Linear transformations that preserve certain positivity classes of matrices

DOI10.1016/0024-3795(85)90205-8zbMath0583.15013OpenAlexW2128880421MaRDI QIDQ1070008

Daniel Hershkowitz, Abraham Berman, Charles R. Johnson

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90205-8

zbMATH Keywords

permutation matrixlinear transformationsdiagonal matrixpositive principal minors

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Linear transformations, semilinear transformations (15A04)

Related Items (9)

Linear mappings which preserve acyclicity properties of graphs and digraphs and applications to matrices ⋮ Totally positive matrices and cyclic polytopes ⋮ Chapter 9: miscellaneous preserver problems ⋮ On ``P property and the column-W property ⋮ Linear preserver problems: A brief introduction and some special techniques ⋮ Linear preservers of semi-positive matrices ⋮ Linear preservers of copositive matrices ⋮ Linear transformations that map the P-matrices into themselves ⋮ Linear transformations which map the classes of \(\omega\)-matrices and \(\tau\)-matrices into or onto themselves

Cites Work

• Three types of matrix stability
• Positive operators and an inertia theorem
• Real, 3 x 3, D-stable matrices
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