Incomplete Block Matrix Factorization Preconditioning Methods The Ultimate Answer

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Iterative Incomplete Factorization Methods

Author : Valery P Il'in
Publisher : World Scientific
ISBN 13 : 981450551X
Total Pages : 203 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Iterative Incomplete Factorization Methods by : Valery P Il'in

Download or read book Iterative Incomplete Factorization Methods written by Valery P Il'in and published by World Scientific. This book was released on 1992-07-23 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to numerical methods for solving sparse linear algebra systems of very large dimension which arise in the implementation of the mesh approximations of the partial differential equations. Incomplete factorization is the basis of the wide class of preconditioning interative processes with acceleration by conjugate gradients or the Chebyshev technique. Different kinds of explicit and implicit algorithms are considered. Theoretical grounds of correctness and estimates of the convergence velocity of iterations are presented. Together with the results of experimental investigations for the typical examples, this book is the first on systematic studying of the incomplete factorization methods.

Iterative Solution Methods

Author : Owe Axelsson
Publisher : Cambridge University Press
ISBN 13 : 9780521555692
Total Pages : 676 pages
Book Rating : 4.5/5 (556 download)

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Book Synopsis Iterative Solution Methods by : Owe Axelsson

Download or read book Iterative Solution Methods written by Owe Axelsson and published by Cambridge University Press. This book was released on 1996-03-29 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals primarily with the numerical solution of linear systems of equations by iterative methods. The first part of the book is intended to serve as a textbook for a numerical linear algebra course. The material assumes the reader has a basic knowledge of linear algebra, such as set theory and matrix algebra, however it is demanding for students who are not afraid of theory. To assist the reader, the more difficult passages have been marked, the definitions for each chapter are collected at the beginning of the chapter, and numerous exercises are included throughout the text. The second part of the book serves as a monograph introducing recent results in the iterative solution of linear systems, mainly using preconditioned conjugate gradient methods. This book should be a valuable resource for students and researchers alike wishing to learn more about iterative methods.

A Survey of Preconditioned Iterative Methods

Author : Are Magnus Bruaset
Publisher : Routledge
ISBN 13 : 1351469363
Total Pages : 180 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis A Survey of Preconditioned Iterative Methods by : Are Magnus Bruaset

Download or read book A Survey of Preconditioned Iterative Methods written by Are Magnus Bruaset and published by Routledge. This book was released on 2018-12-13 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of solving large, sparse, linear systems of algebraic equations is vital in scientific computing, even for applications originating from quite different fields. A Survey of Preconditioned Iterative Methods presents an up to date overview of iterative methods for numerical solution of such systems. Typically, the methods considered are w

Matrix Computations

Author : Gene H. Golub
Publisher : JHU Press
ISBN 13 : 1421407949
Total Pages : 781 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Matrix Computations by : Gene H. Golub

Download or read book Matrix Computations written by Gene H. Golub and published by JHU Press. This book was released on 2013-02-15 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised edition provides the mathematical background and algorithmic skills required for the production of numerical software. It includes rewritten and clarified proofs and derivations, as well as new topics such as Arnoldi iteration, and domain decomposition methods.

Templates for the Solution of Linear Systems

Author : Richard Barrett
Publisher : SIAM
ISBN 13 : 0898713285
Total Pages : 130 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Templates for the Solution of Linear Systems by : Richard Barrett

Download or read book Templates for the Solution of Linear Systems written by Richard Barrett and published by SIAM. This book was released on 1994-01-01 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

Linear Algebra in Signals, Systems, and Control

Author : Biswa Nath Datta
Publisher : SIAM
ISBN 13 : 9780898712230
Total Pages : 692 pages
Book Rating : 4.7/5 (122 download)

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Book Synopsis Linear Algebra in Signals, Systems, and Control by : Biswa Nath Datta

Download or read book Linear Algebra in Signals, Systems, and Control written by Biswa Nath Datta and published by SIAM. This book was released on 1988-01-01 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parallel Algorithms for Numerical Linear Algebra

Author : H. van der Vorst
Publisher : Elsevier
ISBN 13 : 1483295737
Total Pages : 341 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Parallel Algorithms for Numerical Linear Algebra by : H. van der Vorst

Download or read book Parallel Algorithms for Numerical Linear Algebra written by H. van der Vorst and published by Elsevier. This book was released on 2014-06-28 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first in a new series of books presenting research results and developments concerning the theory and applications of parallel computers, including vector, pipeline, array, fifth/future generation computers, and neural computers.All aspects of high-speed computing fall within the scope of the series, e.g. algorithm design, applications, software engineering, networking, taxonomy, models and architectural trends, performance, peripheral devices.Papers in Volume One cover the main streams of parallel linear algebra: systolic array algorithms, message-passing systems, algorithms for parallel shared-memory systems, and the design of fast algorithms and implementations for vector supercomputers.

