Computational Theory of Iterative Methods Book
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Computational Theory of Iterative Methods


  • Author : Ioannis Argyros
  • Publisher : Elsevier
  • Release Date : 2007-09-04
  • Genre: Mathematics
  • Pages : 504
  • ISBN 10 : 0080560709

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Computational Theory of Iterative Methods 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

The Theory and Applications of Iteration Methods Book

The Theory and Applications of Iteration Methods


  • Author : Ioannis K. Argyros
  • Publisher : CRC Press
  • Release Date : 2022-01-21
  • Genre: Mathematics
  • Pages : 470
  • ISBN 10 : 9781000536775

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The Theory and Applications of Iteration Methods Excerpt :

The theory and applications of Iteration Methods is a very fast-developing field of numerical analysis and computer methods. The second edition is completely updated and continues to present the state-of-the-art contemporary theory of iteration methods with practical applications, exercises, case studies, and examples of where and how they can be used. The Theory and Applications of Iteration Methods, Second Edition includes newly developed iteration methods taking advantage of the most recent technology (computers, robots, machines). It extends the applicability of well-established methods by increasing the convergence domain and offers sharper error tolerance. New proofs and ideas for handling convergence are introduced along with a new variety of story problems picked from diverse disciplines. This new edition is for researchers, practitioners, and students in engineering, economics, and computational sciences.

Iterative Methods for Sparse Linear Systems Book

Iterative Methods for Sparse Linear Systems


  • Author : Yousef Saad
  • Publisher : SIAM
  • Release Date : 2003-04-01
  • Genre: Mathematics
  • Pages : 528
  • ISBN 10 : 9780898715347

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Iterative Methods for Sparse Linear Systems Excerpt :

Mathematics of Computing -- General.

Iterative Methods and Their Dynamics with Applications Book

Iterative Methods and Their Dynamics with Applications


  • Author : Ioannis Konstantinos Argyros
  • Publisher : CRC Press
  • Release Date : 2017-07-12
  • Genre: Mathematics
  • Pages : 365
  • ISBN 10 : 9781498763622

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Iterative Methods and Their Dynamics with Applications Excerpt :

Iterative processes are the tools used to generate sequences approximating solutions of equations describing real life problems. Intended for researchers in computational sciences and as a reference book for advanced computational method in nonlinear analysis, this book is a collection of the recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces and presents several applications and connections with fixed point theory. It contains an abundant and updated bibliography and provides comparisons between various investigations made in recent years in the field of computational nonlinear analysis. The book also provides recent advancements in the study of iterative procedures and can be used as a source to obtain the proper method to use in order to solve a problem. The book assumes a basic background in Mathematical Statistics, Linear Algebra and Numerical Analysis and may be used as a self-study reference or as a supplementary text for an advanced course in Biosciences or Applied Sciences. Moreover, the newest techniques used to study the dynamics of iterative methods are described and used in the book and they are compared with the classical ones.

A Contemporary Study of Iterative Methods Book

A Contemporary Study of Iterative Methods


  • Author : A. Alberto Magrenan
  • Publisher : Academic Press
  • Release Date : 2018-02-13
  • Genre: Mathematics
  • Pages : 400
  • ISBN 10 : 9780128094938

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A Contemporary Study of Iterative Methods Excerpt :

A Contemporary Study of Iterative Methods: Convergence, Dynamics and Applications evaluates and compares advances in iterative techniques, also discussing their numerous applications in applied mathematics, engineering, mathematical economics, mathematical biology and other applied sciences. It uses the popular iteration technique in generating the approximate solutions of complex nonlinear equations that is suitable for aiding in the solution of advanced problems in engineering, mathematical economics, mathematical biology and other applied sciences. Iteration methods are also applied for solving optimization problems. In such cases, the iteration sequences converge to an optimal solution of the problem at hand. Contains recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces Encompasses the novel tool of dynamic analysis for iterative methods, including new developments in Smale stability theory and polynomiography Explores the uses of computation of iterative methods across non-linear analysis Uniquely places discussion of derivative-free methods in context of other discoveries, aiding comparison and contrast between options

Numerical Computations  Theory and Algorithms Book

Numerical Computations Theory and Algorithms


  • Author : Yaroslav D. Sergeyev
  • Publisher : Springer Nature
  • Release Date : 2020-02-13
  • Genre: Computers
  • Pages : 622
  • ISBN 10 : 9783030390815

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Numerical Computations Theory and Algorithms 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.

