On the eigenvalues of matrices with prescribed upper triangular part

DOI10.1080/03081089908818607zbMath0935.15005OpenAlexW2021437037MaRDI QIDQ4264404

Fernando Conceição Silva

Publication date: 21 November 1999

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081089908818607

zbMATH Keywords

eigenvaluescharacteristic polynomialsprescribed upper triangular part

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18)

Cites Work

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• Matrices with prescribed eigenvalues and blocks
• On the eigenvalues of matrices with given upper triangular part
• Matrices with prescribed rows and invariant factors
• A classification of upper equivalent matrices. The generic case
• Similarity invariants of completions of submatrices
• Jordan forms of completions of partial upper triangular matrices
• Controllability and completion of partial upper triangular matrices over rings
• Interlacing inequalities for invariant factors
• Imbedding conditions for \(\lambda\)-matrices
• Controllability by completions of partial upper triangular matrices
• Matrices with prescribed submatrices and number of invariant polynomials
• Eigenvalues of matrices with given block upper triangular part
• Matrices with prescribed lower triangular part
• Matrices with prescribed invariant factors and off-diagonal submatrices
• Eigenvalues of completions of submatrices
• On controllability of partially prescribed matrices