03492nam 22005655 450 991027975470332120231128174452.03-319-69107-410.1007/978-3-319-69107-7(CKB)4100000004243470(DE-He213)978-3-319-69107-7(MiAaPQ)EBC6310592(PPN)227402669(EXLCZ)99410000000424347020180514d2017 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierScientific Computing Vol. II - Eigenvalues and Optimization /by John A. Trangenstein1st ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (XXVI, 600 p. 645 illus., 111 illus. in color.)Texts in Computational Science and Engineering,1611-0994 ;193-319-69106-6 1. Eigenvalues and Eigenvectors -- 2. Iterative Linear Algebra -- 3. Nonlinear Systems -- 4. Constrained Optimization -- References -- Author Index.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.Texts in Computational Science and Engineering,1611-0994 ;19Computer scienceMathematicsDifferential equationsMathematical optimizationComputational Mathematics and Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M1400XOrdinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26008Computer scienceMathematics.Differential equations.Mathematical optimization.Computational Mathematics and Numerical Analysis.Ordinary Differential Equations.Optimization.512.9436Trangenstein J. A(John Arthur),1949-authttp://id.loc.gov/vocabulary/relators/aut506734MiAaPQMiAaPQMiAaPQBOOK9910279754703321Scientific Computing1563009UNINA