Nonlinear Perron Frobenius Theory
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Nonlinear Perron Frobenius Theory
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Author : Bas Lemmens
language : en
Publisher:
Release Date : 2014-05-14
Nonlinear Perron Frobenius Theory written by Bas Lemmens and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
"Sometimes in mathematics an innocent-looking observation opens up a new road to a fertile field. A nice example of such an observation is due to Garrett Birkhoff [23] and Hans Samelson [187], who remarked that one can use Hilbert's (projective) metric and the contraction mapping principle to prove some of the theorems of Perron and Frobenius concerning eigenvectors and eigenvalues of nonnegative matrices. This idea has been pivotal for the development of nonlinear Perron-Frobenius theory"--
Generalizations Of The Perron Frobenius Theorem For Nonlinear Maps
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Author : Roger D. Nussbaum
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Generalizations Of The Perron Frobenius Theorem For Nonlinear Maps written by Roger D. Nussbaum and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mappings categories.
The classical Frobenius-Perron Theorem establishes the existence of periodic points of certain linear maps in ${\mathbb R} DEGREESn$. The authors present generalizations of this theorem to nonlinea
Generalizations Of The Perron Frobenius Theorem For Nonlinear Maps
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Author : Roger D. Nussbaum (wiskundige)
language : en
Publisher:
Release Date : 1996
Generalizations Of The Perron Frobenius Theorem For Nonlinear Maps written by Roger D. Nussbaum (wiskundige) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Nonlinear Perron Frobenius Theory
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Author : Bas Lemmens
language : en
Publisher: Cambridge University Press
Release Date : 2012-05-03
Nonlinear Perron Frobenius Theory written by Bas Lemmens and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-03 with Mathematics categories.
Guides the reader through the nonlinear Perron-Frobenius theory, introducing them to recent developments and challenging open problems.
Wireless Network Optimization By Perron Frobenius Theory
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Author : Chee Wei Tan
language : en
Publisher:
Release Date : 2015
Wireless Network Optimization By Perron Frobenius Theory written by Chee Wei Tan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Wireless communication systems categories.
A basic question in wireless networking is how to optimize the wireless network resource allocation for utility maximization and interference management. How can we overcome interference to efficiently optimize fair wireless resource allocation, under various stochastic constraints on quality of service demands? Network designs are traditionally divided into layers. How does fairness permeate through layers? Can physical layer innovation be jointly optimized with network layer routing control? How should large complex wireless networks be analyzed and designed with clearly-defined fairness using beamforming? This monograph provides a comprehensive survey of the models, algorithms, analysis, and methodologies using a Perron-Frobenius theoretic framework to solve wireless utility maximization problems. This approach overcomes the notorious non-convexity barriers in these problems, and the optimal value and solution of the optimization problems can be analytically characterized by the spectral property of matrices induced by nonlinear positive mappings. It also provides a systematic way to derive distributed and fast-convergent algorithms and to evaluate the fairness of resource allocation. This approach can even solve several previously open problems in the wireless networking literature. More generally, this approach links fundamental results in nonnegative matrix theory and (linear and nonlinear) Perron-Frobenius theory with the solvability of non-convex problems. In particular, for seemingly nonconvex problems, e.g., max-min wireless fairness problems, it can solve them optimally; for truly nonconvex problems, e.g., sum rate maximization, it can even be used to identify polynomial-time solvable special cases or to enable convex relaxation for global optimization. To highlight the key aspects, we also list several case studies of using the nonlinear Perron-Frobenius theoretic framework for applications in MIMO wireless cellular, heterogeneous small-cell and cognitive radio networks. Key implications arising from these work along with several open issues are discussed in this monograph.
Positive Dynamical Systems In Discrete Time
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Author : Ulrich Krause
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2015-03-10
Positive Dynamical Systems In Discrete Time written by Ulrich Krause and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-10 with Mathematics categories.
This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds application in electrical engineering, physics and computer sciences. "The author has greatly expanded the field of positive systems in surprising ways." - Prof. Dr. David G. Luenberger, Stanford University(USA)
Mathematical Optimization Theory And Operations Research Recent Trends
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Author : Yury Kochetov
language : en
Publisher: Springer Nature
Release Date : 2022-09-29
Mathematical Optimization Theory And Operations Research Recent Trends written by Yury Kochetov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-29 with Mathematics categories.
This book constitutes refereed proceedings of the 21st International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2022, held in Petrozavodsk, Russia, in July 2022. The 21 full papers and 3 short papers presented in this volume were carefully reviewed and selected from a total of 88 submissions. The papers in the volume are organised according to the following topical headings: invited talks; integer programming and combinatorial optimization; mathematical programming; game theory and optimal control; operational research applications.
Defocusing Nonlinear Schr Dinger Equations
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Author : Benjamin Dodson
language : en
Publisher: Cambridge University Press
Release Date : 2019-03-28
Defocusing Nonlinear Schr Dinger Equations written by Benjamin Dodson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-28 with Mathematics categories.
Explores Schrödinger equations with power-type nonlinearity, with scattering results for mass- and energy-critical Schrödinger equations.
Smart Data Pricing
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Author : Soumya Sen
language : en
Publisher: John Wiley & Sons
Release Date : 2014-08-21
Smart Data Pricing written by Soumya Sen and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-21 with Technology & Engineering categories.
A comprehensive text addressing the high demand for network, cloud, and content services through cutting-edge research on data pricing and business strategies Smart Data Pricing tackles the timely issue of surging demand for network, cloud, and content services and corresponding innovations in pricing these services to benefit consumers, operators, and content providers. The pricing of data traffic and other services is central to the core challenges of network monetization, growth sustainability, and bridging the digital divide. In this book, experts from both academia and industry discuss all aspects of smart data pricing research and development, including economic analyses, system development, user behavior evaluation, and business strategies. Smart Data Pricing: • Presents the analysis of leading researchers from industry and academia surrounding the pricing of network services and content. • Discusses current trends in mobile and wired data usage and their economic implications for content providers, network operators, end users, government regulators, and other players in the Internet ecosystem. • Includes new concepts and background technical knowledge that will help researchers and managers effectively monetize their networks and improve user quality-of-experience. • Provides cutting-edge research on business strategies and initiatives through a diverse collection of perspectives. • Combines academic and industry expertise from multiple disciplines and business organizations. The ideas and background of the technologies and economic principles discussed within these chapters are of real value to practitioners, researchers, and managers in identifying trends and deploying new pricing and network management technologies, and will help support managers in identifying new business directions and innovating solutions to challenging business problems.
Topics In Nonlinear Analysis Applications
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Author : Donald H. Hyers
language : en
Publisher: World Scientific
Release Date : 1997
Topics In Nonlinear Analysis Applications written by Donald H. Hyers and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
This book develops methods which explore some new interconnections and interrelations between Analysis and Topology and their applications. Emphasis is given to several recent results which have been obtained mainly during the last years and which cannot be found in other books in Nonlinear Analysis. Interest in this subject area has rapidly increased over the last decade, yet the presentation of research has been confined mainly to journal articles.