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Complexity Of Fixed Points I
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Book Synopsis Optimal Solution of Nonlinear Equations by : Krzysztof A. Sikorski
Download or read book Optimal Solution of Nonlinear Equations written by Krzysztof A. Sikorski and published by Oxford University Press. This book was released on 2001-01-18 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Solution of Nonlinear Equations is a text/monograph designed to provide an overview of optimal computational methods for the solution of nonlinear equations, fixed points of contractive and noncontractive mapping, and for the computation of the topological degree. It is of interest to any reader working in the area of Information-Based Complexity. The worst-case settings are analyzed here. Several classes of functions are studied with special emphasis on tight complexity bounds and methods which are close to or achieve these bounds. Each chapter ends with exercises, including companies and open-ended research based exercises.
Book Synopsis Fixed-Point Algorithms for Inverse Problems in Science and Engineering by : Heinz H. Bauschke
Download or read book Fixed-Point Algorithms for Inverse Problems in Science and Engineering written by Heinz H. Bauschke and published by Springer Science & Business Media. This book was released on 2011-05-27 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Fixed-Point Algorithms for Inverse Problems in Science and Engineering" presents some of the most recent work from top-notch researchers studying projection and other first-order fixed-point algorithms in several areas of mathematics and the applied sciences. The material presented provides a survey of the state-of-the-art theory and practice in fixed-point algorithms, identifying emerging problems driven by applications, and discussing new approaches for solving these problems. This book incorporates diverse perspectives from broad-ranging areas of research including, variational analysis, numerical linear algebra, biotechnology, materials science, computational solid-state physics, and chemistry. Topics presented include: Theory of Fixed-point algorithms: convex analysis, convex optimization, subdifferential calculus, nonsmooth analysis, proximal point methods, projection methods, resolvent and related fixed-point theoretic methods, and monotone operator theory. Numerical analysis of fixed-point algorithms: choice of step lengths, of weights, of blocks for block-iterative and parallel methods, and of relaxation parameters; regularization of ill-posed problems; numerical comparison of various methods. Areas of Applications: engineering (image and signal reconstruction and decompression problems), computer tomography and radiation treatment planning (convex feasibility problems), astronomy (adaptive optics), crystallography (molecular structure reconstruction), computational chemistry (molecular structure simulation) and other areas. Because of the variety of applications presented, this book can easily serve as a basis for new and innovated research and collaboration.
Book Synopsis Regularity and Complexity in Dynamical Systems by : Albert C. J. Luo
Download or read book Regularity and Complexity in Dynamical Systems written by Albert C. J. Luo and published by Springer Science & Business Media. This book was released on 2013-07-12 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regularity and Complexity in Dynamical Systems describes periodic and chaotic behaviors in dynamical systems, including continuous, discrete, impulsive, discontinuous, and switching systems. In traditional analysis, the periodic and chaotic behaviors in continuous, nonlinear dynamical systems were extensively discussed even if unsolved. In recent years, there has been an increasing amount of interest in periodic and chaotic behaviors in discontinuous dynamical systems because such dynamical systems are prevalent in engineering. Usually, the smoothening of discontinuous dynamical system is adopted in order to use the theory of continuous dynamical systems. However, such technique cannot provide suitable results in such discontinuous systems. In this book, an alternative way is presented to discuss the periodic and chaotic behaviors in discontinuous dynamical systems.
Book Synopsis Learning and Relearning Equipment Complexity by : Sasho Andonov
Download or read book Learning and Relearning Equipment Complexity written by Sasho Andonov and published by CRC Press. This book was released on 2023-07-07 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: With industrial systems becoming ever more mechanized and reliant on advanced technology, the complexity of equipment, especially in risky industries, is increasing on a daily basis. A thorough understanding of operations and providing safety for these complex systems has become a firm requirement for many. This book offers the knowledge required by safety professionals to provide and maintain the safety of engineering complex systems. Through a scientific and engineering approach to designing, implementing, operating, and maintaining complex systems, Learning and Relearning Equipment Complexity: Achieving Safety in Engineering Complex Systems details the need for more engineering and scientific knowledge to understand and maintain their safety. It gives clear explanations of reasons for a system’s complexity, based on control systems and non-linear dynamics. In addition, the book addresses the necessary changes in the approach and the procedures for the safety assessment of engineering complex systems. The reader will develop a thorough understanding of what complex systems are, why they are complex, and how they are utilized. This book will appeal to any safety professional tasked with complex systems. This extends to professionals in risky industries such as aviation, nuclear power, chemicals, railway and transport, and pharmaceuticals.
