Nearest matrix with prescribed eigenvalues and its applications

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:298

Article

Kokabifar, E.¹  Loghmani, G. B.¹  Karbassi, S. M.² 

[1] Yazd Univ, Dept Math, Fac Sci, Yazd, Iran

[2] Islamic Azad Univ, Yazd Branch, Dept Math, Yazd, Iran

关键词: Matrix;    Eigenvalue;    Perturbation;    Singular value;   

DOI  :  10.1016/j.cam.2015.11.031

来源: Elsevier

【 摘 要 】

Consider an n x n matrix A and a set Lambda consisting of k <= n prescribed complex numbers. Lippert (2010) in a challenging article, studied geometrically the spectral norm distance from A to the set of matrices whose spectra included specified set Lambda and constructed a perturbation matrix Delta with minimum spectral norm such that A+Delta had Lambda in its spectrum. This paper presents an easy practical computational method for constructing the optimal perturbation Delta by improving and extending the methodology, necessary definitions and lemmas of previous related works. Also, some conceivable applications of this issue are provided. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free