Functional Numerical Methods  Applications to Abstract Fractional Calculus Book

Functional Numerical Methods Applications to Abstract Fractional Calculus


  • Author : George A. Anastassiou
  • Publisher : Springer
  • Release Date : 2017-10-27
  • Genre: Technology & Engineering
  • Pages : 161
  • ISBN 10 : 9783319695266

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Functional Numerical Methods Applications to Abstract Fractional Calculus Excerpt :

This book presents applications of Newton-like and other similar methods to solve abstract functional equations involving fractional derivatives. It focuses on Banach space-valued functions of a real domain – studied for the first time in the literature. Various issues related to the modeling and analysis of fractional order systems continue to grow in popularity, and the book provides a deeper and more formal analysis of selected issues that are relevant to many areas – including decision-making, complex processes, systems modeling and control – and deeply embedded in the fields of engineering, computer science, physics, economics, and the social and life sciences. The book offers a valuable resource for researchers and graduate students, and can also be used as a textbook for seminars on the above-mentioned subjects. All chapters are self-contained and can be read independently. Further, each chapter includes an extensive list of references.

Numerical Methods in Computational Mechanics Book

Numerical Methods in Computational Mechanics


  • Author : Jamshid Ghaboussi
  • Publisher : CRC Press
  • Release Date : 2016-11-25
  • Genre: Mathematics
  • Pages : 331
  • ISBN 10 : 9781315351643

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Numerical Methods in Computational Mechanics Excerpt :

This book explores the numerical algorithms underpinning modern finite element based computational mechanics software. It covers all the major numerical methods that are used in computational mechanics. It reviews the basic concepts in linear algebra and advanced matrix theory, before covering solution of systems of equations, symmetric eigenvalue solution methods, and direct integration of discrete dynamic equations of motion, illustrated with numerical examples. This book suits a graduate course in mechanics based disciplines, and will help software developers in computational mechanics. Increased understanding of the underlying numerical methods will also help practicing engineers to use the computational mechanics software more effectively.

Computational Methods for Numerical Analysis with R Book

Computational Methods for Numerical Analysis with R


  • Author : James P Howard, II
  • Publisher : CRC Press
  • Release Date : 2017-07-12
  • Genre: Mathematics
  • Pages : 257
  • ISBN 10 : 9781498723640

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Computational Methods for Numerical Analysis with R Excerpt :

Computational Methods for Numerical Analysis with R is an overview of traditional numerical analysis topics presented using R. This guide shows how common functions from linear algebra, interpolation, numerical integration, optimization, and differential equations can be implemented in pure R code. Every algorithm described is given with a complete function implementation in R, along with examples to demonstrate the function and its use. Computational Methods for Numerical Analysis with R is intended for those who already know R, but are interested in learning more about how the underlying algorithms work. As such, it is suitable for statisticians, economists, and engineers, and others with a computational and numerical background.

Numerical Methods for Equations and its Applications Book

Numerical Methods for Equations and its Applications


  • Author : Ioannis K. Argyros
  • Publisher : CRC Press
  • Release Date : 2012-06-05
  • Genre: Mathematics
  • Pages : 474
  • ISBN 10 : 9781466517110

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Numerical Methods for Equations and its Applications 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

Parallel and Distributed Computation  Numerical Methods Book

Parallel and Distributed Computation Numerical Methods


  • Author : Dimitri Bertsekas
  • Publisher : Athena Scientific
  • Release Date : 2015-03-01
  • Genre: Mathematics
  • Pages : 735
  • ISBN 10 : 9781886529151

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Parallel and Distributed Computation Numerical Methods Excerpt :

This highly acclaimed work, first published by Prentice Hall in 1989, is a comprehensive and theoretically sound treatment of parallel and distributed numerical methods. It focuses on algorithms that are naturally suited for massive parallelization, and it explores the fundamental convergence, rate of convergence, communication, and synchronization issues associated with such algorithms. This is an extensive book, which aside from its focus on parallel and distributed algorithms, contains a wealth of material on a broad variety of computation and optimization topics. It is an excellent supplement to several of our other books, including Convex Optimization Algorithms (Athena Scientific, 2015), Nonlinear Programming (Athena Scientific, 1999), Dynamic Programming and Optimal Control (Athena Scientific, 2012), Neuro-Dynamic Programming (Athena Scientific, 1996), and Network Optimization (Athena Scientific, 1998). The on-line edition of the book contains a 95-page solutions manual.

