An extension of a theorem of Darroch and Ratcliff in loglinear models and its application to scaling multidimensional matrices
From MaRDI portal
Publication:1112910
DOI10.1016/0024-3795(89)90489-8zbMath0661.15005OpenAlexW1972492882MaRDI QIDQ1112910
Ravindra B. Bapat, Thirukkannamangai E. S. Raghavan
Publication date: 1989
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(89)90489-8
Related Items
A theorem of the alternative for multihomogeneous functions and its relationship to diagonal scaling of matrices, Matrix scaling: A geometric proof of Sinkhorn's theorem, Matrix scaling, entropy minimization, and conjugate duality. I: Existence conditions, On the scaling of multidimensional matrices, Scalings of matrices which have prespecified row sums and column sums via optimization, Generalized scalings satisfying linear equations, Unnamed Item, Positive diagonal scaling of a nonnegative tensor to one with prescribed slice sums, Matrix scaling, entropy minimization, and conjugate duality. II: The dual problem, Equitable allocation of divisible goods, Order independence and factor convergence in iterative scaling, Better and simpler error analysis of the Sinkhorn-Knopp algorithm for matrix scaling, A class of ``onto multifunctions, On the rate of convergence of deterministic and randomized RAS matrix scaling algorithms
Cites Work
- On pairs of multidimensional matrices
- On the scaling of multidimensional matrices
- Generalized scalings satisfying linear equations
- D//\(1AD_ 2 \)theorems for multidimensional matrices
- Methods for scaling to doubly stochastic form
- Concerning nonnegative matrices and doubly stochastic matrices
- The diagonal equivalence of a nonnegative matrix to a stochastic matrix
- Multinomial Probabilities, Permanents and a Conjecture of Karlin and Rinott
- A Relationship Between Arbitrary Positive Matrices and Doubly Stochastic Matrices
- Estimating Nonnegative Matrices from Marginal Data
- Maximum Entropy for Hypothesis Formulation, Especially for Multidimensional Contingency Tables
- Matrix Links, An Extremization Problem, and the Reduction of a Non-Negative Matrix to One With Prescribed Row and Column Sums
- Contingency tables with given marginals
- Generalized Iterative Scaling for Log-Linear Models
- A note on approximations to discrete probability distributions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
