Existence of matrices with prescribed entries

DOI10.1016/0024-3795(86)90242-9zbMath0581.15004OpenAlexW1990469205MaRDI QIDQ1068161

Zaballa, I.

Publication date: 1986

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

Full work available at URL: https://dialnet.unirioja.es/servlet/oaiart?codigo=118111

zbMATH Keywords

prescribed characteristic polynomialnonderogatory matrixprescribed entries

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21)

Related Items (12)

Completion of a partial integral matrix to a unimodular matrix ⋮ Sums and products of matrices with prescribed similarity classes ⋮ Special loop connections of linear systems ⋮ Characteristic polynomials and controllability of partially prescribed matrices ⋮ Matrix completion problems ⋮ Matrices with prescribed eigenvalues and prescribed submatrices ⋮ Eigenvalues of matrices with several prescribed blocks ⋮ Inverse matrix eigenvalue problems ⋮ Invariant polynomials of matrices with prescibed entries ⋮ Report on the Dublin Matrix Theory Conference, March 1984 ⋮ On the number of invariant polynomials of partially prescribed matrices ⋮ Eigenvalues of matrices with several prescribed blocks. II

Cites Work

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• Matrices with prescribed entries and eigenvalues. III
• Interlacing inequalities for invariant factors
• Imbedding conditions for \(\lambda\)-matrices
• Matrices with Prescribed Characteristic Polynomials
• Matrices with Prescribed Characteristic Roots and Diagonal Elements
• Existence of matrices with prescribed eigenvalues and entries
• Matrices with prescribed submatrices
• Matrices with Prescribed Entries and Characteristic Polynomial
• On the eigenvalues of the matrix
• On the matrix equations $AX - XB = C$ and $AX - YB = C$
• On Similarity and the Diagonal of a Matrix
• Eigenvalues of Matrices with Prescribed Entries
• Matrices with Prescribed Entries and Eigenvalues. I
• Matrices with Prescribed Entries and Eigenvalues. II

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