A new algorithm for computing the inertia of eigenproblems \((Ax=\lambda x)\) and \((Ax=\lambda Bx)\)

DOI10.1016/J.AMC.2007.12.005zbMath1148.65026OpenAlexW2955827MaRDI QIDQ945226

H. Saberi Najafi, Maryam Shams Solary

Publication date: 12 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.12.005

zbMATH Keywords

numerical examplesinertiaArnoldi algorithmgeneralized eigenproblemblock matrixshift-and-invert

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (1)

Inertia for symmetric Toeplitz matrices

Uses Software

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Cites Work

• Computational algorithms for computing the inverse of a square matrix, quasi-inverse of a non-square matrix and block matrices
• A refined shift-and-invert Arnoldi algorithm for large unsymmetric generalized eigenproblems.
• Shifting algorithms with Maple and implicit shift in the QR algorithm
• Stability and inertia
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