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Numerical linear algebra : theory and applications / Larisa Beilina, Evgenii Karchevskii, Mikhail Karchevskii.

Beilina, Larisa, author.; Karchevskii, Evgenii, author.; Karchevskii, Mikhail, author.
2017
QA184.2
Available Online
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Title
Numerical linear algebra : theory and applications / Larisa Beilina, Evgenii Karchevskii, Mikhail Karchevskii.
Author
Beilina, Larisa, author.
ISBN
9783319573045 (electronic book)
3319573047 (electronic book)
9783319573021
DOI
https://doi.org/10.1007/978-3-319-57304-5
Published
Cham, Switzerland : Springer, 2017.
Language
English
Description
1 online resource (xii, 450 pages) : illustrations.
Item Number
10.1007/978-3-319-57304-5 doi
Call Number
QA184.2
Dewey Decimal Classification
512/.5
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.
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Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed October 4, 2017).
Added Author
Karchevskii, Evgenii, author.
Karchevskii, Mikhail, author.
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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.

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