MARKOV FINITE APPROXIMATION OF FROBENIUS-PERRON OPERATOR WITH DOUBLY-STOCHASTIC TRIDIAGONAL ACTION MATRIX

Authors
MOGHADAM MM SABETI R
Citation
Mm. Moghadam et R. Sabeti, MARKOV FINITE APPROXIMATION OF FROBENIUS-PERRON OPERATOR WITH DOUBLY-STOCHASTIC TRIDIAGONAL ACTION MATRIX, Applied mathematics and computation, 85(2-3), 1997, pp. 265-280
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics and computation → ACNP
ISSN journal
00963003
Volume
85
Issue
2-3
Year of publication
1997
Pages
265 - 280
Database
ISI
SICI code
0096-3003(1997)85:2-3<265:MFAOFO>2.0.ZU;2-9
Abstract
We extend the set of finite rank approximations of Frobenius-Perron op erators, from projections, to general finite rank operators by indicat ing an arbitrary action matrix. We prove the convergence in the case f or which the action matrix is double-stochastic and tridiagonal, and w e find the rate of convergence. (C) Elsevier Science Inc., 1997.