Best approximation in inner product spaces
著者
書誌事項
Best approximation in inner product spaces
(CMS books in mathematics, 7)
Springer, c2001
大学図書館所蔵 件 / 全27件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. [315]-330) and index
内容説明・目次
内容説明
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.
目次
* 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
「Nielsen BookData」 より