Book Synopsis Fixed-point Logics, Descriptive Complexity, and Random Satisfiability by : Albert Atserias
Download or read book Fixed-point Logics, Descriptive Complexity, and Random Satisfiability written by Albert Atserias and published by . This book was released on 2002 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Synchronicity, Causality, Complexity, and the Brouwer Fixed-Point Theorem by : Dr. Marshall Goldberg
Download or read book Synchronicity, Causality, Complexity, and the Brouwer Fixed-Point Theorem written by Dr. Marshall Goldberg and published by GRIN Verlag. This book was released on 2018-06-07 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific Essay from the year 2018 in the subject Psychology - General, , language: English, abstract: Synchronicity--'an acausal connecting principle' as proposed by Carl Jung may be shown to be bound by the axiom of causality (AOC) if one takes into account three factors: the principle of computational equivalence (PCE); the principle of computational irreducibility (PCI); and the Brouwer fixed-point theorem (BFPT). Direct causal relationships presented as elements in a universal cellular automaton can result in a deterministic yet a priori indeterminate result in which the outcome of computation is bound by the PCI. This means that the circuitous computational pathway by which events are related causally cannot be determined. Moreover, if these direct causal relationships are represented as vectors on the surface of a sphere, then according to the Brouwer fixed-point theorem they will meet at a fixed point or in a 'whorl'. If at least one of the vectors represents a conscious agent, then the confluence of vectors in the whorl may be seen as an acausal coincidence. However, the vectors ARE causally related in the past (AOC), but--because of the PCI--may seem to be acaually related due to their convergence within the same patch of space and time in the whorl.
Book Synopsis The Complexity of Dynamical Systems by : Johan Dubbeldam
Download or read book The Complexity of Dynamical Systems written by Johan Dubbeldam and published by John Wiley & Sons. This book was released on 2011-02-21 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by recognized experts, this edited book covers recent theoretical, experimental and applied issues in the growing fi eld of Complex Systems and Nonlinear Dynamics. It is divided into two parts, with the first section application based, incorporating the theory of bifurcation analysis, numerical computations of instabilities in dynamical systems and discussing experimental developments. The second part covers the broad category of statistical mechanics and dynamical systems. Several novel exciting theoretical and mathematical insights and their consequences are conveyed to the reader.
Book Synopsis Theory of Computational Complexity by : Ding-Zhu Du
Download or read book Theory of Computational Complexity written by Ding-Zhu Du and published by John Wiley & Sons. This book was released on 2014-06-30 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition "... complete, up-to-date coverage of computational complexity theory...the book promises to become the standard reference on computational complexity." —Zentralblatt MATH A thorough revision based on advances in the field of computational complexity and readers’ feedback, the Second Edition of Theory of Computational Complexity presents updates to the principles and applications essential to understanding modern computational complexity theory. The new edition continues to serve as a comprehensive resource on the use of software and computational approaches for solving algorithmic problems and the related difficulties that can be encountered. Maintaining extensive and detailed coverage, Theory of Computational Complexity, Second Edition, examines the theory and methods behind complexity theory, such as computational models, decision tree complexity, circuit complexity, and probabilistic complexity. The Second Edition also features recent developments on areas such as NP-completeness theory, as well as: A new combinatorial proof of the PCP theorem based on the notion of expander graphs, a research area in the field of computer science Additional exercises at varying levels of difficulty to further test comprehension of the presented material End-of-chapter literature reviews that summarize each topic and offer additional sources for further study Theory of Computational Complexity, Second Edition, is an excellent textbook for courses on computational theory and complexity at the graduate level. The book is also a useful reference for practitioners in the fields of computer science, engineering, and mathematics who utilize state-of-the-art software and computational methods to conduct research.
