Numerical Linear Algebra: Theory and Applications

• Main Authors: Beilina, Larisa (Author), Karchevskii, Evgenii (Author), Karchevskii, Mikhail (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Subjects: Mathematics.; Matrix theory.; Algebra.; Linear and Multilinear Algebras, Matrix Theory.

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,...

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.