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Titlebook: Numerical Linear Algebra: Theory and Applications; Larisa Beilina,Evgenii Karchevskii,Mikhail Karchev Textbook 2017 Springer International

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书目名称Numerical Linear Algebra: Theory and Applications
编辑Larisa Beilina,Evgenii Karchevskii,Mikhail Karchev
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概述Presents extended basic theory of linear algebra.Includes programs in MATLAB that provide students with experience in implementation and evaluation of numerical algorithms.Perfect for a one or two sem
图书封面Titlebook: Numerical Linear Algebra: Theory and Applications;  Larisa Beilina,Evgenii Karchevskii,Mikhail Karchev Textbook 2017 Springer International
描述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 eigenproblems. 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..
出版日期Textbook 2017
关键词Eigenvalues; Eigenvectors; Large Sparse Matrices; Matrix Algorithms; Matrix Computatioms; Numerical Linea
版次1
doihttps://doi.org/10.1007/978-3-319-57304-5
isbn_softcover978-3-319-86127-2
isbn_ebook978-3-319-57304-5
copyrightSpringer International Publishing AG 2017
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Linear Operators,e-dimensional linear spaces. We give a detailed investigation of their spectral properties. Special attention is paid to the study of the structure of the main classes of linear operators in finite-dimensional Euclidean and unitary spaces.
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Algorithms for the Nonsymmetric Eigenvalue Problem,applied to dense matrices, and iterative methods such as the Rayleigh–Ritz method and Lanczos’s algorithm are applied to sparse matrices. Iterative methods usually can compute not all of the eigenvalues and eigenvectors, but only some subset, and their convergence depends on the structure of the mat
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Larisa Beilina,Evgenii Karchevskii,Mikhail Karchevskiignaling components would result in severe innate immune deficiency. However, to date, relatively few mutations have been described that underlie deficient TLR4 signaling and increased susceptibility to infectious disease. These include mutations in TLR4, the IRAK-4 enzyme, and in NEMO (IKK.) and I.B
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