Abstract: Given an n×n complex matrix A define the matrix polytope determined by A as P(A)={AD|D=diag(d1,…,dn),−1⩽di⩽1,i=1,…,n}. We investigate the class of matrices A such that every eigenvalue of every member of P(A) is contained in the convex hull of the eigenvalues of the extreme points of P(A).
Publication Year: 2003
Publication Date: 2003-02-04
Language: en
Type: article
Indexed In: ['crossref']
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