D//\(1AD_ 2 \)theorems for multidimensional matrices

DOI10.1016/0024-3795(82)90125-2zbMath0503.15008OpenAlexW2033460603WikidataQ126643026 ScholiaQ126643026MaRDI QIDQ1173136

Ravindra B. Bapat

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0024-3795(82)90125-2

zbMATH Keywords

multidimensional matricesDAD theoremsprescribed line sums

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Canonical forms, reductions, classification (15A21) Stochastic matrices (15B51)

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Cites Work

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• Doubly stochastic operators obtained from positive operators
• Scaling of matrices to achieve specified row and column sums
• The diagonal equivalence of a nonnegative matrix to a stochastic matrix
• The DAD theorem for symmetric non-negative matrices
• The DAD Theorem for Arbitrary Row Sums
• A Relationship Between Arbitrary Positive Matrices and Doubly Stochastic Matrices
• A Relationship between Arbitrary Positive Matrices and Stochastic Matrices
• Reduction of a Matrix with Positive Elements to a Doubly Stochastic Matrix
• Convex Sets of Non-Negative Matrices
• Matrix Links, An Extremization Problem, and the Reduction of a Non-Negative Matrix to One With Prescribed Row and Column Sums