Analytic Perturbation Theory and Its Applications PDF
By:Konstantin E. Avrachenkov,Jerzy A. Filar,Phil G. Howlett
Published on 2013-12-11 by SIAM
Mathematical models are often used to describe complex phenomena such as climate change dynamics, stock market fluctuations, and the Internet. These models typically depend on estimated values of key parameters that determine system behavior. Hence it is important to know what happens when these values are changed. The study of single-parameter deviations provides a natural starting point for this analysis in many special settings in the sciences, engineering, and economics. The difference between the actual and nominal values of the perturbation parameter is small but unknown, and it is important to understand the asymptotic behavior of the system as the perturbation tends to zero. This is particularly true in applications with an apparent discontinuity in the limiting behavior?the so-called singularly perturbed problems. Analytic Perturbation Theory and Its Applications includes a comprehensive treatment of analytic perturbations of matrices, linear operators, and polynomial systems, particularly the singular perturbation of inverses and generalized inverses. It also offers original applications in Markov chains, Markov decision processes, optimization, and applications to Google PageRank? and the Hamiltonian cycle problem as well as input retrieval in linear control systems and a problem section in every chapter to aid in course preparation.
This Book was ranked at 18 by Google Books for keyword Analytic.
Book ID of Analytic Perturbation Theory and Its Applications's Books is t69yAgAAQBAJ, Book which was written byKonstantin E. Avrachenkov,Jerzy A. Filar,Phil G. Howletthave ETAG "yTZ/HbSKywc"
Book which was published by SIAM since 2013-12-11 have ISBNs, ISBN 13 Code is 9781611973143 and ISBN 10 Code is 1611973147
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Book which have "372 Pages" is Printed at BOOK under CategoryPerturbation (Mathematics)
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