Best approximation in inner product spaces
Author(s)
Bibliographic Information
Best approximation in inner product spaces
（CMS books in mathematics, 7）
Springer, c2001
Available at 27 libraries
Note
Includes bibliographical references (p. [315]-330) and index
Description and Table of Contents
Description
This is the first systematic study of best approximation theory in inner product spaces and, in particular, in Hilbert space. Geometric considerations play a prominent role in developing and understanding the theory. The only prerequisites for reading the book is some knowledge of advanced calculus and linear algebra.
Table of Contents
* Inner Product Spaces * Best Approximation * Existence and Uniqueness of Best Approximations * Characterization of Best Approximations * The Metric Projection * Bounded Linear Functionals and Best Approximation from Hyperplanes and Half-spaces * Error of Approximation * Generalized Solutions of Linear Equations * The Method of Alternating Projections * Constrained Interpolation from a Convex Set * Interpolation and Approximation * Convexity of Chebyshev Sets
by "Nielsen BookData"