On the real symmetric inverse eigenvalue problem

M. A. Shalaby

doi:10.1016/0377-0427(94)90087-6

On the real symmetric inverse eigenvalue problem

M. A. Shalaby^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The inverse eigenvalue problem of a real symmetric matrix, dependent on several parameters, is studied. A new solution, based on obtaining perturbation expansions of the eigensystem of such a matrix, is presented. The proposed solution is a modification of the well-known Newton method, based on investigating the analyticity of the eigenvalues and the eigenvectors of the matrix.

Original language	English (US)
Pages (from-to)	331-340
Number of pages	10
Journal	Journal of Computational and Applied Mathematics
Volume	56
Issue number	3
DOIs	https://doi.org/10.1016/0377-0427(94)90087-6
State	Published - Dec 30 1994
Externally published	Yes

Keywords

Analyticity
Inverse eigenvalue problem
Perturbation expansions

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/0377-0427(94)90087-6

Cite this

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title = "On the real symmetric inverse eigenvalue problem",

abstract = "The inverse eigenvalue problem of a real symmetric matrix, dependent on several parameters, is studied. A new solution, based on obtaining perturbation expansions of the eigensystem of such a matrix, is presented. The proposed solution is a modification of the well-known Newton method, based on investigating the analyticity of the eigenvalues and the eigenvectors of the matrix.",

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AU - Shalaby, M. A.

PY - 1994/12/30

Y1 - 1994/12/30

N2 - The inverse eigenvalue problem of a real symmetric matrix, dependent on several parameters, is studied. A new solution, based on obtaining perturbation expansions of the eigensystem of such a matrix, is presented. The proposed solution is a modification of the well-known Newton method, based on investigating the analyticity of the eigenvalues and the eigenvectors of the matrix.

AB - The inverse eigenvalue problem of a real symmetric matrix, dependent on several parameters, is studied. A new solution, based on obtaining perturbation expansions of the eigensystem of such a matrix, is presented. The proposed solution is a modification of the well-known Newton method, based on investigating the analyticity of the eigenvalues and the eigenvectors of the matrix.

KW - Analyticity

KW - Inverse eigenvalue problem

KW - Perturbation expansions

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U2 - 10.1016/0377-0427(94)90087-6

DO - 10.1016/0377-0427(94)90087-6

M3 - Article

AN - SCOPUS:1042301592

SN - 0377-0427

VL - 56

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EP - 340

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 3

ER -

On the real symmetric inverse eigenvalue problem

Abstract

Keywords

ASJC Scopus subject areas

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