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Titlebook: Scientific Computing; Vol. II - Eigenvalue John A. Trangenstein Textbook 2017 Springer International Publishing AG, part of Springer Nature

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发表于 2025-3-21 16:15:35 | 显示全部楼层 |阅读模式
书目名称Scientific Computing
副标题Vol. II - Eigenvalue
编辑John A. Trangenstein
视频video
概述Interactive HTML version uses 24 JavaScript programs for reader experimentation with algorithms.Combines analysis of well-posedness for scientific computing problems with perturbation analysis of rela
丛书名称Texts in Computational Science and Engineering
图书封面Titlebook: Scientific Computing; Vol. II - Eigenvalue John A. Trangenstein Textbook 2017 Springer International Publishing AG, part of Springer Nature
描述.This is the second of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses more advanced topics than volume one, and is largely not a prerequisite for volume three. This book and its companions show how to determine the quality of computational results, and how to measure the relative efficiency of competing methods. Readers learn how to determine the maximum attainable accuracy of algorithms, and how to select the best method for computing problems. This book also discusses programming in several languages, including C++, Fortran and MATLAB. There are 49 examples, 110 exercises, 66 algorithms, 24 interactive JavaScript programs, 77 references to software programs and 1 case study...Topics are introduced with goals, literature references and links to public software. There are descriptions of the current algorithms in LAPACK, GSLIB and MATLAB...This book could be used for a second course innumerical methods, for either upper level undergraduates or first year graduate students. Parts of the text could be used for specialized courses, such as nonlinear optimization or iterative linear algebra..
出版日期Textbook 2017
关键词algorithm; convergence; efficiency; error; factorization; matrix; optimization; perturbation; programming; or
版次1
doihttps://doi.org/10.1007/978-3-319-69107-7
isbn_softcover978-3-030-09871-1
isbn_ebook978-3-319-69107-7Series ISSN 1611-0994 Series E-ISSN 2197-179X
issn_series 1611-0994
copyrightSpringer International Publishing AG, part of Springer Nature 2017
The information of publication is updating

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Constrained Optimization,lity. Quadratic programming problems are analyzed, and numerical methods for their solution are developed. The chapter ends with general nonlinear constrained optimization problems and a variety of numerical techniques based on feasible searches, penalty methods, augmented Lagrangians and sequential quadratic programming.
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Eigenvalues and Eigenvectors,amental Theorem of Algebra, the Gerschgorin circle theorem, invariant subspaces, change of basis, spectral radius and the distance between subspaces are developed. Hermitian matrices are analyzed through the spectral theorem, and a perturbation analysis of their eigenvalue problem is performed. This
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Nonlinear Systems,culus, and continues on to an analysis of the existence and uniqueness of zeros of nonlinear functions. The basic theory also covers perturbation analysis, and the notion of convergence rates of sequences. Newton’s method is the first numerical method presented, and its convergence is analyzed, espe
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Constrained Optimization, functional subject to linear equality or inequality constraints. A standard forms of this problem is presented, its feasibility is analyzed, and the fundamental theorem of linear programming is proved. Afterwards, the simplex method is developed, together with starting techniques and implementation
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iffen werden, um die Motivation der Mitarbeiter für die Wissensteilung zu initiieren. Im Folgenden werden konkrete wissenskulturelle Gestaltungsmöglichkeiten illustriert. Anreiztheorien liefern Handlungsempfehlungen, wie mit Hilfe von Anreizsystemen die Motivation und somit die Performanz der Mitarb
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