03307nam 22005295 450 991025430970332120200705051231.03-319-57304-710.1007/978-3-319-57304-5(CKB)4100000000586875(DE-He213)978-3-319-57304-5(MiAaPQ)EBC6312552(MiAaPQ)EBC5579582(Au-PeEL)EBL5579582(OCoLC)1066180442(PPN)204535891(EXLCZ)99410000000058687520170919d2017 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierNumerical Linear Algebra: Theory and Applications[electronic resource] /by Larisa Beilina, Evgenii Karchevskii, Mikhail Karchevskii1st ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (XIV, 450 p. 15 illus., 14 illus. in color.) 3-319-57302-0 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.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.Matrix theoryAlgebraLinear and Multilinear Algebras, Matrix Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11094Matrix theory.Algebra.Linear and Multilinear Algebras, Matrix Theory.512.5Beilina Larisaauthttp://id.loc.gov/vocabulary/relators/aut767450Karchevskii Evgeniiauthttp://id.loc.gov/vocabulary/relators/autKarchevskii Mikhailauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910254309703321Numerical Linear Algebra: Theory and Applications2182296UNINA