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
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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
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