Eigenvalue algorithm

Known as: Eigensolver, Matrix eigenvalue problem, Symbolic computation of matrix eigenvalues 
In numerical analysis, one of the most important problems is designing efficient and stable algorithms for finding the eigenvalues of a matrix, or… (More)
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2012
2012
The Arnoldi method for standard eigenvalue problems possesses several attractive properties making it robust, reliable and… (More)
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Highly Cited
2011
Highly Cited
2011
The computation of selected eigenvalues and eigenvectors of a symmetric (Hermitian) matrix is an important subtask in many… (More)
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2010
2010
An implicit version of the shifted QR eigenvalue algorithm given in [D. A. Bini, Y. Eidelman, I. Gohberg, L. Gemignani, SIAM J… (More)
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2010
2010
Using relative oscillation theory and the reducibility result of Eliasson, we study perturbations of quasiperiodic Schrödinger… (More)
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2008
2008
  • Mildred Hager, Johannes Sjoestrand
  • 2008
We consider quite general h-pseudodifferential operators on R with small random perturbations and show that in the limit h → 0… (More)
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2007
2007
Let Hn ⊂ Cn×n be the class of n × n Hessenberg matrices A which are rank-one modifications of a unitary matrix, that is, A = H… (More)
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2001
2001
  • Richard B. Lehoucq, Andrew G. Salinger
  • 2001
We present an approach for determining the linear stability of steady states of PDEs on massively parallel computers. Linearizing… (More)
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1999
1999
  • S SIAMJ.
  • 1999
We present a new parallel implementation of a divide and conquer algorithm for computing the spectral decomposition of a… (More)
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1997
1997
T h e B R algorithm, a new method for calculating the eigenvalues of an upper Hessenberg matrix, is introduced. I t is a bulge… (More)
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Highly Cited
1988
Highly Cited
1988
An investigation of the effects of disorder on the modes of vibration of nearly periodic structures is presented. It is shown… (More)
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