Primitive symmetric matrices and their preservers

DOI10.1080/03081087.2016.1175414zbMath1367.15047OpenAlexW2339511643MaRDI QIDQ2961456

Seok-Zun Song, Leroy B. Beasley

Publication date: 20 February 2017

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

Full work available at URL: https://doi.org/10.1080/03081087.2016.1175414

zbMATH Keywords

linear transformationlinear preserverlinear operatorsymmetric matricesBoolean matricesBoolean semiringprimitive matricesformally real semiring

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear transformations, semilinear transformations (15A04) Semirings (16Y60) Linear preserver problems (15A86) Boolean and Hadamard matrices (15B34)

Related Items (3)

Linear maps on nonnegative symmetric matrices preserving the independence number ⋮ STRONG PRESERVERS OF SYMMETRIC ARCTIC RANK OF NONNEGATIVE REAL MATRICES ⋮ Term rank preservers of bisymmetric matrices over semirings

Cites Work

• Preservers of term ranks of symmetric matrices
• Regular matrices and their strong preservers over semirings
• Linear operators strongly preserving idempotent matrices over semirings
• Strong linear preservers of symmetric doubly stochastic or doubly substochastic matrices.
• Linear preservers of term ranks of matrices over semirings
• Linear Preserver Problems
• On linear operators strongly preserving invariants of Boolean matrices
• Linear preservers of idempotence on triangular matrix spaces over any field
• Matrix Analysis
• LINEAR PRESERVERS OF BOOLEAN NILPOTENT MATRICES

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