Templates For The Solution Of Linear Systems
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Author | : Richard Barrett |
Publisher | : SIAM |
Total Pages | : 141 |
Release | : 1994-01-01 |
Genre | : Mathematics |
ISBN | : 9781611971538 |
Download Templates for the Solution of Linear Systems Book in PDF, Epub and Kindle
In this book, which focuses on the use of iterative methods for solving large sparse systems of linear equations, templates are introduced to meet the needs of both the traditional user and the high-performance specialist. Templates, a description of a general algorithm rather than the executable object or source code more commonly found in a conventional software library, offer whatever degree of customization the user may desire. Templates offer three distinct advantages: they are general and reusable; they are not language specific; and they exploit the expertise of both the numerical analyst, who creates a template reflecting in-depth knowledge of a specific numerical technique, and the computational scientist, who then provides "value-added" capability to the general template description, customizing it for specific needs. For each template that is presented, the authors provide: a mathematical description of the flow of algorithm; discussion of convergence and stopping criteria to use in the iteration; suggestions for applying a method to special matrix types; advice for tuning the template; tips on parallel implementations; and hints as to when and why a method is useful.
Author | : Richard Barrett |
Publisher | : SIAM |
Total Pages | : 130 |
Release | : 1994-01-01 |
Genre | : Mathematics |
ISBN | : 0898713285 |
Download Templates for the Solution of Linear Systems Book in PDF, Epub and Kindle
Mathematics of Computing -- Numerical Analysis.
Author | : Zhaojun Bai |
Publisher | : SIAM |
Total Pages | : 430 |
Release | : 2000-01-01 |
Genre | : Computers |
ISBN | : 0898714710 |
Download Templates for the Solution of Algebraic Eigenvalue Problems Book in PDF, Epub and Kindle
Mathematics of Computing -- Numerical Analysis.
Author | : Richard S Varga |
Publisher | : Springer Science & Business Media |
Total Pages | : 363 |
Release | : 2009-12-05 |
Genre | : Mathematics |
ISBN | : 3642051561 |
Download Matrix Iterative Analysis Book in PDF, Epub and Kindle
This book is a revised version of the first edition, regarded as a classic in its field. In some places, newer research results have been incorporated in the revision, and in other places, new material has been added to the chapters in the form of additional up-to-date references and some recent theorems to give readers some new directions to pursue.
Author | : H. A. van der Vorst |
Publisher | : Cambridge University Press |
Total Pages | : 242 |
Release | : 2003-04-17 |
Genre | : Mathematics |
ISBN | : 9780521818285 |
Download Iterative Krylov Methods for Large Linear Systems Book in PDF, Epub and Kindle
Table of contents
Author | : R. Et Al Barrett |
Publisher | : |
Total Pages | : 0 |
Release | : |
Genre | : |
ISBN | : |
Download Templates For The Solution Of Linear Systems: Building Blocks For Iterative Methods Book in PDF, Epub and Kindle
Author | : James W. Demmel |
Publisher | : SIAM |
Total Pages | : 426 |
Release | : 1997-08-01 |
Genre | : Mathematics |
ISBN | : 0898713897 |
Download Applied Numerical Linear Algebra Book in PDF, Epub and Kindle
This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.
Author | : David E. Keyes |
Publisher | : Springer Science & Business Media |
Total Pages | : 403 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401154120 |
Download Parallel Numerical Algorithms Book in PDF, Epub and Kindle
In this volume, designed for computational scientists and engineers working on applications requiring the memories and processing rates of large-scale parallelism, leading algorithmicists survey their own field-defining contributions, together with enough historical and bibliographical perspective to permit working one's way to the frontiers. This book is distinguished from earlier surveys in parallel numerical algorithms by its extension of coverage beyond core linear algebraic methods into tools more directly associated with partial differential and integral equations - though still with an appealing generality - and by its focus on practical medium-granularity parallelism, approachable through traditional programming languages. Several of the authors used their invitation to participate as a chance to stand back and create a unified overview, which nonspecialists will appreciate.
Author | : Beresford N. Parlett |
Publisher | : SIAM |
Total Pages | : 422 |
Release | : 1998-01-01 |
Genre | : Mathematics |
ISBN | : 9781611971163 |
Download The Symmetric Eigenvalue Problem Book in PDF, Epub and Kindle
According to Parlett, "Vibrations are everywhere, and so too are the eigenvalues associated with them. As mathematical models invade more and more disciplines, we can anticipate a demand for eigenvalue calculations in an ever richer variety of contexts." Anyone who performs these calculations will welcome the reprinting of Parlett's book (originally published in 1980). In this unabridged, amended version, Parlett covers aspects of the problem that are not easily found elsewhere. The chapter titles convey the scope of the material succinctly. The aim of the book is to present mathematical knowledge that is needed in order to understand the art of computing eigenvalues of real symmetric matrices, either all of them or only a few. The author explains why the selected information really matters and he is not shy about making judgments. The commentary is lively but the proofs are terse. The first nine chapters are based on a matrix on which it is possible to make similarity transformations explicitly. The only source of error is inexact arithmetic. The last five chapters turn to large sparse matrices and the task of making approximations and judging them.
Author | : Louis Komzsik |
Publisher | : SIAM |
Total Pages | : 99 |
Release | : 2003-01-01 |
Genre | : Mathematics |
ISBN | : 9780898718188 |
Download The Lanczos Method Book in PDF, Epub and Kindle
The Lanczos Method: Evolution and Application is divided into two distinct parts. The first part reviews the evolution of one of the most widely used numerical techniques in the industry. The development of the method, as it became more robust, is demonstrated through easy-to-understand algorithms. The second part contains industrial applications drawn from the author's experience. These chapters provide a unique interaction between the numerical algorithms and their engineering applications.