Book Synopsis Fixed Point Theory And Applications - Proceedings Of The Second International Conference by : Kok Keong Tan
Download or read book Fixed Point Theory And Applications - Proceedings Of The Second International Conference written by Kok Keong Tan and published by World Scientific. This book was released on 1992-08-08 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains current works of researchers from twelve different countries on fixed point theory and applications. Topics include, in part, nonexpansive mappings, multifunctions, minimax inequalities, applications to game theory and computation of fixed points. It is valuable to pure and applied mathematicians as well as computing scientists and mathematical economists.
Book Synopsis Positivity and its Applications by : Eder Kikianty
Download or read book Positivity and its Applications written by Eder Kikianty and published by Springer Nature. This book was released on 2021-07-22 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume features selected contributions from the conference Positivity X. The field of positivity deals with ordered mathematical structures and their applications. At the biannual series of Positivity conferences, the latest developments in this diverse field are presented. The 2019 edition was no different, with lectures covering a broad spectrum of topics, including vector and Banach lattices and operators on such spaces, abstract stochastic processes in an ordered setting, the theory and applications of positive semi-groups to partial differential equations, Hilbert geometries, positivity in Banach algebras and, in particular, operator algebras, as well as applications to mathematical economics and financial mathematics. The contributions in this book reflect the variety of topics discussed at the conference. They will be of interest to researchers in functional analysis, operator theory, measure and integration theory, operator algebras, and economics. Positivity X was dedicated to the memory of our late colleague and friend, Coenraad Labuschagne. His untimely death in 2018 came as an enormous shock to the Positivity community. He was a prominent figure in the Positivity community and was at the forefront of the recent development of abstract stochastic processes in a vector lattice context.
Book Synopsis Complexity and Approximation by : Ding-Zhu Du
Download or read book Complexity and Approximation written by Ding-Zhu Du and published by Springer Nature. This book was released on 2020-02-20 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift is in honor of Ker-I Ko, Professor in the Stony Brook University, USA. Ker-I Ko was one of the founding fathers of computational complexity over real numbers and analysis. He and Harvey Friedman devised a theoretical model for real number computations by extending the computation of Turing machines. He contributed significantly to advancing the theory of structural complexity, especially on polynomial-time isomorphism, instance complexity, and relativization of polynomial-time hierarchy. Ker-I also made many contributions to approximation algorithm theory of combinatorial optimization problems. This volume contains 17 contributions in the area of complexity and approximation. Those articles are authored by researchers over the world, including North America, Europe and Asia. Most of them are co-authors, colleagues, friends, and students of Ker-I Ko.
Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first Supplementary volume to Kluwer's highly acclaimed Encyclopaedia of Mathematics. This additional volume contains nearly 600 new entries written by experts and covers developments and topics not included in the already published 10-volume set. These entries have been arranged alphabetically throughout. A detailed index is included in the book. This Supplementary volume enhances the existing 10-volume set. Together, these eleven volumes represent the most authoritative, comprehensive up-to-date Encyclopaedia of Mathematics available.
Book Synopsis Complexity Explained by : Peter Erdi
Download or read book Complexity Explained written by Peter Erdi and published by Springer Science & Business Media. This book was released on 2007-11-09 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains why complex systems research is important in understanding the structure, function and dynamics of complex natural and social phenomena. It illuminates how complex collective behavior emerges from the parts of a system, due to the interaction between the system and its environment. Readers will learn the basic concepts and methods of complex system research. The book is not highly technical mathematically, but teaches and uses the basic mathematical notions of dynamical system theory, making the book useful for students of science majors and graduate courses.
