Diagonal Equivalence to Matrices with Prescribed Row and Column Sums. II

DOI10.2307/2040061zbMath0297.15009OpenAlexW4240223263MaRDI QIDQ4050728

Richard Sinkhorn

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/2040061

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Canonical forms, reductions, classification (15A21)

Related Items (12)

Biwhitening Reveals the Rank of a Count Matrix ⋮ Scaling symmetric positive definite matrices to prescribed row sums. ⋮ The Wasserstein metric matrix and its computational property ⋮ On Sinkhorn's representation of nonnegative matrices ⋮ Biproportional scaling of matrices and the iterative proportional fitting procedure ⋮ The DAD Theorem for Arbitrary Row Sums ⋮ Sinkhorn–Knopp theorem for rectangular positive maps ⋮ Optimal adaptivity of signed-polygon statistics for network testing ⋮ Positive contraction mappings for classical and quantum Schrödinger systems ⋮ Sinkhorn-Knopp theorem for PPT states ⋮ On pairs of multidimensional matrices ⋮ On an interaction function for copulas

Cites Work

• Unnamed Item
• Concerning nonnegative matrices and doubly stochastic matrices
• The spectrum of a nonlinear operator associated with a matrix
• On matrices with doubly stochastic pattern
• The diagonal equivalence of a nonnegative matrix to a 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
• Note on Nonnegative Matrices

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