Innovaci  n Educativa en la sociedad digital  Book

Innovaci n Educativa en la sociedad digital


  • Author : Anonim
  • Publisher : Dykinson
  • Release Date : 2022-07-07
  • Genre: Uncategoriezed
  • Pages : null
  • ISBN 10 : 9788413244938

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Innovaci n Educativa en la sociedad digital Excerpt :

La presente obra pretende abarcar desde diferentes perspectivas, numerosas preocupaciones que conciernen al sistema educativo actual. Para ello, las aportaciones científicas que se presentan a continuación abordaran a través la pesquisa y la praxis numerosas cuestiones que se han englobado en un total de diez bloques temáticos En el primer bloque se encuentran aportaciones que responden al tratamiento de las diferentes competencias docentes que debe de reunir el presente y futuro educador. Le sigue, en el segundo bloque, el planteamiento de propuestas didácticas e investigativas que abordan la labor educativa desde distintos contextos no formales. A continuación, las aportaciones del tercer apartado responden a la formación del profesorado en distintos ámbitos significativos. Vinculado a esta idea, el bloque cuatro proporciona numerosas contribuciones de diferente índole sobre metodologías activas (ABP, gamificación, o Flipped Classroom entre ellos), su conocimiento y ejemplos de buenas prácticas. El quinto bloque pone su foco en la Educación Superior, a través del planteamiento de diferentes reflexiones sobre la formación en esta etapa, y en la propuesta didáctica de algunos aspectos relevantes que podrían enriquecer este periodo formativo. A continuación, se encuentran los bloques con mayor número de capítulos, que corresponde al tratamiento de la inclusión educativa y la innovación y la investigación educativa. En el primero, se abordan distintas nociones a tener en cuenta que promueven la inclusión y la igualdad en las aulas. Respecto al segundo, se trata de un bloque que reúne diferentes aportaciones procedentes de numerosas disciplinas del conocimiento, que abordan desde la perspectiva investigadora numerosas preocupaciones que atañen a la sociedad actual. En suma, el octavo bloque responde al liderazgo y la organización y gestión de instituciones y violencia escolar, el análisis de factores que influyen en estos. El noveno bloque

Classical and Modern Numerical Analysis Book

Classical and Modern Numerical Analysis


  • Author : Azmy S. Ackleh
  • Publisher : CRC Press
  • Release Date : 2009-07-20
  • Genre: Mathematics
  • Pages : 628
  • ISBN 10 : 9781420091588

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Classical and Modern Numerical Analysis Excerpt :

Classical and Modern Numerical Analysis: Theory, Methods and Practice provides a sound foundation in numerical analysis for more specialized topics, such as finite element theory, advanced numerical linear algebra, and optimization. It prepares graduate students for taking doctoral examinations in numerical analysis.The text covers the main areas o

Iterative Methods and Preconditioners for Systems of Linear Equations Book

Iterative Methods and Preconditioners for Systems of Linear Equations


  • Author : Gabriele Ciaramella
  • Publisher : SIAM
  • Release Date : 2022-02-08
  • Genre: Mathematics
  • Pages : 285
  • ISBN 10 : 9781611976908

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Iterative Methods and Preconditioners for Systems of Linear Equations Excerpt :

Iterative methods use successive approximations to obtain more accurate solutions. This book gives an introduction to iterative methods and preconditioning for solving discretized elliptic partial differential equations and optimal control problems governed by the Laplace equation, for which the use of matrix-free procedures is crucial. All methods are explained and analyzed starting from the historical ideas of the inventors, which are often quoted from their seminal works. Iterative Methods and Preconditioners for Systems of Linear Equations grew out of a set of lecture notes that were improved and enriched over time, resulting in a clear focus for the teaching methodology, which derives complete convergence estimates for all methods, illustrates and provides MATLAB codes for all methods, and studies and tests all preconditioners first as stationary iterative solvers. This textbook is appropriate for undergraduate and graduate students who want an overview or deeper understanding of iterative methods. Its focus on both analysis and numerical experiments allows the material to be taught with very little preparation, since all the arguments are self-contained, and makes it appropriate for self-study as well. It can be used in courses on iterative methods, Krylov methods and preconditioners, and numerical optimal control. Scientists and engineers interested in new topics and applications will also find the text useful.