Eigenvalue inclusion regions from inverses of shifted matrices

DOI10.1016/j.laa.2008.08.016zbMath1176.15022OpenAlexW2108292594MaRDI QIDQ952041

Michiel E. Hochstenbach, David A. Singer, Paul F. Zachlin

Publication date: 6 November 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.08.016

zbMATH Keywords

subspace methodsnumerical rangefield of valuesinclusion regionspseudospectralarge sparse matrixBrauer regionseigenvalue inclusionexclusion curvesexclusion regionsGershgorin regionsharmonic Rayleigh-Ritz methodinclusion curvesinverses of shifted matricesovals of Cassini

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (1)

Pseudospectrum enclosures by discretization

Uses Software

• Matlab
• Eigtool

Cites Work

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• Matrix Algorithms
• Numerical Determination of the Field of Values of a General Complex Matrix
• Approximate solutions and eigenvalue bounds from Krylov subspaces
• On the roots of the orthogonal polynomials and residual polynomials associated with a conjugate gradient method
• Über den Wertevorrat einer Matrix

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