Verified Error Bounds for All Eigenvalues and Eigenvectors of a Matrix
Author:
Affiliation:
1. Institute for Reliable Computing, Hamburg University of Technology, 21073 Hamburg, Germany, and Visiting Professor at Waseda University, Faculty of Science and Engineering, Shinjuku-ku, Tokyo 169–8555, Japan ().
Publisher
Society for Industrial & Applied Mathematics (SIAM)
Subject
Analysis
Reference27 articles.
1. On sensitivity of eigenvalues and eigendecompositions of matrices
2. Iterative improvement of componentwise errorbounds for invariant subspaces belonging to a double or nearly double eigenvalue
3. An Algorithm for Computing Reducing Subspaces by Block Diagonalization
4. The Determination of Guaranteed Bounds to Eigenvalues with the Use of Variational Methods II
5. The calculation of guaranteed bounds for eigenvalues using complementary variational principles
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1. Fast computation of error bounds for all eigenpairs of a Hermitian and all singular pairs of a rectangular matrix with emphasis on eigen- and singular value clusters;Journal of Computational and Applied Mathematics;2023-12
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