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The Theory of Matrices in Numerical Analysis

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This book represents an effort to select and present certain aspects of the theory of matrices that are most useful in developing and appraising computational methods for solving systems of linear equations (including the inversion of matrices) and for finding characteristic roots. The solution of linear inequalities and the problems of linear programing are not explicitly considered since there are special difficulties inherent in these problems that are largely combinatorial in character and require a quite different approach.

The list of titles at the end of the book should provide convincing evidence that the problems that are treated here are of considerable interest to numerical analysts, and also to mathematicians. This list is culled from perhaps twice as many titles contained in the author's files: these files are certainly not complete, and the number of publications grows at an accelerating rate. The reason is clear. A finite digital computer can be applied to the solution of functional equations and infinite systems only when finite approximations have been made; and usually the first step toward solving a nonlinear system is to linearize. Thus finite linear systems stand at the heart of all mathematical computation. Moreover as science and technology develop, and computers become more powerful, systems to be handled become larger and require techniques that are more refined and efficient.
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Getting Started with HTML5 WebSocket Programming
Getting Started with HTML5 WebSocket Programming

Develop and deploy your first secure and scalable real-time web application

Overview

  • Start real-time communication in your web applications
  • Create a feature-rich WebSocket chat application
  • Learn the step-by-step configuration of the server and clients
  • ...
Patterns Direct Connections for Intra- And Inter-Enterprise: Direct Connections for Intra- And Inter-Enterprise
Patterns Direct Connections for Intra- And Inter-Enterprise: Direct Connections for Intra- And Inter-Enterprise

The Patterns for e-business are a group of proven, reusable assets that can be used to increase the speed of developing and deploying Web applications. This IBM Redbook focuses on point-to-point application integration using the Process-focused Application Integration::Direct Connection application pattern for intra-enterprise, and the Extended...

Microsoft Office Word 2007 QuickSteps
Microsoft Office Word 2007 QuickSteps
Step-by-Step, Full-Color Graphics!

Get started using Word 2007 right away--the QuickSteps way. Color screenshots and clear instructions show you how to use all the new and improved features. Follow along and learn to work with the new Office interface and ribbon, create and format documents, add graphics, use templates, and...


Computer Vision/Computer Graphics Collaboration Techniques: 4th International Conference, MIRAGE 2009
Computer Vision/Computer Graphics Collaboration Techniques: 4th International Conference, MIRAGE 2009

This volume collects the papers accepted for presentation at MIRAGE 2009. The MIRAGE conference is continuing to receive international recognition, with this year’s presentations coming from 25 countries despite the large worldwide financial crisis. This time Asia submitted far fewer papers than previously and fewer than Europe. France...

PMP in Depth: Project Management Professional Study Guide for the PMP Exam
PMP in Depth: Project Management Professional Study Guide for the PMP Exam

The primary purpose of this book is to help you pass the Project Management Professional (PMP) exam administered by the Project Management Institute (PMI). Because the book has a laser-sharp focus on the exam objectives, expert project managers who want to pass the PMP exam can use this book to ensure that they do not miss any objective. Yet...

Neural Networks in a Softcomputing Framework
Neural Networks in a Softcomputing Framework
Conventional model-based data processing methods are computationally expensive and require experts’ knowledge for the modelling of a system; neural networks provide a model-free, adaptive, parallel-processing solution. Neural Networks in a Softcomputing Framework presents a thorough review of the most popular neural-network methods and their...
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