Computer Algorithms for Solving Linear Algebraic Equations

Author : Emilio Spedicato
Publisher : Springer Science & Business Media
ISBN 13 : 3642767176
Total Pages : 361 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Computer Algorithms for Solving Linear Algebraic Equations by : Emilio Spedicato

Download or read book Computer Algorithms for Solving Linear Algebraic Equations written by Emilio Spedicato and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NATO Advanced Study Institute on "Computer algorithms for solving linear algebraic equations: the state of the art" was held September 9-21, 1990, at II Ciocco, Barga, Italy. It was attended by 68 students (among them many well known specialists in related fields!) from the following countries: Belgium, Brazil, Canada, Czechoslovakia, Denmark, France, Germany, Greece, Holland, Hungary, Italy, Portugal, Spain, Turkey, UK, USA, USSR, Yugoslavia. Solving linear equations is a fundamental task in most of computational mathematics. Linear systems which are now encountered in practice may be of very large dimension and their solution can still be a challenge in terms of the requirements of accuracy or reasonable computational time. With the advent of supercomputers with vector and parallel features, algorithms which were previously formulated in a framework of sequential operations often need a completely new formulation, and algorithms that were not recommended in a sequential framework may become the best choice. The aim of the ASI was to present the state of the art in this field. While not all important aspects could be covered (for instance there is no presentation of methods using interval arithmetic or symbolic computation), we believe that most important topics were considered, many of them by leading specialists who have contributed substantially to the developments in these fields.

Matrix Computations

Author : Gene H. Golub
Publisher : JHU Press
ISBN 13 : 9780801854149
Total Pages : 734 pages
Book Rating : 4.8/5 (541 download)

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Book Synopsis Matrix Computations by : Gene H. Golub

Download or read book Matrix Computations written by Gene H. Golub and published by JHU Press. This book was released on 1996-10-15 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revised and updated, the third edition of Golub and Van Loan's classic text in computer science provides essential information about the mathematical background and algorithmic skills required for the production of numerical software. This new edition includes thoroughly revised chapters on matrix multiplication problems and parallel matrix computations, expanded treatment of CS decomposition, an updated overview of floating point arithmetic, a more accurate rendition of the modified Gram-Schmidt process, and new material devoted to GMRES, QMR, and other methods designed to handle the sparse unsymmetric linear system problem.

Numerical Solution of Elliptic and Parabolic Partial Differential Equations with CD-ROM

Author : John A. Trangenstein
Publisher : Cambridge University Press
ISBN 13 : 0521877261
Total Pages : 657 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Numerical Solution of Elliptic and Parabolic Partial Differential Equations with CD-ROM by : John A. Trangenstein

Download or read book Numerical Solution of Elliptic and Parabolic Partial Differential Equations with CD-ROM written by John A. Trangenstein and published by Cambridge University Press. This book was released on 2013-04-18 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: For mathematicians and engineers interested in applying numerical methods to physical problems this book is ideal. Numerical ideas are connected to accompanying software, which is also available online. By seeing the complete description of the methods in both theory and implementation, students will more easily gain the knowledge needed to write their own application programs or develop new theory. The book contains careful development of the mathematical tools needed for analysis of the numerical methods, including elliptic regularity theory and approximation theory. Variational crimes, due to quadrature, coordinate mappings, domain approximation and boundary conditions, are analyzed. The claims are stated with full statement of the assumptions and conclusions, and use subscripted constants which can be traced back to the origination (particularly in the electronic version, which can be found on the accompanying CD-ROM).

Computational Solution of Large-Scale Macroeconometric Models

Author : Giorgio Pauletto
Publisher : Springer Science & Business Media
ISBN 13 : 1475726317
Total Pages : 175 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Computational Solution of Large-Scale Macroeconometric Models by : Giorgio Pauletto

Download or read book Computational Solution of Large-Scale Macroeconometric Models written by Giorgio Pauletto and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of my doctoral dissertation research at the Department of Econometrics of the University of Geneva, Switzerland. This research was also partially financed by the Swiss National Science Foundation (grants 12- 31072.91 and 12-40300.94). First and foremost, I wish to express my deepest gratitude to Professor Manfred Gilli, my thesis supervisor, for his constant support and help. I would also like to thank the president of my jury, Professor Fabrizio Carlevaro, as well as the other members of the jury, Professor Andrew Hughes Hallett, Professor Jean-Philippe Vial and Professor Gerhard Wanner. I am grateful to my colleagues and friends of the Departement of Econometrics, especially David Miceli who provided constant help and kind understanding during all the stages of my research. I would also like to thank Pascale Mignon for proofreading my text and im proving my English. Finally, I am greatly indebted to my parents for their kindness and encourage ments without which I could never have achieved my goals. Giorgio Pauletto Department of Econometrics, University of Geneva, Geneva, Switzerland Chapter 1 Introduction The purpose of this book is to present the available methodologies for the solution of large-scale macroeconometric models. This work reviews classical solution methods and introduces more recent techniques, such as parallel com puting and nonstationary iterative algorithms.

