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Scientific Computing : Vol. II - Eigenvalues and Optimization / / by John A. Trangenstein



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Autore: Trangenstein J. A (John Arthur), <1949-> Visualizza persona
Titolo: Scientific Computing : Vol. II - Eigenvalues and Optimization / / by John A. Trangenstein Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Edizione: 1st ed. 2017.
Descrizione fisica: 1 online resource (XXVI, 600 p. 645 illus., 111 illus. in color.)
Disciplina: 512.9436
Soggetto topico: Computer science - Mathematics
Differential equations
Mathematical optimization
Computational Mathematics and Numerical Analysis
Ordinary Differential Equations
Optimization
Nota di contenuto: 1. Eigenvalues and Eigenvectors -- 2. Iterative Linear Algebra -- 3. Nonlinear Systems -- 4. Constrained Optimization -- References -- Author Index.
Sommario/riassunto: 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 in numerical 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.
Titolo autorizzato: Scientific Computing  Visualizza cluster
ISBN: 3-319-69107-4
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910279754703321
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Serie: Texts in Computational Science and Engineering, . 1611-0994 ; ; 19