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The Angle Between Subspaces of a Hilbert Space

- F. Deutsch
- Mathematics
- 1995

This is a mainly expository paper concerning two different definitions of the angle between a pair of subspaces of a Hilbert space, certain basic results which hold for these angles, and a few of the… Expand

A Dual Approach to Constrained Interpolationfrom a Convex Subset of Hilbert Space

- F. Deutsch, Wu Li, J. Ward
- Mathematics
- 1 September 1997

Many interesting and important problems of best approximationare included in (or can be reduced to) one of the followingtype: in a Hilbert spaceX, find the best approximationPK(x) to anyx?Xfrom the… Expand

Continuous Selections and Approximate Selection for Set-Valued Mappings and Applications to Metric Projections

- F. Deutsch, P. Kenderov
- Mathematics
- 1983

Two new continuity properties for set-valued mappings are defined which are weaker than lower semicontinuity. One of these properties characterizes when approximate selections exist. A few selection… Expand

Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings

- F. Deutsch, I. Yamada
- Mathematics
- 1998

Let T i (i = 1,2,...,N) be nonexpansive mappings on a Hilbert space H, and let ⊖: H → R∪{∞} be a function which has a uniformly strongly positive and uniformly bounded second (Frechet) derivative… Expand

Best approximation in inner product spaces

- F. Deutsch
- Mathematics
- 2001

Inner Product Spaces.- Best Approximation.- Existence and Uniqueness of Best Approximations.- Characterization of Best Approximations.- The Metric Projection.- Bounded Linear Functionals and Best… Expand

The Method of Alternating Orthogonal Projections

- F. Deutsch
- Physics
- 1992

The method of alternating orthogonal projections is discussed, and some of its many and diverse applications are described.

The rate of convergence of dykstra's cyclic projections algorithm: The polyhedral case

- F. Deutsch, Hein Hundal
- Mathematics
- 1994

Suppose K is the intersection of a finite number of closed half-spaces in a Hilbert space X. Starting with any point xeX, it is shown that the sequence of iterates {x n } generated by Dykstra's… Expand

Accelerating the convergence of the method of alternating projections

- Heinz H. Bauschke, F. Deutsch, Hein Hundal, Sung-Ho Park
- Mathematics, Computer Science
- 29 May 2003

The powerful von Neumann-Halperin method of alternating projections (MAP) is an algorithm for determining the best approximation to any given point in a Hilbert space from the intersection of a… Expand

The Rate of Convergence for the Method of Alternating Projections, II

- F. Deutsch, Hein Hundal
- Mathematics
- 15 January 1997

Abstract The purpose of the paper is threefold: (1) To develop a useful error bound for the method of alternating projections which is relatively easy to compute and remember; (2) To exhibit a… Expand

Constrained best approximation in Hilbert space

- C. Chui, F. Deutsch, J. Ward
- Mathematics, Computer Science
- 1 March 1990

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