Numerical Linear Algebra: Theory and Applications

• Κύριοι συγγραφείς: Beilina, Larisa (Συγγραφέας), Karchevskii, Evgenii (Συγγραφέας), Karchevskii, Mikhail (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Θέματα: 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,...

Πίνακας περιεχομένων:

• 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.