Linear preservers of copositive matrices

DOI10.1080/03081087.2019.1692775zbMath1472.15040OpenAlexW2990667872MaRDI QIDQ4959287

Susana Furtado, Charles R. Johnson, Yu Lin Zhang

Publication date: 13 September 2021

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

Full work available at URL: http://hdl.handle.net/1822/63718

zbMATH Keywords

linear preservercopositive matrixcongruencerank preserverstandard formmonomial matrix

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Linear transformations, semilinear transformations (15A04) Linear preserver problems (15A86)

Related Items (2)

Linear mappings preserving the copositive cone ⋮ Linear mappings preserving the completely positive rank

Cites Work

• Unnamed Item
• Linear transformations that preserve certain positivity classes of matrices
• Linear transformations that map the P-matrices into themselves
• Criteria for copositive matrices
• Linear transformations which preserve or decrease rank
• Positive semidefinite biquadratic forms
• A test for copositive matrices
• On copositive matrices
• Positive operators and an inertia theorem
• Linear Transformations on Algebras of Matrices
• Matrix Positivity
• Open problems in the theory of completely positive and copositive matrices

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