Download ebook An Introduction to Applied Matrix Analysis
Download ebook An Introduction to Applied Matrix Analysis

An Introduction to Applied Matrix Analysis.cSeak-weng Vong
An Introduction to Applied Matrix Analysis
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Author: Seak-weng Vong
Page Count: 120 pages
Published Date: 17 Aug 2016
Publisher: World Scientific Publishing Co Pte Ltd
Publication Country: Singapore, Singapore
Language: English
ISBN: 9789814749466
File size: 42 Mb
File Name: An.Introduction.to.Applied.Matrix.Analysis.pdf
Download Link: An Introduction to Applied Matrix Analysis
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It is well known that most problems in science and engineering eventually progress into matrix problems. This book gives an elementary introduction to applied matrix theory and it also includes some new results obtained in recent years.The book consists of eight chapters. It includes perturbation and error analysis; the conjugate gradient method for solving linear systems; preconditioning techniques; and least squares algorithms based on orthogonal transformations, etc. The last two chapters include some latest development in the area. In Chap. 7, we construct optimal preconditioners for functions of matrices. More precisely, let f be a function of matrices. Given a matrix A, there are two choices of constructing optimal preconditioners for f(A). Properties of these preconditioners are studied for different functions. In Chap. 8, we study the Bottcher-Wenzel conjecture and discuss related problems.This is a textbook for senior undergraduate or junior graduate students majoring in science and engineering. The material is accessible to students who, in various disciplines, have basic linear algebra, calculus, numerical analysis, and computing knowledge. The book is also useful to researchers in computational science who are interested in applied matrix theory.

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