The eigenvalue problem for Hermitian matrices with time reversal symmetry

J. J. Dongarra; J. R. Gabriel; D. D. Koelling; J. H. Wilkinson

doi:10.1016/0024-3795(84)90068-5

The eigenvalue problem for Hermitian matrices with time reversal symmetry

J. J. Dongarra, J. R. Gabriel, D. D. Koelling, J. H. Wilkinson

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22 Scopus citations

Abstract

This paper describes a computational method for dealing with a class of matrices which arise in quantum mechanics involving time reversal and inversion symmetry. The algorithms presented here have greatly reduced the computational effort required to solve this problem and also produce a stable, more accurate solution.

Original language	English
Pages (from-to)	27-42
Number of pages	16
Journal	Linear Algebra and Its Applications
Volume	60
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(84)90068-5
State	Published - Aug 1984
Externally published	Yes

Funding

‘Work supported in part by the Applied Mathematical Sciences Research Program (KC4))402) of the Office of Energy Research of the U.S. Department of Energy under Contract W-31-109-Eng-38. ‘Work supported in part by the Applied Mathematical Sciences Research Program and in part by Stanford University with support from the National Science Foundation under Grant MCS 7811985.

Funders	Funder number
Office of Energy Research
National Science Foundation	MCS 7811985
U.S. Department of Energy	W-31-109-Eng-38
Stanford University

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title = "The eigenvalue problem for Hermitian matrices with time reversal symmetry",

abstract = "This paper describes a computational method for dealing with a class of matrices which arise in quantum mechanics involving time reversal and inversion symmetry. The algorithms presented here have greatly reduced the computational effort required to solve this problem and also produce a stable, more accurate solution.",

author = "Dongarra, {J. J.} and Gabriel, {J. R.} and Koelling, {D. D.} and Wilkinson, {J. H.}",

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AU - Dongarra, J. J.

AU - Gabriel, J. R.

AU - Koelling, D. D.

AU - Wilkinson, J. H.

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Y1 - 1984/8

N2 - This paper describes a computational method for dealing with a class of matrices which arise in quantum mechanics involving time reversal and inversion symmetry. The algorithms presented here have greatly reduced the computational effort required to solve this problem and also produce a stable, more accurate solution.

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ER -

The eigenvalue problem for Hermitian matrices with time reversal symmetry

Abstract

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