalisation of Symmetric Matrices Using Jacobi's Method). J.A.C.M. 4, 459-466 (1957).
[4]
HENRICI, P.: On the Speed of Convergence of Cyclic and Quasicyclic Jacobi Methods for Computing Eigenvalues of Hermitian Matrices. J. Soc. Ind. Appl. Math. 6, 144-162 (1958).
[5]
FORSYTHE, G. E., and P. HENRICI: Proof of convergence of the cyclic Jacobi iterative process for computing eigenvalues of a real symmetric matrix (abstract). Bull. A. M. S. 63, 130 (1957).

Cited By

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  • (2018)Asymptotic quadratic convergence of the parallel block-Jacobi EVD algorithm with dynamic ordering for Hermitian matricesBIT10.1007/s10543-018-0711-358:4(1099-1123)Online publication date: 1-Dec-2018
  • (2017)Asymptotic quadratic convergence of the serial block-Jacobi EVD algorithm for Hermitian matricesNumerische Mathematik10.1007/s00211-016-0863-5136:4(1071-1095)Online publication date: 1-Aug-2017
  • (2011)An overview on the eigenvalue computation for matricesNeural, Parallel & Scientific Computations10.5555/2336431.233643919:1-2(129-164)Online publication date: 1-Mar-2011
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Published In

cover image Numerische Mathematik
Numerische Mathematik  Volume 3, Issue 1
December 1961
413 pages

Publisher

Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 01 December 1961

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Cited By

View all
  • (2018)Asymptotic quadratic convergence of the parallel block-Jacobi EVD algorithm with dynamic ordering for Hermitian matricesBIT10.1007/s10543-018-0711-358:4(1099-1123)Online publication date: 1-Dec-2018
  • (2017)Asymptotic quadratic convergence of the serial block-Jacobi EVD algorithm for Hermitian matricesNumerische Mathematik10.1007/s00211-016-0863-5136:4(1071-1095)Online publication date: 1-Aug-2017
  • (2011)An overview on the eigenvalue computation for matricesNeural, Parallel & Scientific Computations10.5555/2336431.233643919:1-2(129-164)Online publication date: 1-Mar-2011
  • (1993)On quadratic convergence bounds for theJ-symmetric Jacobi methodNumerische Mathematik10.1007/BF0138868564:1(147-180)Online publication date: 1-Dec-1993
  • (1991)On the Generalized Schur Decomposition of a Matrix Pencil for Parallel ComputationSIAM Journal on Scientific and Statistical Computing10.5555/3037621.303762212:4(911-939)Online publication date: 1-Jul-1991
  • (1989)Linear convergence of the row cyclic Jacobi and Kogbetliantz methodsNumerische Mathematik10.1007/BF0139577956:1(73-91)Online publication date: 1-Jan-1989
  • (1966)The Jacobi method for real symmetric matricesNumerische Mathematik10.1007/BF021652239:1(1-10)Online publication date: 1-Nov-1966

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