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Matrices with
prescribed characteristic polynomial and a prescribed
submatrix. I
Graciano de Oliveira |
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Vol. 29 (1969), No. 3, 653–661
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Abstract |
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Let A be an arbitrary (complex) n × n matrix and let f(λ) be a polynomial (with complex coefficients) of degree n + 1 with leading coefficient (−1)n+1. In this paper we solve the problem: under what conditions does there exist an (n + 1) × (n + 1) (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: 5 March 1968
Published: 1 June 1969
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Authors |
| Graciano de Oliveira | |
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