Matrices with prescribed characteristic polynomial and several prescribed submatrices
- 1 January 1975
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 2 (4) , 357-364
- https://doi.org/10.1080/03081087508817081
Abstract
Let A = [Ajk ],j,k = 1,2 be a partitioned matrix. We consider the problems: find necessary and sufficient conditions for the existence of A if we prescribe (i) An and the characteristic polynomial ofA, or (ii)A 11,A 22, and the characteristic polynomial of A. We solve (i) and give a partial solution of (ii).Keywords
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