Analytic Perturbation Theory and Its Applications is popular PDF and ePub book, written by Konstantin E. Avrachenkov in 2013-12-11, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Analytic Perturbation Theory and Its Applications can be Read Online from any device for your convenience.
Analytic Perturbation Theory and Its Applications Book PDF Summary
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.
Detail Book of Analytic Perturbation Theory and Its Applications PDF
- Author : Konstantin E. Avrachenkov
- Release : 11 December 2013
- Publisher : SIAM
- ISBN : 9781611973136
- Genre : Mathematics
- Total Page : 384 pages
- Language : English
- PDF File Size : 17,6 Mb
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