Introduction to Numerical Linear Algebra and Optimisation
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Introduction to Numerical Linear Algebra and Optimisation by Philippe G. Ciarlet
Book DescriptionThe 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 to students of numerical analysis, applied mathematics and engineering.
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Book DetailsISBN: 9780521339841
(228mm x 152mm x 26mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 25-Aug-1989
Country of Publication: United Kingdom
Books By Author Philippe G. Ciarlet
Linear and Nonlinear Functional Analysis with Applications, Hardback (November 2013)
An impressive self-contained guide to linear and nonlinear functional analysis, with exercises and applications to PDEs, numerical analysis and optimisation.
Finite Element Method for Elliptic Problems, Paperback (April 2002)» View all books by Philippe G. Ciarlet
This is the only book available that fully analyzes the mathematical foundations of the finite element method.
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