• EIGEN VALUE AND STATIONARY DISTRIBUTION OF DOUBLY STOCHASTIC MATRIX
Abstract
Different types of symmetric doubly stochastic matrix are formed to using the respective eigen values. The basic concepts and theorems of symmetric doubly stochastic matrices using eigen values are introduced with examples. A simple graph theoretic formula for finding the stationary distribution value to the well-known flow graph formulae. In case of Markov chains arc “weights” correspond to the transition probabilities Pij. Using this method to draw the transition graph and find the stationary distribution.
Keywords
Symmetric doubly stochastic matrix [5], Stationary distribution of the symmetric doubly stochastic matrix [11] and, eigen value of the symmetric doubly stochastic matrix [6].
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