Additive decomposition of nonnegative matrices with applications to permanents and scalingt

DOI10.1080/03081088808817857zbMath0643.15006OpenAlexW2000642762MaRDI QIDQ3784979

Chi-Kwong Li, Hans Schneider, Shmuel Friedland

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/03081088808817857

zbMATH Keywords

upper boundnonnegative matriceslower boundadditive decompositionpermanentscaling parameters

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Conditioning of matrices (15A12)

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Cites Work

• Applications of an inequality in information theory to matrices
• On diagonal products of doubly stochastic matrices
• A proof of Fulkerson's characterization of permutation matrices
• A lower bound for the permanent of a doubly stochastic matrix
• The spectrum of a nonlinear operator associated with a matrix
• The diagonal equivalence of a nonnegative matrix to a stochastic matrix
• Cones, graphs and optimal scalings of matrices
• The Maximum Number of Disjoint Permutations Contained in a Matrix of Zeros and Ones