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Matrix pseudo-spectroscopy: iterative calculation of matrix eigenvalues and eigenvectors of large matrices using a polynomial expansion of the Dirac delta function by Gregory A. Parker; Wei Zhu; Youhong Huang; David K. Hoffman; Donald J. Kouri is a Physics and Astronomy article available to read on EtoBox.

What is Matrix pseudo-spectroscopy: iterative calculation of matrix eigenvalues and eigenvectors of large matrices using a polynomial expansion of the Dirac delta function about?

The method of diagonalizing Hermitian matrices based on a polynomial expansion of the Dirac delta function S( E -H) is further refined so as to accelerate the convergence. Improved choices of the bases used for subspace diagonalization of the matrix, along with accuracy controls and estimates, are introduced. It is shown that the improved method can accurately deliver eigenvalues and eigenvectors in any region of the spectrum, including cases where the spacings are very small for "interior" eigenvalues. In addition, accurate values can be obtained for as many states as are desired. The method is illustrated for a model problem introduced recently in a study of another type approach.

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Author

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

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0010-4655)

Published

1996

Language

EN

Field

Physics and Astronomy (Physical Sciences)