Linear preservers of minimal rank

DOI10.1016/S0024-3795(00)00045-8zbMath0968.15001WikidataQ127436395 ScholiaQ127436395MaRDI QIDQ1978118

Leiba Rodman, Peter Šemrl

Publication date: 19 September 2001

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

zbMATH Keywords

upper triangular matricesrank preserversminimal rankcompletion problemtriangular similarity

Mathematics Subject Classification ID

Inverse problems in linear algebra (15A29) Vector spaces, linear dependence, rank, lineability (15A03) Canonical forms, reductions, classification (15A21)

Related Items

Additive preservers of numerical range ⋮ Linear/additive preservers of rank 2 on spaces of alternate matrices over fields

Cites Work

• A classification of upper equivalent matrices. The generic case
• Minimal rank completions for block matrices
• Partially specified matrices and operators: classification, completion, applications
• Normal forms of generic triangular band matrices and Jordan forms of nilpotent completions
• Linear Transformations on Algebras of Matrices
• Perturbations, Singular Values, and Ranks of Partial Triangular Matrices

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