Markov finite approximation of Frobenius-Perron operator with doubly-stochastic tridiagonal action matrix
type: Item
instance of: scholarly article
title: Markov finite approximation of Frobenius-Perron operator with doubly-stochastic tridiagonal action matrix
zbMATH Open document ID: 0929.65002
DOI: 10.1016/S0096-3003(96)00140-3
author: M. Mohseni Moghadam
author: Rostam Sabeti
published in: Applied Mathematics and Computation
publication date: 1997-09-17T00:00:00Z
review text: The authors extend the set of finite rank approximations of Frobenius-Perron operators from projection to general finite rank operators. They associate an \(n\times n\) matrix (action matrix) to each finite rank approximation operator. The authors propose the Markov finite approximation of a Frobenius-Perron operator, based on a doubly-stochastic and tridiagonal matrix and demonstrate the convergence of the approximation. The rate of convergence of the proposed method is found to be \(O(1/n)\).
Mathematics Subject Classification ID: 65C50
Mathematics Subject Classification ID: 60H25
zbMATH DE Number: 1062211
zbMATH Keywords: doubly-stochastic tridiagonal action matrix
zbMATH Keywords: Markov finite approximation
zbMATH Keywords: Frobenius-Perron operator
zbMATH Keywords: finite rank operators
zbMATH Keywords: convergence
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1062211