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Numerical Methods for Structured Markov Chains$
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Dario A. Bini, Guy Latouche, and Beatrice Meini

Print publication date: 2005

Print ISBN-13: 9780198527688

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198527688.001.0001

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FUNCTIONAL ITERATIONS

FUNCTIONAL ITERATIONS

Chapter:
(p.141) 6 FUNCTIONAL ITERATIONS
Source:
Numerical Methods for Structured Markov Chains
Author(s):

D. A. Bini

G. Latouche

B. Meini

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198527688.003.0006

The major iterative algorithms based on functional iteration techniques for solving nonlinear matrix equations are described, analysed, and compared in this chapter. First, the basic concepts on fixed point iterations are recalled, then linearly convergent iterations are treated, and finally Newton’s iteration is considered.

Keywords:   iterative algorithms, nonlinear matrix equations, fixed point iterations, Newton’s iteration

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