Linear transformations that map the P-matrices into themselves

DOI10.1016/0024-3795(86)90113-8zbMath0591.15001OpenAlexW2019486683MaRDI QIDQ1074684

Charles R. Johnson, Daniel Hershkowitz

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90113-8

zbMATH Keywords

P-matrixlinear transformationspositive principal minors

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Hermitian, skew-Hermitian, and related matrices (15B57) Linear transformations, semilinear transformations (15A04)

Related Items (5)

Linear mappings which preserve acyclicity properties of graphs and digraphs and applications to matrices ⋮ Chapter 9: miscellaneous preserver problems ⋮ Linear preserver problems: A brief introduction and some special techniques ⋮ Linear preservers of copositive matrices ⋮ Linear transformations which map the classes of \(\omega\)-matrices and \(\tau\)-matrices into or onto themselves

Cites Work

• Linear transformations that preserve certain positivity classes of matrices

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