This introductory text is based on courses within a multi-semester cycle on “Numerical Mathematics” given by the author at the Universities in Saarbrücken and Heidelberg. In the present part basic concepts of numerical methods are presented for solving linear optimization problems (so-called “Linear Programming”). This includes besides the classical ”Simplex method“ also modern ”Interior-point methods“. As natural extensions methods for convex nonlinear, especially quadratic, optimization problems are discussed. Theoretical as well as practical aspects are considered. As prerequisite only that prior knowledge is required, which is usually taught in the introductory Analysis, Linear Algebra, and Numerics courses. For facilitating self-learning the book contains theoretical and practical exercises with solutions collected in the appendix.
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Prof. i.R. für Numerische Mathematik an der Universität Heidelberg; Studium der Mathematik an der Universität Frankfurt a. Main – Promotion 1974; Habilitation 1978 in Bonn; 1979/1980 Vis. Assoc. Prof. an der University of Michigan (Ann Arbor, USA), dann Prof. in Erlangen und Saarbrücken – in Heidelberg seit 1988; Spezialgebiet ”Numerik partieller Differentialgleichungen“, insbesondere ”Methode der finiten Elemente“ mit Anwendungen in Natur- und Ingenieurwissenschaften; hierzu über 160 publizierte wissenschaftliche Arbeiten.
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Taschenbuch. Zustand: Sehr gut. Gebraucht - Sehr gut SG - leichte Beschädigungen oder Verschmutzungen, ungelesenes Mängelexemplar, gestempelt - This introductory text is based on lectures within a multi-semester course on 'Numerical Mathematics' taught by the author at Heidelberg University. The present volume treats algorithms for solving basic problems from Linear Algebra such as (large) systems of linear equations and corresponding eigenvalue problems. Theoretical as well as practical aspects are considered. Applications are found in the discretization of partial di erential equations and in spectral stability analysis. As prerequisite only that prior knowledge is required as is usually taught in the introductory Analysis and Linear Algebra courses. For supporting self-study each chapter contains exercises with solutions collected in the appendix. Artikel-Nr. INF1000503294
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Taschenbuch. Zustand: Neu. Numerical Linear Algebra | Rolf Rannacher | Taschenbuch | Englisch | Heidelberg University Publishing | EAN 9783947732005 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Artikel-Nr. 114776118
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