Hermitian subspace iteration

A. Y T Leung

Hermitian subspace iteration

A. Y T Leung

Research output: Journal Publications and Reviews › RGC 22 - Publication in policy or professional journal

Abstract

The subspace iteration for symmetric real matrices is extended to the partial eigensolutions for Hermitian matrices. Only the lower triangle of the Hermitian matrix in variable band form is required and processed. Efficient and compact FORTRAN subroutines are developed for computing the lowest modes in ascending order of absolute eigenvalues. The method is suitable for incore microcomputer solution of the sparse Hermitian eigenvalue problem.

Original language	English
Pages (from-to)	237-241
Journal	Microcomputers in Civil Engineering
Volume	4
Issue number	3
Publication status	Published - Sept 1989
Externally published	Yes

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title = "Hermitian subspace iteration",

abstract = "The subspace iteration for symmetric real matrices is extended to the partial eigensolutions for Hermitian matrices. Only the lower triangle of the Hermitian matrix in variable band form is required and processed. Efficient and compact FORTRAN subroutines are developed for computing the lowest modes in ascending order of absolute eigenvalues. The method is suitable for incore microcomputer solution of the sparse Hermitian eigenvalue problem.",

author = "Leung, \{A. Y T\}",

year = "1989",

month = sep,

language = "English",

volume = "4",

pages = "237--241",

journal = "Microcomputers in Civil Engineering",

issn = "0885-9507",

publisher = "Wiley-Blackwell",

number = "3",

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TY - JOUR

T1 - Hermitian subspace iteration

AU - Leung, A. Y T

PY - 1989/9

Y1 - 1989/9

N2 - The subspace iteration for symmetric real matrices is extended to the partial eigensolutions for Hermitian matrices. Only the lower triangle of the Hermitian matrix in variable band form is required and processed. Efficient and compact FORTRAN subroutines are developed for computing the lowest modes in ascending order of absolute eigenvalues. The method is suitable for incore microcomputer solution of the sparse Hermitian eigenvalue problem.

AB - The subspace iteration for symmetric real matrices is extended to the partial eigensolutions for Hermitian matrices. Only the lower triangle of the Hermitian matrix in variable band form is required and processed. Efficient and compact FORTRAN subroutines are developed for computing the lowest modes in ascending order of absolute eigenvalues. The method is suitable for incore microcomputer solution of the sparse Hermitian eigenvalue problem.

UR - https://www.scopus.com/pages/publications/0024735156

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0024735156&origin=recordpage

M3 - RGC 22 - Publication in policy or professional journal

SN - 0885-9507

VL - 4

SP - 237

EP - 241

JO - Microcomputers in Civil Engineering

JF - Microcomputers in Civil Engineering

IS - 3

ER -

Hermitian subspace iteration

Abstract

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