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- Title
Matrices with Prescribed Eigenvalues and Blocks, II.
- Authors
Cravo, Glória
- Abstract
Let F be a field and let n, p1, p2, p3 be positive integers such that n=p1+p2+p3. Let $$C=\left[ \begin{array}{ccc} C_{1,1} & C_{1,2} & C_{1,3}\\ C_{2,1} & C_{2,2} & C_{2,3}\\ C_{3,1} & C_{3,2} & C_{3,3} \end{array} \right] \in F^{n\times n},$$ where the blocks Ci,j are of type pi× pj (i, j∈ {1,2,3}) and C1,1, C2,2, C3,3 are square submatrices. In this paper we describe conditions for which it is possible to prescribe arbitrarily the eigenvalues of C, when three arbitrary positions are prescribed and the remaining are free.
- Subjects
EIGENVALUES; INVERSE problems; MATRICES (Mathematics); MATHEMATICAL analysis; HOUGH functions
- Publication
Algebra Colloquium, 2008, Vol 15, Issue 3, p517
- ISSN
1005-3867
- Publication type
Article
- DOI
10.1142/S1005386708000515