Nilpotent completions of partial upper triangular matrices

DOI10.1016/j.laa.2004.04.018zbMath1061.15015OpenAlexW2073897468MaRDI QIDQ1886536

Ana M. Urbano

Publication date: 18 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.04.018

zbMATH Keywords

inequalitiestraceJordan formirreduciblepartial matrixminimal rankcompletion problempartial upper triangular matricesnilpotent completionsSegre characteristic

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Inverse problems in linear algebra (15A29) Miscellaneous inequalities involving matrices (15A45) Canonical forms, reductions, classification (15A21)

Cites Work

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• On the Jordan form of completions of partial upper triangular matrices
• On the eigenvalues of matrices with given upper triangular part
• A classification of upper equivalent matrices. The generic case
• Jordan forms of completions of partial upper triangular matrices
• An algorithm for nilpotent completions of partial Jordan matrices
• Minimal rank completions for block matrices
• Jordan structures of strictly lower triangular completions of nilpotent matrices

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