On scaling to an integer matrix and graphs with integer weighted cycles

DOI10.1016/j.laa.2016.01.018zbMath1334.15044OpenAlexW2289318502MaRDI QIDQ269302

Marie MacCaig

Publication date: 18 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.01.018

zbMATH Keywords

integer matrices\(\max\)-plus algebradiagonal similarity scalingdirect similarity scalinginteger cyclessymmetric scaling

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrix equations and identities (15A24) Max-plus and related algebras (15A80)

Cites Work

• Flows on graphs applied to diagonal similarity and diagonal equivalence for matrices
• Minimax algebra
• Max-linear Systems: Theory and Algorithms
• Diagonal similarity and equivalence for matrices over groups with 0
• Scaling Matrices to Prescribed Row and Column Maxima
• Algorithms for Testing the Diagonal Similarity of Matrices and Related Problems
• Applications of max algebra to diagonal scaling of matrices
• Unnamed Item

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