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Aspects Of The Computational Theory For Certain Iterative Methods
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Book Synopsis Aspects of the Computational Theory for Certain Iterative Methods by : Ioannis K. Argyros
Download or read book Aspects of the Computational Theory for Certain Iterative Methods written by Ioannis K. Argyros and published by Polimetrica s.a.s.. This book was released on 2009 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Theory of Iterative Methods by : Ioannis Argyros
Download or read book Computational Theory of Iterative Methods written by Ioannis Argyros and published by Elsevier. This book was released on 2007-09-04 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is designed for researchers, students and practitioners interested in using fast and efficient iterative methods to approximate solutions of nonlinear equations. The following four major problems are addressed. Problem 1: Show that the iterates are well defined. Problem 2: concerns the convergence of the sequences generated by a process and the question of whether the limit points are, in fact solutions of the equation. Problem 3: concerns the economy of the entire operations. Problem 4: concerns with how to best choose a method, algorithm or software program to solve a specific type of problem and its description of when a given algorithm succeeds or fails. The book contains applications in several areas of applied sciences including mathematical programming and mathematical economics. There is also a huge number of exercises complementing the theory. - Latest convergence results for the iterative methods - Iterative methods with the least computational cost - Iterative methods with the weakest convergence conditions - Open problems on iterative methods
Book Synopsis Computational Methods in Nonlinear Analysis by : Ioannis K Argyros
Download or read book Computational Methods in Nonlinear Analysis written by Ioannis K Argyros and published by World Scientific. This book was released on 2013-07-11 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. We note that in computational sciences, the practice of numerical analysis for finding such solutions is essentially connected to variants of Newton's method. The efficient computational methods for finding the solutions of fixed point problems, nonlinear equations and variational inclusions are the first goal of the present book. The second goal is the applications of these methods in nonlinear problems and the connection with fixed point theory. This book is intended for researchers in computational sciences, and as a reference book for an advanced computational methods in nonlinear analysis. We collect the recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces, and present several applications and connections with fixed point theory. The book contains abundant and updated bibliography, and provides comparison between various investigations made in recent years in the field of computational nonlinear analysis. Contents:Newton's MethodsSpecial Conditions for Newton's MethodNewton's Method on Special SpacesSecant MethodGauss–Newton MethodHalley's MethodChebyshev's MethodBroyden's MethodNewton-like MethodsNewton–Tikhonov Method for Ill-posed Problems Readership: Graduate students and researchers in computational mathematics and nonlinear analysis. Keywords:Numerical Analysis;Nonlinear Equations;Nonlinear Analysis;Variational Inequalities;Fixed Point TheoryKey Features:The book contains recent results in the field of computational sciencesThe book updates the results of the 3 competing books: (1) Convergence and Applications of Newton-type iterations, springer–Verlag Publ., 2008 (author: Ioannis K Argyros) (2) Functional Analysis, Pergamon Press, Oxford, 1982 (authors: L V Kantorovich, G P Akilov) (3) Iterative Solution of Nonlinear Equations in Several Variables, Academic Press, New York, 1970 (authors: L M Ortega, W C Rheinboldt)The book presents several applications and examples in engineering, mathematical physics, optimization and many other areasReviews: “This book is known as a reference book for advanced computational methods in nonlinear analysis.” Zentralblatt MATH “The material included in the monograph is new and mainly due to its authors. It synthesises the deep and long-standing research activity in the field. This book is mainly intended for researchers working in the area of theoretical computational methods but it could also be an important documentation source for practitioners in applied computational mathematics.” Mathematical Reviews Clippings
Book Synopsis Computational Methods in Nonlinear Analysis by : Ioannis K. Argyros
Download or read book Computational Methods in Nonlinear Analysis written by Ioannis K. Argyros and published by World Scientific. This book was released on 2013 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. We note that in computational sciences, the practice of numerical analysis for finding such solutions is essentially connected to variants of Newton's method. The efficient computational methods for finding the solutions of fixed point problems, nonlinear equations and variational inclusions are the first goal of the present book. The second goal is the applications of these methods in nonlinear problems and the connection with fixed point theory. This book is intended for researchers in computational sciences, and as a reference book for an advanced computational methods in nonlinear analysis. We collect the recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces, and present several applications and connections with fixed point theory. The book contains abundant and updated bibliography, and provides comparison between various investigations made in recent years in the field of computational nonlinear analysis.
