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Ciarlet P. — Introduction to Numerical Linear Algebra and Optimisation (Cambridge Texts in Applied Mathematics)
Ciarlet P. — Introduction to Numerical Linear Algebra and Optimisation (Cambridge Texts in Applied Mathematics)



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Название: Introduction to Numerical Linear Algebra and Optimisation (Cambridge Texts in Applied Mathematics)

Автор: Ciarlet P.

Аннотация:

Based on courses taught to advanced undergraduate students, this book offers a broad introduction to the methods of numerical linear algebra and optimization. The prerequisites are familiarity with the basic properties of matrices, finite-dimensional vector spaces and advanced calculus, and some exposure to fundamental notions from functional analysis. The book is divided into two parts. The first part deals with numerical linear algebra (numerical analysis of matrices, direct and indirect methods for solving linear systems, calculation of eigenvalues and eigenvectors) and the second, optimizations (general algorithms, linear and nonlinear programming). Summaries of basic mathematics are provided, proof of theorems are complete yet kept as simple as possible, applications from physics and mechanics are discussed, a great many exercises are included, and there is a useful guide to further reading.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Указатель в процессе заполнения

ed2k: ed2k stats

Год издания: 1989

Количество страниц: 449

Добавлена в каталог: 20.05.2014

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Предметный указатель
Abel's theorem      41
Acceleration of convergence of iterative method      162
Affine constraint      278
Affine function      220
Alternating-direction method      181
Approximation of data (values)      115 119
Approximation, least squares      119
Approximation, method of successive      160 254 324
Approximation, variational method of      67 84 97 106 107 112 116 121 173 270 287
Approximation, variational method of, convergence of      99 104 109 Approximation variational linear
Arnoldi's method      199
Arrow — Hurwicz method      366
Ascoli's theorem      75
Back-substitution      126 135 153
Barycentric co-ordinates      109
Basis of a finite-dimensional vector space      2
Basis, associated with a vertex      384
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