Matrix pseudo-spectroscopy: Iterative calculation of matrix eigenvalues and eigenvectors of large matrices using a polynomial expansion of the Dirac delta function

DOI10.1016/0010-4655(95)00144-1zbMath0921.65029OpenAlexW2051678988WikidataQ127068207 ScholiaQ127068207MaRDI QIDQ1282953

Wei Zhu, David K. Hoffman, Donald J. Kouri, Gregory A. Parker, Youhong Huang

Publication date: 29 September 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4655(95)00144-1

zbMATH Keywords

Hermitian matriceseigenvaluesconvergence accelerationeigenvectorsDirac delta functionpolynomial expansionmatrix pseudo-spectroscopy

Mathematics Subject Classification ID

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

Related Items (7)

Distributed approximating functional treatment of noisy signals ⋮ An estimator for the diagonal of a matrix ⋮ Fast Computation of Spectral Densities for Generalized Eigenvalue Problems ⋮ Nonlinear trigonometric approximation and the Dirac delta function ⋮ Randomized estimation of spectral densities of large matrices made accurate ⋮ Approximating Spectral Densities of Large Matrices ⋮ The elimination of Lanczos ghosting effects by MINRES filter diagonalization

Cites Work

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• Computing interior eigenvalues of large matrices
• Super-matrix methods
• Scalable algorithms for three-dimensional reactive scattering: Evaluation of a new algorithm for obtaining surface functions
• The Spectral Transformation Lanczos Method for the Numerical Solution of Large Sparse Generalized Symmetric Eigenvalue Problems
• The principle of minimized iterations in the solution of the matrix eigenvalue problem

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