Book Synopsis Numerical Methods for Equations and its Applications by : Ioannis K. Argyros
Download or read book Numerical Methods for Equations and its Applications written by Ioannis K. Argyros and published by CRC Press. This book was released on 2012-06-05 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces advanced numerical-functional analysis to beginning computer science researchers. The reader is assumed to have had basic courses in numerical analysis, computer programming, computational linear algebra, and an introduction to real, complex, and functional analysis. Although the book is of a theoretical nature, each chapter co
Book Synopsis Elements of the General Theory of Optimal Algorithms by : Ivan V. Sergienko
Download or read book Elements of the General Theory of Optimal Algorithms written by Ivan V. Sergienko and published by Springer Nature. This book was released on 2022-01-11 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, the authors develop a methodology that allows one to construct and substantiate optimal and suboptimal algorithms to solve problems in computational and applied mathematics. Throughout the book, the authors explore well-known and proposed algorithms with a view toward analyzing their quality and the range of their efficiency. The concept of the approach taken is based on several theories (of computations, of optimal algorithms, of interpolation, interlination, and interflatation of functions, to name several). Theoretical principles and practical aspects of testing the quality of algorithms and applied software, are a major component of the exposition. The computer technology in construction of T-efficient algorithms for computing ε-solutions to problems of computational and applied mathematics, is also explored. The readership for this monograph is aimed at scientists, postgraduate students, advanced students, and specialists dealing with issues of developing algorithmic and software support for the solution of problems of computational and applied mathematics.
Book Synopsis Iterative Methods for Sparse Linear Systems by : Yousef Saad
Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad and published by SIAM. This book was released on 2003-04-01 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.
Book Synopsis Numerical Computations: Theory and Algorithms by : Yaroslav D. Sergeyev
Download or read book Numerical Computations: Theory and Algorithms written by Yaroslav D. Sergeyev and published by Springer Nature. This book was released on 2020-02-13 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 11973 and 11974 constitute revised selected papers from the Third International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2019, held in Crotone, Italy, in June 2019. This volume, LNCS 11973, consists of 34 full and 18 short papers chosen among papers presented at special streams and sessions of the Conference. The papers in part I were organized following the topics of these special sessions: approximation: methods, algorithms, and applications; computational methods for data analysis; first order methods in optimization: theory and applications; high performance computing in modelling and simulation; numbers, algorithms, and applications; optimization and management of water supply.
Book Synopsis KWIC Index for Numerical Algebra by : Alston Scott Householder
Download or read book KWIC Index for Numerical Algebra written by Alston Scott Householder and published by . This book was released on 1972 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computer Literature Bibliography: 1946-1963 by : W. W. Youden
Download or read book Computer Literature Bibliography: 1946-1963 written by W. W. Youden and published by . This book was released on 1965 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Iterative Solution of Nonlinear Equations in Several Variables by : J. M. Ortega
Download or read book Iterative Solution of Nonlinear Equations in Several Variables written by J. M. Ortega and published by Elsevier. This book was released on 2014-05-10 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Science and Applied Mathematics: Iterative Solution of Nonlinear Equations in Several Variables presents a survey of the basic theoretical results about nonlinear equations in n dimensions and analysis of the major iterative methods for their numerical solution. This book discusses the gradient mappings and minimization, contractions and the continuation property, and degree of a mapping. The general iterative and minimization methods, rates of convergence, and one-step stationary and multistep methods are also elaborated. This text likewise covers the contractions and nonlinear majorants, convergence under partial ordering, and convergence of minimization methods. This publication is a good reference for specialists and readers with an extensive functional analysis background.
Download or read book NBS Special Publication written by and published by . This book was released on 1965 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computer Literature Bibliography by : United States. National Bureau of Standards
Download or read book Computer Literature Bibliography written by United States. National Bureau of Standards and published by . This book was released on 1965 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis National Bureau of Standards Miscellaneous Publication by :
Download or read book National Bureau of Standards Miscellaneous Publication written by and published by . This book was released on 1965 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Miscellaneous Publication - National Bureau of Standards by : United States. National Bureau of Standards
Download or read book Miscellaneous Publication - National Bureau of Standards written by United States. National Bureau of Standards and published by . This book was released on 1965 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis U.S. Government Research & Development Reports by :
Download or read book U.S. Government Research & Development Reports written by and published by . This book was released on 1966-11 with total page 1014 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Methods in Matrix Computations by : Åke Björck
Download or read book Numerical Methods in Matrix Computations written by Åke Björck and published by Springer. This book was released on 2014-10-07 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix algorithms are at the core of scientific computing and are indispensable tools in most applications in engineering. This book offers a comprehensive and up-to-date treatment of modern methods in matrix computation. It uses a unified approach to direct and iterative methods for linear systems, least squares and eigenvalue problems. A thorough analysis of the stability, accuracy, and complexity of the treated methods is given. Numerical Methods in Matrix Computations is suitable for use in courses on scientific computing and applied technical areas at advanced undergraduate and graduate level. A large bibliography is provided, which includes both historical and review papers as well as recent research papers. This makes the book useful also as a reference and guide to further study and research work.