Book Synopsis Signal Processing and Multimedia by : Sankar Kumar Pal
Download or read book Signal Processing and Multimedia written by Sankar Kumar Pal and published by Springer. This book was released on 2010-11-25 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Welcome to the proceedings of the 2010 International Conferences on Signal Proce- ing, Image Processing and Pattern Recognition (SIP 2010), and Multimedia, C- puter Graphics and Broadcasting (MulGraB 2010) – two of the partnering events of the Second International Mega-Conference on Future Generation Information Te- nology (FGIT 2010). SIP and MulGraB bring together researchers from academia and industry as well as practitioners to share ideas, problems and solutions relating to the multifaceted - pects of image, signal, and multimedia processing, including their links to compu- tional sciences, mathematics and information technology. In total, 1,630 papers were submitted to FGIT 2010 from 30 countries, which - cludes 225 papers submitted to SIP/MulGraB 2010. The submitted papers went through a rigorous reviewing process: 395 of the 1,630 papers were accepted for FGIT 2010, while 53 papers were accepted for SIP/MulGraB 2010. Of the 53 papers 8 were selected for the special FGIT 2010 volume published by Springer in the LNCS series. 37 papers are published in this volume, and 8 papers were withdrawn due to technical reasons. We would like to acknowledge the great effort of the SIP/MulGraB 2010 Inter- tional Advisory Boards and members of the International Program Committees, as well as all the organizations and individuals who supported the idea of publishing this volume of proceedings, including SERSC and Springer. Also, the success of these two conferences would not have been possible without the huge support from our sponsors and the work of the Chairs and Organizing Committee.
Book Synopsis Elements of Finite Model Theory by : Leonid Libkin
Download or read book Elements of Finite Model Theory written by Leonid Libkin and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizes the computer science aspects of the subject. Details applications in databases, complexity theory, and formal languages, as well as other branches of computer science.
Book Synopsis Algorithmic Game Theory by : Marios Mavronicolas
Download or read book Algorithmic Game Theory written by Marios Mavronicolas and published by Springer Science & Business Media. This book was released on 2009-09-23 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at the Second International Sym- sium on Algorithmic Game Theory (SAGT 2009), which was held on October 18–20, 2009, in Paphos, Cyprus. This event followed the ?rst, very successful SAGT symposium, which took place in Paderborn, Germany, last year. The purpose of SAGT is to bring together researchers from computer s- ence, economics and mathematics to present and discuss originalresearchat the intersection of algorithms and game theory. It has been intended to cover all important areas such as solution concepts, game classes,computation of equil- riaandmarketequilibria,algorithmicmechanismdesign, automatedmechanism design,convergenceandlearningingames,complexityclassesingametheory,- gorithmicaspectsof?xed-pointtheorems,mechanisms,incentivesandcoalitions, cost-sharing algorithms, computational problems in economics, ?nance, decision theory and pricing, computational social choice, auction algorithms, price of - archyand its relatives, representationsof games and their complexity, economic aspects of distributed computing and the internet, congestion, routing and n- work design and formation games and game-theoretic approaches to networking problems. Approximately55submissionstoSAGT2009 werereceived.Eachsubmission was reviewed by at least three Program Committee members. The Program Committee decided to accept 29 papers. Out of these, a small number will be invited to a Special Issue of the Theory of Computing Systems journal with selected papers from SAGT 2009. The program of SAGT 2009 featured three invited talks from three outstanding researchers in algorithmic game theory: Elias Koutsoupias, Dov Monderer and Mihalis Yannakakis. We are very grateful toElias,DovandMihalisforjoiningusinPaphosandfortheirexcellentlectures.
Book Synopsis Handbook of Product Graphs by : Richard Hammack
Download or read book Handbook of Product Graphs written by Richard Hammack and published by CRC Press. This book was released on 2011-06-06 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook examines the dichotomy between the structure of products and their subgraphs. It also features the design of efficient algorithms that recognize products and their subgraphs and explores the relationship between graph parameters of the product and factors. Extensively revised and expanded, this second edition presents full proofs of many important results as well as up-to-date research and conjectures. It illustrates applications of graph products in several areas and contains well over 300 exercises. Supplementary material is available on the book's website.
