A numerically stable algorithm for the inverse eigenproblem

M. A. Shalaby

doi:10.1080/00207169408804290

A numerically stable algorithm for the inverse eigenproblem

M. A. Shalaby^*

^*Corresponding author for this work

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

Abstract

A new algorithm for the inverse eigenproblem of a controllable pair (A, B) is presented. The proposed method is based on the controllability canonical form and the algorithm is numerically stable, non-iterative and produces a semi-robust least-squares solution. The method copes with both complex eigenvalues and real ones. Two illustrative example as well as comparative study are given.

Original language	English (US)
Pages (from-to)	55-64
Number of pages	10
Journal	International Journal of Computer Mathematics
Volume	52
Issue number	1-2
DOIs	https://doi.org/10.1080/00207169408804290
State	Published - Jan 1 1994
Externally published	Yes

Keywords

Eigenvalue assignment
Inverse eigenproblem
Unitary transformation

ASJC Scopus subject areas

Computer Science Applications
Computational Theory and Mathematics
Applied Mathematics

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10.1080/00207169408804290

Cite this

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abstract = "A new algorithm for the inverse eigenproblem of a controllable pair (A, B) is presented. The proposed method is based on the controllability canonical form and the algorithm is numerically stable, non-iterative and produces a semi-robust least-squares solution. The method copes with both complex eigenvalues and real ones. Two illustrative example as well as comparative study are given.",

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AB - A new algorithm for the inverse eigenproblem of a controllable pair (A, B) is presented. The proposed method is based on the controllability canonical form and the algorithm is numerically stable, non-iterative and produces a semi-robust least-squares solution. The method copes with both complex eigenvalues and real ones. Two illustrative example as well as comparative study are given.

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KW - Unitary transformation

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A numerically stable algorithm for the inverse eigenproblem

Abstract

Keywords

ASJC Scopus subject areas

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