Numerical linear algebra : theory and applications /

Numerical linear algebra : theory and applications /

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Bibliographic Details
Author / Creator:	Beilina, Larisa, author.
Imprint:	Cham, Switzerland : Springer, 2017.
Description:	1 online resource (xii, 450 pages) : illustrations (some color)
Language:	English
Subject:	Algebras, Linear. Algebras, Linear. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11361766

Hidden Bibliographic Details
Other authors / contributors:	Karchevskii, Evgenii, author. Karchevskii, Mikhail, author.
ISBN:	9783319573045 3319573047 3319573020 9783319573021 9783319573021
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references and index. Online resource; title from PDF title page (SpringerLink, viewed October 4, 2017).
Summary:	This book combines a solid theoretical background in linear algebra with practical algorithms for numerical solution of linear algebra problems. Developed from a number of courses taught repeatedly by the authors, the material covers topics like matrix algebra, theory for linear systems of equations, spectral theory, vector and matrix norms combined with main direct and iterative numerical methods, least squares problems, and eigen problems. Numerical algorithms illustrated by computer programs written in MATLAB® are also provided as supplementary material on SpringerLink to give the reader a better understanding of professional numerical software for the solution of real-life problems. Perfect for a one- or two-semester course on numerical linear algebra, matrix computation, and large sparse matrices, this text will interest students at the advanced undergraduate or graduate level.
Other form:	Printed edition: 9783319573021
Standard no.:	10.1007/978-3-319-57304-5

Table of Contents:

Preface
1. Preliminaries
2. Vector Spaces
3. Inner Product Spaces
4. Linear Operators
5. Canonical Forms and Factorizations
6. Vector and Matrix Norms
7. Elements of the Perturbation Theory
8. Solving Systems of Linear Equations
9. Numerical solution of Linear Least Squares Problems
10. Algorithms for the Nonsymmetric Eigenvalue Problem
11. Algorithms for Solution of Symmetric Eigenvalue problem
12. Introduction to Iterative Methods for Solution of Linear Systems
A. Matlab Programs
References.