Handbook of Linear Algebra

Leslie Hogben - Collection Discrete Mathematics and Its Applications

984 pages, parution le 04/12/2006

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Résumé

Presents basic as well as advanced linear algebra concepts, such as matrix perturbation theory and inverse eigenvalue problems
Features matrix notation throughout the text
Covers combinatorial and numerical linear algebra-two important branches of linear algebra
Explores both mathematical and nonmathematical applications, such as quantum computing, control theory, signal processing, and computational biology
Discusses software packages useful for linear algebra computations, including MATLAB®, Maple, and Mathematica®
Provides numerous references for additional information along with a glossary that covers all major linear algebra terminology

The Handbook of Linear Algebra provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use handbook format. The esteemed international contributors guide you from the very elementary aspects of the subject to the frontiers of current research.

The book features an accessible layout of parts, chapters, and sections, with each section containing definition, fact, and example segments. The five main parts of the book encompass the fundamentals of linear algebra, combinatorial and numerical linear algebra, applications of linear algebra to various mathematical and nonmathematical disciplines, and software packages for linear algebra computations. Within each section, the facts (or theorems) are presented in a list format and include references for each fact to encourage further reading, while the examples illustrate both the definitions and the facts.

Linearization often enables difficult problems to be estimated by more manageable linear ones, making the Handbook of Linear Algebra essential reading for professionals who deal with an assortment of mathematical problems.

L'auteur - Leslie Hogben

Leslie Hogben : Iowa State University, Ames, Iowa, USA

Sommaire

Linear algebra
- Basic linear algebra
- Matrices with special properties
- Advanced linear algebra
- Topics in advanced linear algebra
Combinatorial matrix theory and graphs
- Matrices and graphs
- Topics in combinatorial matrix theory
- Numerical methods
- Numerical methods for linear systems
- Numerical methods for eigenvalues
- Computational linear algebra
Applications
- Applications to optimization
- Applications to probability and statistics
- Applications to analysis
- Applications to physical and biological sciences
- Applications to computer science
- Applications to geometry
- Applications to algebra
Computational software
- Interactive software for linear algebra
- Matlab
- Packages of subroutines for linear algebra
- Blas
- Lapack
- Glossary
- Notation index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Chapman and Hall / CRC
Auteur(s)	Leslie Hogben
Collection	Discrete Mathematics and Its Applications
Parution	04/12/2006
Nb. de pages	984
Format	18,5 x 26
Couverture	Relié
Poids	2300g
Intérieur	Noir et Blanc
EAN13	9781584885108
ISBN13	978-1-58488-510-8