LEADER 03307nam 22005295 450 001 9910254309703321 005 20200705051231.0 010 $a3-319-57304-7 024 7 $a10.1007/978-3-319-57304-5 035 $a(CKB)4100000000586875 035 $a(DE-He213)978-3-319-57304-5 035 $a(MiAaPQ)EBC6312552 035 $a(MiAaPQ)EBC5579582 035 $a(Au-PeEL)EBL5579582 035 $a(OCoLC)1066180442 035 $a(PPN)204535891 035 $a(EXLCZ)994100000000586875 100 $a20170919d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNumerical Linear Algebra: Theory and Applications$b[electronic resource] /$fby Larisa Beilina, Evgenii Karchevskii, Mikhail Karchevskii 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XIV, 450 p. 15 illus., 14 illus. in color.) 311 $a3-319-57302-0 327 $aPreface -- 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. 330 $aThis 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 MATLABŪ 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. 606 $aMatrix theory 606 $aAlgebra 606 $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094 615 0$aMatrix theory. 615 0$aAlgebra. 615 14$aLinear and Multilinear Algebras, Matrix Theory. 676 $a512.5 700 $aBeilina$b Larisa$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767450 702 $aKarchevskii$b Evgenii$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aKarchevskii$b Mikhail$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254309703321 996 $aNumerical Linear Algebra: Theory and Applications$92182296 997 $aUNINA