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Numerical Methods
  • Language: en
  • Pages: 471

Numerical Methods

A rigorous and comprehensive introduction to numerical analysis Numerical Methods provides a clear and concise exploration of standard numerical analysis topics, as well as nontraditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. Filled with appealing examples that will motivate students, the textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering. Exercises use MATLAB and promote understanding of computational results. The book gives instructors the flexibility to emphasize different aspects—design, analysis, or computer implementation—of numerical algorithm...

Iterative Methods for Solving Linear Systems
  • Language: en
  • Pages: 225

Iterative Methods for Solving Linear Systems

  • Type: Book
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  • Published: 1997-01-01
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  • Publisher: SIAM

Mathematics of Computing -- Numerical Analysis.

Handbook of Linear Algebra, Second Edition
  • Language: en
  • Pages: 1906

Handbook of Linear Algebra, Second Edition

  • Type: Book
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  • Published: 2013-11-26
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  • Publisher: CRC Press

With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and updates throughout, the second edition of this bestseller includes 20 new chapters. New to the Second Edition Separate chapters on Schur complements, additional types of canonical forms, tensors, matrix polynomials, matrix equations, special types of matrices, generalized inverses, matrices over finite fields, invariant subspaces, representations ...

The Lanczos and Conjugate Gradient Algorithms
  • Language: en
  • Pages: 374

The Lanczos and Conjugate Gradient Algorithms

  • Type: Book
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  • Published: 2006-08-01
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  • Publisher: SIAM

The most comprehensive and up-to-date discussion available of the Lanczos and CG methods for computing eigenvalues and solving linear systems.

Spectra and Pseudospectra
  • Language: en
  • Pages: 626

Spectra and Pseudospectra

Pure and applied mathematicians, physicists, scientists, and engineers use matrices and operators and their eigenvalues in quantum mechanics, fluid mechanics, structural analysis, acoustics, ecology, numerical analysis, and many other areas. However, in some applications the usual analysis based on eigenvalues fails. For example, eigenvalues are often ineffective for analyzing dynamical systems such as fluid flow, Markov chains, ecological models, and matrix iterations. That's where this book comes in. This is the authoritative work on nonnormal matrices and operators, written by the authorities who made them famous. Each of the sixty sections is written as a self-contained essay. Each document is a lavishly illustrated introductory survey of its topic, complete with beautiful numerical experiments and all the right references. The breadth of included topics and the numerous applications that provide links between fields will make this an essential reference in mathematics and related sciences.

Multiprocessor Methods for Computer Graphics Rendering
  • Language: en
  • Pages: 235

Multiprocessor Methods for Computer Graphics Rendering

  • Type: Book
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  • Published: 1992-11-02
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  • Publisher: CRC Press

This comprehensive work merges two of the hottest topics in computer science: parallel computing and computer graphics. Selected Topics from the Table of Contents: -Overview of Accelerated Rendering Techniques -Overview of Parallel Methods for Image Generation -Issues in Parallel Algorithm Development -Overview of Base Level Implementation -Compari

A Journey through the History of Numerical Linear Algebra
  • Language: en
  • Pages: 813

A Journey through the History of Numerical Linear Algebra

  • Type: Book
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  • Published: 2022-12-06
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  • Publisher: SIAM

This expansive volume describes the history of numerical methods proposed for solving linear algebra problems, from antiquity to the present day. The authors focus on methods for linear systems of equations and eigenvalue problems and describe the interplay between numerical methods and the computing tools available at the time. The second part of the book consists of 78 biographies of important contributors to the field. A Journey through the History of Numerical Linear Algebra will be of special interest to applied mathematicians, especially researchers in numerical linear algebra, people involved in scientific computing, and historians of mathematics.

Linear and Nonlinear Conjugate Gradient-related Methods
  • Language: en
  • Pages: 186

Linear and Nonlinear Conjugate Gradient-related Methods

  • Type: Book
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  • Published: 1996-01-01
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  • Publisher: SIAM

Proceedings of the AMS-IMS-SIAM Summer Research Conference held at the University of Washington, July 1995.

Handbook of Linear Algebra
  • Language: en
  • Pages: 1402

Handbook of Linear Algebra

  • Type: Book
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  • Published: 2006-11-02
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  • Publisher: CRC Press

The Handbook of Linear Algebra provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use handbook format. The esteemed international contributors guide you from the very elementary aspects of the subject to the frontiers of current research. The book features an accessibl

Geršgorin and His Circles
  • Language: en
  • Pages: 241

Geršgorin and His Circles

"Contains numerous simple examples and illustrative diagrams....For anyone seeking information about eigenvalue inclusion theorems, this book will be a great reference." --Mathematical Reviews This book studies the original results, and their extensions, of the Russian mathematician S.A. Geršgorin who wrote a seminal paper in 1931 on how to easily obtain estimates of all n eigenvalues (characteristic values) of any given n-by-n complex matrix.