Matrix inequalities and the additive inverse eigenvalue problem

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1972 English Publisher:Springer Science and Business Media LLCJournal:Computing, volume 9, pages 95-100 (issn: 0010-485X, eissn: 1436-5057,

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Authors: G. N. Oliveira;

doi: 10.1007/bf02236959

Matrix inequalities and the additive inverse eigenvalue problem

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Abstract

LetA be anHermitiann×n matrix ands1, ...,sn real numbers; under what conditions does there exist a diagonal realn×n matrixM such thatA+M has eigenvaluess1, ...,sn? In the present note we prove a matrix inequality which gives a necessary condition for this problem to have a solution.

Related Organizations

UNIVERSIDADE DE SAO PAULO
Brazil
Universidade Federal de Pernambuco
Brazil

Keywords

Numerical computation of eigenvalues and eigenvectors of matrices, Eigenvalues, singular values, and eigenvectors, Miscellaneous inequalities involving matrices

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