On Modifications to the Spectral Dichotomy Algorithm

DOI10.1080/01630563.2012.721152zbMath1283.65043OpenAlexW2033988983MaRDI QIDQ2854325

Miloud Sadkane, Ahmed Touhami

Publication date: 18 October 2013

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2012.721152

zbMATH Keywords

numerical exampleeigenvalueLyapunov equationregular matrix pencilspectral projectorspectral dichotomy algorithm

Mathematics Subject Classification ID

Related Items (1)

METHOD OF SPECTRAL DICHOTOMY OF A MATRIX WITH RESPECT TO A CIRCLE OR AN ELLIPSE NOT CENTERED AT THE ORIGIN

Cites Work

• Computing invariant subspaces of a regular linear pencil of matrices
• Problem of the dichotomy of the spectrum of a matrix
• Parallel algorithm for solving some spectral problems of linear algebra
• An inverse free parallel spectral divide and conquer algorithm for nonsymmetric eigenproblems
• Computing eigenspaces with specified eigenvalues of a regular matrix pair \((A,B)\) and condition estimation: Theory, algorithms and software
• Some new algorithms for the spectral dichotomy methods
• Large-Scale Computation of Pseudospectra Using ARPACK and Eigs
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