Orderings on semirings and completely positive matrices

DOI10.1080/03081087.2015.1059405zbMath1382.15044OpenAlexW2332184699MaRDI QIDQ2805666

Rajesh Pereira, Preeti Mohindru

Publication date: 12 May 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1059405

zbMATH Keywords

completely positive matricesdiagonally dominant matricesmatrices over semiringsordered semiringsinclines

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Positive matrices and their generalizations; cones of matrices (15B48) Semirings (16Y60) Ordered rings, algebras, modules (06F25)

Related Items (3)

Preservers of completely positive matrix rank for inclines ⋮ Cholesky decomposition of matrices over commutative semirings ⋮ The DJL Conjecture for CP Matrices over Special Inclines

Cites Work

• On nonnegative factorization of matrices
• Orderings on semirings
• Nonnegative factorization of completely positive matrices
• Nonnegative factorization of positive semidefinite nonnegative matrices
• Inclines and incline matrices: A survey.
• Max-algebra: The linear algebra of combinatorics?
• Note on a simple type of algebra in which the cancellation law of addition does not hold
• The Drew–Johnson–Loewy conjecture for matrices over max–min semirings

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