Ranks of submatrices and the off-diagonal indices of a square matrix

DOI10.1016/S0024-3795(99)00166-4zbMath0953.15009OpenAlexW2033688211MaRDI QIDQ1968750

Eduardo Marques de Sá, Yu Lin Zhang

Publication date: 21 March 2000

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(99)00166-4

zbMATH Keywords

ranklinear pencilsimilarity classnonsingular minor

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Vector spaces, linear dependence, rank, lineability (15A03) Matrix pencils (15A22)

Related Items (1)

The number of Kronecker indices of square pencils of a special kind

Cites Work

• Unnamed Item
• Similarity invariants of completions of submatrices
• Interlacing inequalities for invariant factors
• Imbedding conditions for \(\lambda\)-matrices
• Matrices with prescribed invariant factors and off-diagonal submatrices
• Interlacing and degree conditios for invariat polynomials
• On the eigenvalues of the matrix
• On Similarity and the Diagonal of a Matrix

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