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Titlebook: Numerical Linear Algebra and Matrix Factorizations; Tom Lyche Textbook 2020 Springer Nature Switzerland AG 2020 numerical linear algebra.m

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书目名称Numerical Linear Algebra and Matrix Factorizations
编辑Tom Lyche
视频video
概述Detailed proofs of practically all results making it suitable for self-study.Detailed algorithms in Matlab.The book is self-contained, assuming only first year calculus
丛书名称Texts in Computational Science and Engineering
图书封面Titlebook: Numerical Linear Algebra and Matrix Factorizations;  Tom Lyche Textbook 2020 Springer Nature Switzerland AG 2020 numerical linear algebra.m
描述.After reading this book, students should be able to analyze computational problems in linear algebra such as linear systems, least squares- and eigenvalue problems, and to develop their own algorithms for solving them. .Since these problems can be large and difficult to handle, much can be gained by understanding and taking advantage of special structures. This in turn requires a good grasp of basic numerical linear algebra and matrix factorizations. Factoring a matrix into a product of simpler matrices is a crucial tool in numerical linear algebra, because it allows us to tackle complex problems by solving a sequence of easier ones. ..The main characteristics of this book are as follows: ..It is self-contained, only assuming that readers have completed first-year calculus and an introductory course on linear algebra, and that they have some experience with solving mathematical problems on a computer. The book provides detailed proofs of virtually all results.Further, its respective parts can be used independently, making it suitable for self-study. ..The book consists of 15 chapters, divided into five thematically oriented parts. The chapters are designed for a one-week-per-chapt
出版日期Textbook 2020
关键词numerical linear algebra; matrix theory; MATLAB programming; linear systems; least squares; eigenvalue pr
版次1
doihttps://doi.org/10.1007/978-3-030-36468-7
isbn_softcover978-3-030-36470-0
isbn_ebook978-3-030-36468-7Series ISSN 1611-0994 Series E-ISSN 2197-179X
issn_series 1611-0994
copyrightSpringer Nature Switzerland AG 2020
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Texts in Computational Science and Engineeringhttp://image.papertrans.cn/n/image/669013.jpg
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A Short Review of Linear Algebra,In this introductory chapter we give a compact introduction to linear algebra with emphasis on . and ..
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Gaussian Elimination and LU FactorizationsIn this chapter we first review Gaussian elimination. Gaussian elimination leads to an LU factorization of the coefficient matrix or more generally to a PLU factorization, if row interchanges are introduced. Here . is a permutation matrix, . is lower triangular and . is upper triangular.
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Matrix Norms and Perturbation Theory for Linear SystemsNorms are used to measure the size of vector and matrices.
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