Introduction to numerical linear algebra and optimization / Philippe Gaston Ciarlet

Public ISBD Titre : Introduction to numerical linear algebra and optimization Type de document : texte imprimé Auteurs : Philippe Gaston Ciarlet (1938-....), Auteur ; Bernadette Miara, Collaborateur ; Jean-Marie Thomas (1944-....), Collaborateur ; A. Buttigieg, Traducteur Editeur : Cambridge [Cambridgeshire - Royaume-Uni] : Cambridge University Press Année de publication : 1989 Collection : Cambridge texts in applied mathematics Importance : XIV-436 p. Présentation : ill. Format : 24 cm ISBN/ISSN/EAN : 978-0-521-32788-6 Note générale : Bibliogr. p. 411-421. Index Langues : Anglais (eng) Langues originales : Français (fre) Catégories : Algèbre linéaire ; Calculs numériques -- Optimisation mathématique ; Équations -- Solutions mathématiques Index. décimale : 518 Résumé : The purpose of this book is to give a thorough introduction to the most commonly used methods of numerical linear algebra and optimisation. The prerequisites are some familiarity with the basic properties of matrices, finite-dimensional vector spaces, advanced calculus, and some elementary notations from functional analysis. The book is in two parts. The first deals with numerical linear algebra (review of matrix theory, direct and iterative methods for solving linear systems, calculation of eigenvalues and eigenvectors) and the second, optimisation (general algorithms, linear and nonlinear programming). The author has based the book on courses taught for advanced undergraduate and beginning graduate students and the result is a well-organised and lucid exposition. Summaries of basic mathematics are provided, proofs of theorems are complete yet kept as simple as possible, and applications from physics and mechanics are discussed. Professor Ciarlet has also helpfully provided over 40 line diagrams, a great many applications, and a useful guide to further reading. This excellent textbook, which is translated and revised from the very successful French edition, will be of great value Introduction to numerical linear algebra and optimization [texte imprimé] / Philippe Gaston Ciarlet (1938-....), Auteur ; Bernadette Miara, Collaborateur ; Jean-Marie Thomas (1944-....), Collaborateur ; A. Buttigieg, Traducteur . - Cambridge [Cambridgeshire - Royaume-Uni] (Cambridge [Cambridgeshire - Royaume-Uni]) : Cambridge University Press, 1989 . - XIV-436 p. : ill. ; 24 cm. - (Cambridge texts in applied mathematics) . ISBN : 978-0-521-32788-6 Bibliogr. p. 411-421. Index Langues : Anglais (eng) Langues originales : Français (fre) Catégories : Algèbre linéaire ; Calculs numériques -- Optimisation mathématique ; Équations -- Solutions mathématiques Index. décimale : 518 Résumé : The purpose of this book is to give a thorough introduction to the most commonly used methods of numerical linear algebra and optimisation. The prerequisites are some familiarity with the basic properties of matrices, finite-dimensional vector spaces, advanced calculus, and some elementary notations from functional analysis. The book is in two parts. The first deals with numerical linear algebra (review of matrix theory, direct and iterative methods for solving linear systems, calculation of eigenvalues and eigenvectors) and the second, optimisation (general algorithms, linear and nonlinear programming). The author has based the book on courses taught for advanced undergraduate and beginning graduate students and the result is a well-organised and lucid exposition. Summaries of basic mathematics are provided, proofs of theorems are complete yet kept as simple as possible, and applications from physics and mechanics are discussed. Professor Ciarlet has also helpfully provided over 40 line diagrams, a great many applications, and a useful guide to further reading. This excellent textbook, which is translated and revised from the very successful French edition, will be of great value

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