The eigenvalues of the sum of matrices with prescribed invariant polynomials * |
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Authors: | F. Conceição Silva |
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Affiliation: | Departamento de Matemática , Faculdade de Ciências de Lisboa , Rua Ernesto de Vasconcelos, Bloco CI. 3°Piso, Lisboa, 1700, Portugal |
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Abstract: | Let A and B be n×n matrices over a field F, and c 1,…,cn ∈F. We give a sufficient condition for the existence of matrices A' and B' similar to A and B, respectively, such that A' + B' has eigenvalues c 1,…,cn . |
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