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Matrices with
prescribed characteristic polynomial and a prescribed
submatrix. II
Graciano de Oliveira |
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Vol. 29 (1969), No. 3, 663–667
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Abstract |
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Let A = [aij] be an n × n complex matrix and f(λ) be a polynomial with complex coefficients of degree n + k and leading coefficient (−1)n+k. In the present paper we solve the following problem: under what conditions does there exist an (n + k) × (n + k) complex matrix B of which A is the submatrix standing in the top left-hand corner and such that f(λ) is its characteristic polynomial? |
Mathematical Subject Classification
Primary: 15.30
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Milestones
Received: 10 May 1968
Published: 1 June 1969
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Authors |
| Graciano de Oliveira | |
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