Perturbation Matrices for Finitely Perturbed Banach Systems PDF Download
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Author: Robert D. Brown
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 34
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Book Description
Author: Robert D. Brown
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 34
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Book Description
Author: H. Baumgärtel
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112721810
Category : Mathematics
Languages : en
Pages : 428
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Book Description
No detailed description available for "Analytic Perturbation Theory for Matrices and Operators".
Author: Tosio Kato
Publisher: Springer Science & Business Media
ISBN: 3662126788
Category : Mathematics
Languages : en
Pages : 610
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Book Description
Author: Konstantin E. Avrachenkov
Publisher: SIAM
ISBN: 1611973147
Category : Mathematics
Languages : en
Pages : 384
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Book Description
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.
Author: Andrzej Wakulicz
Publisher:
ISBN:
Category : Computational mathematics and applications
Languages : en
Pages : 804
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Book Description
Author: Sergio Albeverio
Publisher: Cambridge University Press
ISBN: 9780521779128
Category : Mathematics
Languages : en
Pages : 454
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Book Description
This is a systematic mathematical study of differential (and more general self-adjoint) operators.
Author: Mark Pollicott
Publisher: Springer
ISBN: 3319721798
Category : Mathematics
Languages : en
Pages : 207
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Book Description
The focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball. The ultimate goal is to understand the asymptotic behavior of the escape rate as the radius of the ball tends to zero. In the case of hyperbolic conformal systems this has been addressed by various authors. The conformal maps considered in this book are far more general, and the analysis correspondingly more involved. The asymptotic existence of escape rates is proved and they are calculated in the context of (finite or infinite) countable alphabets, uniformly contracting conformal graph-directed Markov systems, and in particular, conformal countable alphabet iterated function systems. These results have direct applications to interval maps, rational functions and meromorphic maps. Towards this goal the authors develop, on a purely symbolic level, a theory of singular perturbations of Perron--Frobenius (transfer) operators associated with countable alphabet subshifts of finite type and Hölder continuous summable potentials. This leads to a fairly full account of the structure of the corresponding open dynamical systems and their associated surviving sets.
Author: Fiacco
Publisher: CRC Press
ISBN: 1000153436
Category : Mathematics
Languages : en
Pages : 174
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Book Description
This book presents theoretical results, including an extension of constant rank and implicit function theorems, continuity and stability bounds results for infinite dimensional problems, and the interrelationship between optimal value conditions and shadow prices for stable and unstable programs.
Author: Michael I. Gil'
Publisher: Springer Science & Business Media
ISBN: 1461555752
Category : Mathematics
Languages : en
Pages : 363
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Book Description
The aim of Stability of Finite and Infinite Dimensional Systems is to provide new tools for specialists in control system theory, stability theory of ordinary and partial differential equations, and differential-delay equations. Stability of Finite and Infinite Dimensional Systems is the first book that gives a systematic exposition of the approach to stability analysis which is based on estimates for matrix-valued and operator-valued functions, allowing us to investigate various classes of finite and infinite dimensional systems from the unified viewpoint. This book contains solutions to the problems connected with the Aizerman and generalized Aizerman conjectures and presents fundamental results by A. Yu. Levin for the stability of nonautonomous systems having variable real characteristic roots. Stability of Finite and Infinite Dimensional Systems is intended not only for specialists in stability theory, but for anyone interested in various applications who has had at least a first-year graduate-level course in analysis.
Author: Anthony V. Fiacco
Publisher: CRC Press
ISBN: 1000153665
Category : Mathematics
Languages : en
Pages : 460
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Book Description
Presents research contributions and tutorial expositions on current methodologies for sensitivity, stability and approximation analyses of mathematical programming and related problem structures involving parameters. The text features up-to-date findings on important topics, covering such areas as the effect of perturbations on the performance of algorithms, approximation techniques for optimal control problems, and global error bounds for convex inequalities.
