Home | Amazing | Today | Tags | Publishers | Years | Account | Search 
Matrix Algorithms, Volume I

Matrix Algorithms, Volume I, 9780898714142 (0898714141), SIAM, 1998
This book, Basic Decompositions, is the first volume in a projected five-volume series entitled Matrix Algorithms. The other four volumes will treat eigensystems, iterative methods for linear systems, sparse direct methods, and special topics, including fast algorithms for structured matrices.

My intended audience is the nonspecialist whose needs cannot be satisfied by black boxes. It seems to me that these people will be chiefly interested in the methods themselves— how they are derived and how they can be adapted to particular problems. Consequently, the focus of the series is on algorithms, with such topics as roundingerror analysis and perturbation theory introduced impromptu as needed. My aim is to bring the reader to the point where he or she can go to the research literature to augment what is in the series.

The series is self-contained. The reader is assumed to have a knowledge of elementary analysis and linear algebra and a reasonable amount of programming experience— about what you would expect from a beginning graduate engineer or an undergraduate in an honors program. Although strictly speaking the individual volumes are not textbooks, they are intended to teach, and my guiding principle has been that if something is worth explaining it is worth explaining fully. This has necessarily restricted the scope of the series, but I hope the selection of topics will give the reader a sound basis for further study.

The focus of this and part of the next volume will be the computation of matrix decompositions—that is, the factorization of matrices into products of simpler ones. This decompositional approach to matrix computations is relatively new: it achieved its definitive form in the early 1960s, thanks to the pioneering work of Alston Householder and James Wilkinson. Before then, matrix algorithms were addressed to specific problems—the solution of linear systems, for example — and were presented at the scalar level in computational tableaus. The decompositional approach has two advantages.

First, by working at the matrix level it facilitates the derivation and analysis of matrix algorithms. Second, by deemphasizing specific problems, the approach turns the decomposition into a computational platform from which a variety of problems can be solved. Thus the initial cost of computing a decomposition can pay for itself many times over.
(HTML tags aren't allowed.)

The Satellite Communication Applications Handbook (Space Applications Series)
The Satellite Communication Applications Handbook (Space Applications Series)
Throughout the 1990s, the satellite communication industry experienced tremendous
growth, surpassing the expectations of all who have contributed to its success.
The gross revenues in 2000 reached $60 billion, big chunks of which were
contributed by satellite manufacture, launch, satellite transponder sales and leases,
Digital Control
Digital Control

Digital control systems are becoming increasingly prevalent and important within industry. In recent years significant progress has been made in their analysis and design – particularly within the areas of microprocessors and digital signal processors. The traditional approach to teaching digital control assumes an understanding of...

Why Programs Fail, Second Edition: A Guide to Systematic Debugging
Why Programs Fail, Second Edition: A Guide to Systematic Debugging

Why Programs Fail, winner of the Jolt Productivity Award, has been freshly updated to bring readers up-to-speed on all the new methodologies that will help save them, their companies, and consumers a lot of headaches. Find out about bugs in computer programs, how to find them, how to reproduce them, and how to fix them in such a way that they do...

Intel Galileo Essentials
Intel Galileo Essentials

Leverage the power of Intel Galileo to construct amazingly simple, yet impressive projects

About This Book

  • Learn how to connect additional hardware to the Intel Galileo to easily create complex robots
  • Understand GPIO pins on the Galileo and how to use them
  • Control a DC...
Paint Shop Pro 8 Fast & Easy
Paint Shop Pro 8 Fast & Easy

Learn how to easily add custom images to your home and business graphics projects with Paint Shop Pro 8 Fast & Easy. The reader will learn how to retouch, repair, and edit photos with easy-to-use, high-quality, automatic photo enhancement features. Built-in Web tools and artistic drawing and text tools enable the reader...

Springer-Handbuch der Mathematik III: Begründet von I.N. Bronstein und K.A. Semendjaew   Weitergeführt von G. Grosche, V. Ziegler und D. Ziegler   Herausgegeben von E. Zeidler (German Edition)
Springer-Handbuch der Mathematik III: Begründet von I.N. Bronstein und K.A. Semendjaew Weitergeführt von G. Grosche, V. Ziegler und D. Ziegler Herausgegeben von E. Zeidler (German Edition)

Als mehrbändiges Nachschlagewerk ist das Springer-Handbuch der Mathematik in erster Linie für wissenschaftliche Bibliotheken, akademische Institutionen und Firmen sowie interessierte Individualkunden in Forschung und Lehre gedacht. Es ergänzt das einbändige themenumfassende Springer-Taschenbuch der Mathematik...

©2019 LearnIT (support@pdfchm.net) - Privacy Policy