Spectral portrait for non-Hermitian large sparse matrices

DOI10.1007/BF02307381zbMath0813.65075MaRDI QIDQ1340876

V. Pereyra

Publication date: 20 December 1994

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

algorithmpseudospectrumnonnormal matriceslarge sparse matrixpseudo-eigenvalues

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Conditioning of matrices (15A12)

Related Items (7)

Pseudospectra for matrix pencils and stability of equilibria ⋮ Pseudospectra of linear matrix pencils by block diagonalization ⋮ Computing the field of values and pseudospectra using the Lanczos method with continuation ⋮ Special Issue: A systolic block-Jacobi SVD solver for processor meshes ⋮ Eigenvalue computation in the 20th century ⋮ Computation of pseudospectra via spectral projectors ⋮ Topological analysis of eigenvalues in engineering computations

Uses Software

• Harwell-Boeing sparse matrix collection

Cites Work

• The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
• Sparse matrix test problems
• The Davidson Method
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