Author : Gerard Meurant
Publisher : SIAM
Page : 374 pages
File Size : 30,85 MB
Release : 2006-08-01
Category : Computers
ISBN : 0898716160
The most comprehensive and up-to-date discussion available of the Lanczos and CG methods for computing eigenvalues and solving linear systems.
Author : Louis Komzsik
Publisher : SIAM
Page : 99 pages
File Size : 45,45 MB
Release : 2003-01-01
Category : Mathematics
ISBN : 9780898718188
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.
Author : Louis Komzsik
Publisher : SIAM
Page : 89 pages
File Size : 37,14 MB
Release : 2003-01-01
Category : Mathematics
ISBN : 0898715377
A valuable reference on the Lanczos method for graduate numerical analysts and engineers.
Author : James R. Bunch
Publisher : Academic Press
Page : 468 pages
File Size : 21,47 MB
Release : 2014-05-10
Category : Mathematics
ISBN : 1483263401
Sparse Matrix Computations is a collection of papers presented at the 1975 Symposium by the same title, held at Argonne National Laboratory. This book is composed of six parts encompassing 27 chapters that contain contributions in several areas of matrix computations and some of the most potential research in numerical linear algebra. The papers are organized into general categories that deal, respectively, with sparse elimination, sparse eigenvalue calculations, optimization, mathematical software for sparse matrix computations, partial differential equations, and applications involving sparse matrix technology. This text presents research on applied numerical analysis but with considerable influence from computer science. In particular, most of the papers deal with the design, analysis, implementation, and application of computer algorithms. Such an emphasis includes the establishment of space and time complexity bounds and to understand the algorithms and the computing environment. This book will prove useful to mathematicians and computer scientists.
Author : Gene H. Golub
Publisher : Princeton University Press
Page : 376 pages
File Size : 43,48 MB
Release : 2009-12-07
Category : Mathematics
ISBN : 1400833884
This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. The book bridges different mathematical areas to obtain algorithms to estimate bilinear forms involving two vectors and a function of the matrix. The first part of the book provides the necessary mathematical background and explains the theory. The second part describes the applications and gives numerical examples of the algorithms and techniques developed in the first part. Applications addressed in the book include computing elements of functions of matrices; obtaining estimates of the error norm in iterative methods for solving linear systems and computing parameters in least squares and total least squares; and solving ill-posed problems using Tikhonov regularization. This book will interest researchers in numerical linear algebra and matrix computations, as well as scientists and engineers working on problems involving computation of bilinear forms.
Author : Yousef Saad
Publisher : SIAM
Page : 292 pages
File Size : 40,31 MB
Release : 2011-01-01
Category : Mathematics
ISBN : 9781611970739
This revised edition discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications. Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest, and adapting the Notes and References section. Significant changes have been made to Chapters 6 through 8, which describe algorithms and their implementations and now include topics such as the implicit restart techniques, the Jacobi-Davidson method, and automatic multilevel substructuring.
Author : David E. Keyes
Publisher : Springer Science & Business Media
Page : 403 pages
File Size : 34,39 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 9401154120
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 : Yousef Saad
Publisher : SIAM
Page : 537 pages
File Size : 18,99 MB
Release : 2003-04-01
Category : Mathematics
ISBN : 0898715342
Mathematics of Computing -- General.
Author : Zhaojun Bai
Publisher : SIAM
Page : 430 pages
File Size : 27,84 MB
Release : 2000-01-01
Category : Computers
ISBN : 0898714710
Mathematics of Computing -- Numerical Analysis.
Author : James W. Demmel
Publisher : SIAM
Page : 426 pages
File Size : 12,40 MB
Release : 1997-08-01
Category : Mathematics
ISBN : 0898713897
This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.
