Quadratic method for computing the eigenpairs of a matrix

M. B. Elgindi; A. Kharab

doi:10.1080/00207160008804915

Quadratic method for computing the eigenpairs of a matrix

M. B. Elgindi^*
, A. Kharab

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

2 Scopus citations

Abstract

In this paper we introduce a new method for computing the eigenpairs of a matrix. The quadratic method which has the advantage of working in parallel, is based on solving quadratic nonlinear systems. The starting values of Newton's method used to solve the systems, are obtained by using a homotopy method together with polynomial interpolation. The algorithm is described and several numerical examples are given.

Original language	English
Pages (from-to)	517-530
Number of pages	14
Journal	International Journal of Computer Mathematics
Volume	73
Issue number	4
DOIs	https://doi.org/10.1080/00207160008804915
State	Published - 2000

Bibliographical note

Funding Information:
The Second author wishes to acknowledge the support of King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia.

ASJC Scopus subject areas

Computer Science Applications
Computational Theory and Mathematics
Applied Mathematics

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10.1080/00207160008804915

Cite this

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title = "Quadratic method for computing the eigenpairs of a matrix",

abstract = "In this paper we introduce a new method for computing the eigenpairs of a matrix. The quadratic method which has the advantage of working in parallel, is based on solving quadratic nonlinear systems. The starting values of Newton's method used to solve the systems, are obtained by using a homotopy method together with polynomial interpolation. The algorithm is described and several numerical examples are given.",

author = "Elgindi, \{M. B.\} and A. Kharab",

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AU - Elgindi, M. B.

AU - Kharab, A.

N1 - Funding Information: The Second author wishes to acknowledge the support of King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia.

PY - 2000

Y1 - 2000

N2 - In this paper we introduce a new method for computing the eigenpairs of a matrix. The quadratic method which has the advantage of working in parallel, is based on solving quadratic nonlinear systems. The starting values of Newton's method used to solve the systems, are obtained by using a homotopy method together with polynomial interpolation. The algorithm is described and several numerical examples are given.

AB - In this paper we introduce a new method for computing the eigenpairs of a matrix. The quadratic method which has the advantage of working in parallel, is based on solving quadratic nonlinear systems. The starting values of Newton's method used to solve the systems, are obtained by using a homotopy method together with polynomial interpolation. The algorithm is described and several numerical examples are given.

UR - https://www.scopus.com/pages/publications/0033741358

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DO - 10.1080/00207160008804915

M3 - Article

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SN - 0020-7160

VL - 73

SP - 517

EP - 530

JO - International Journal of Computer Mathematics

JF - International Journal of Computer Mathematics

IS - 4

ER -

Quadratic method for computing the eigenpairs of a matrix

Abstract

Bibliographical note

ASJC Scopus subject areas

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