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Doubly Stochastic Processing on Jacket Matrices
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2004We proposed a novel method to generalize a set of 2" /spl times/ 2" and 2n /spl times/ 2n matrices named generalized doubly stochastic Jacket matrices, also orthostochastic cases are included. Generally, the proposed scheme uses a simple matrix factorization method to represent the doubly stochastic, Markov vectors and eigenvalues, and it can be easily
Jia Hou, Moon Ho Lee, Kwangjae Lee
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On the Hamiltonicity Gap and doubly stochastic matrices
Random Structures & Algorithms, 2008AbstractWe consider the Hamiltonian cycle problem embedded in singularly perturbed (controlled) Markov chains. We also consider a functional on the space of stationary policies of the process that consists of the (1,1)‐entry of the fundamental matrices of the Markov chains induced by these policies.
Vivek S. Borkar +2 more
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Characterization, parity, and power sequences of locally finite doubly stochastic matrices [PDF]
We show that infinite locally finite doubly stochastic matrices are particular limits of sequences of finite doubly stochastic matrices and reciprocally. Thereby, we define the parity in the set of infinite locally finite doubly stochastic matrices.
Rénier, Simon
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2010
An important tool in the study of majorization is a theorem due to Hardy, Littlewood, and Polya (1929) which states that for x, yЄRn,x < y if and only if x = yP for some doubly stochastic matrix P.
Albert W. Marshall +2 more
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An important tool in the study of majorization is a theorem due to Hardy, Littlewood, and Polya (1929) which states that for x, yЄRn,x < y if and only if x = yP for some doubly stochastic matrix P.
Albert W. Marshall +2 more
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Random doubly stochastic tridiagonal matrices
Random Structures & Algorithms, 2012AbstractLet \documentclass{article}\usepackage{mathrsfs}\usepackage{amsmath, amssymb}\pagestyle{empty}\begin{document}\begin{align*}{\mathcal T}\end{align*} \end{document}n be the compact convex set of tridiagonal doubly stochastic matrices. These arise naturally in probability problems as birth and death chains with a uniform stationary distribution ...
Persi Diaconis, Philip Matchett Wood
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Diagonal Elements of Doubly-Stochastic Matrices
The Mathematical Gazette, 1961A square matrix is said to be doubly-stochastic if its elements are non-negative and if all row-sums and column-sums are equal to 1. The study of doubly-stochastic matrices was initiated by I.
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Permanents of Random Doubly Stochastic Matrices
Canadian Journal of Mathematics, 1974The permanent of ann×nmatrixA= (aij) is defined aswhereSnis the symmetric group of ordern. For a survey article on permanents the reader is referred to [2]. An unresolved conjecture due to van der Waerden states that ifAis ann×ndoubly stochastic matrix; then per (A) ≧n!/nn, with equality if and only ifA=Jn= (1/n).
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Row Stochastic Matrices Similar to Doubly Stochastic Matrices
Linear and Multilinear Algebra, 1981The problem of determining which row stochastic n-by-n matrices are similar to doubly stochastic matrices is considered. That not all are is indicated by example, and an abstract characterization as well as various explicit sufficient conditions are given.
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A Correction to "On a Conjecture Concerning Doubly Stochastic Matrices"
Proceedings of the American Mathematical Society, 1954Professor A. Horn has kindly pointed out to me in a letter dated February 15, 1953, that the proof contained in On a conjecture concerning doubly stochastic matrices, Proc. Amer. Math. Soc. vol. 3, pp. 511— 513, is incorrect. The extension described on lines 3 et seq. on p. 513 cannot always be carried out.
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DIAGONALS OF DOUBLY STOCHASTIC MATRICES
The Quarterly Journal of Mathematics, 1959Marcus, M., Ree, R.
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