Effective construction of eigenvectors for a class of singular sparse matrices

DOI10.1016/j.aml.2019.05.018OpenAlexW2947107408WikidataQ127820476 ScholiaQ127820476MaRDI QIDQ2274911

Habib N. Najm, Xiaoying Han

Publication date: 1 October 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://www.osti.gov/biblio/1529144

zbMATH Keywords

eigenproblemdimension reductionsparse matrixsingular matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Canonical forms, reductions, classification (15A21)

Cites Work

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• Solving the eigenvalue problem for sparse matrices
• The structure of the eigenvectors of sparse matrices
• Numerical Methods for Large Eigenvalue Problems
• The Spectral Transformation Lanczos Method for the Numerical Solution of Large Sparse Generalized Symmetric Eigenvalue Problems

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