Matrices with prescribed eigenvalues and prescribed submatrices

Author: Cravo Gloria  

Publisher: Taylor & Francis Ltd

ISSN: 0308-1087

Source: Linear and Multilinear Algebra, Vol.57, Iss.7, 2009-01, pp. : 737-748

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Abstract

Let F be a field and let n, p1, p2, p3 be positive integers such that n = p1 + p2 + p3. Let [image omitted] where the blocks Ci,j∈Fpi × pj, i, j ∈ {1, 2, 3}. In this article we study the possible eigenvalues of C, when some of its blocks are fixed and the other blocks vary.