Robust Preconditioning for Sparse Linear Systems

Author : Edmond Ten-Fu Chow
Publisher :
ISBN 13 :
Total Pages : 372 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Robust Preconditioning for Sparse Linear Systems by : Edmond Ten-Fu Chow

Download or read book Robust Preconditioning for Sparse Linear Systems written by Edmond Ten-Fu Chow and published by . This book was released on 1997 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parallel Iterative Algorithms

Author : Jacques Mohcine Bahi
Publisher : CRC Press
ISBN 13 : 1584888091
Total Pages : 237 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Parallel Iterative Algorithms by : Jacques Mohcine Bahi

Download or read book Parallel Iterative Algorithms written by Jacques Mohcine Bahi and published by CRC Press. This book was released on 2007-11-28 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on grid computing and asynchronism, Parallel Iterative Algorithms explores the theoretical and practical aspects of parallel numerical algorithms. Each chapter contains a theoretical discussion of the topic, an algorithmic section that fully details implementation examples and specific algorithms, and an evaluation of the advantages and dr

Numerical Methods and Software Tools in Industrial Mathematics

Author : A. Tveito
Publisher : Springer Science & Business Media
ISBN 13 : 1461219841
Total Pages : 404 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Numerical Methods and Software Tools in Industrial Mathematics by : A. Tveito

Download or read book Numerical Methods and Software Tools in Industrial Mathematics written by A. Tveito and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: 13. 2 Abstract Saddle Point Problems . 282 13. 3 Preconditioned Iterative Methods . 283 13. 4 Examples of Saddle Point Problems 286 13. 5 Discretizations of Saddle Point Problems. 290 13. 6 Numerical Results . . . . . . . . . . . . . 295 III GEOMETRIC MODELLING 299 14 Surface Modelling from Scattered Geological Data 301 N. P. Fremming, @. Hjelle, C. Tarrou 14. 1 Introduction. . . . . . . . . . . 301 14. 2 Description of Geological Data 302 14. 3 Triangulations . . . . . . . . 304 14. 4 Regular Grid Models . . . . . 306 14. 5 A Composite Surface Model. 307 14. 6 Examples . . . . . . 312 14. 7 Concluding Remarks. . . . . 314 15 Varioscale Surfaces in Geographic Information Systems 317 G. Misund 15. 1 Introduction. . . . . . . . . . . . . . . 317 15. 2 Surfaces of Variable Resolution . . . . 318 15. 3 Surface Varioscaling by Normalization 320 15. 4 Examples . . . 323 15. 5 Final Remarks . . . . . . . . . . . . . 327 16 Surface Modelling from Biomedical Data 329 J. G. Bjaalie, M. Dtllhlen, T. V. Stensby 16. 1 Boundary Polygons. . . . . . . . . . . 332 16. 2 Curve Approximation . . . . . . . . . 333 16. 3 Reducing Twist in the Closed Surface 336 16. 4 Surface Approximation. 337 16. 5 Open Surfaces. . . . 339 16. 6 Examples . . . . . . 340 16. 7 Concluding Remarks 344 17 Data Reduction of Piecewise Linear Curves 347 E. Arge, M. Dtllhlen 17. 1 Introduction. . . . . . . . . . . 347 17. 2 Preliminaries . . . . . . . . . . 349 17. 3 The Intersecting Cones Method 351 17. 4 The Improved Douglas Method 353 17. 5 Numerical Examples . . . . . . 360 17. 6 Resolution Sorting . . . . . . . . . . . . . . . . . . 361 18 Aspects of Algorithms for Manifold Intersection 365 T. Dokken 18. 1 Introduction . . . . . . . . . . . . . . . 365 18. 2 Basic Concepts Used . . . . . . . . . .

A Journey through the History of Numerical Linear Algebra

Author : Claude Brezinski
Publisher : SIAM
ISBN 13 : 1611977231
Total Pages : 813 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis A Journey through the History of Numerical Linear Algebra by : Claude Brezinski

Download or read book A Journey through the History of Numerical Linear Algebra written by Claude Brezinski and published by SIAM. This book was released on 2022-12-06 with total page 813 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Parallel Algorithms for Matrix Computations

Author : K. Gallivan
Publisher : SIAM
ISBN 13 : 0898712602
Total Pages : 204 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Parallel Algorithms for Matrix Computations by : K. Gallivan

Download or read book Parallel Algorithms for Matrix Computations written by K. Gallivan and published by SIAM. This book was released on 1990-01-01 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Parallelism.

Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations

Author : David E. Keyes
Publisher : SIAM
ISBN 13 : 9780898712889
Total Pages : 642 pages
Book Rating : 4.7/5 (128 download)

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Book Synopsis Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations by : David E. Keyes

Download or read book Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations written by David E. Keyes and published by SIAM. This book was released on 1992-01-01 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers presented at the May 1991 symposium reflect continuing interest in the role of domain decomposition in the effective utilization of parallel systems; applications in fluid mechanics, structures, biology, and design optimization; and maturation of analysis of elliptic equations, with theoretic