The rate of convergence for the cyclic projections algorithm II: Norms of nonlinear operators
| Autor: | Frank Deutsch, Hein Hundal |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Mathematics(all)
Alternating projections General Mathematics Convex feasibility problem 010103 numerical & computational mathematics 01 natural sciences Cyclic projections POCS symbols.namesake Intersection Angle between subspaces Projections onto convex sets 0101 mathematics Norms of nonlinear operators Mathematics Numerical Analysis Applied Mathematics 010102 general mathematics Regular polygon Hilbert space Orthogonal projections Angle between convex sets Rate of convergence symbols Algorithm Nonlinear operators Analysis |
| Zdroj: | Journal of Approximation Theory. 142(1):56-82 |
| ISSN: | 0021-9045 |
| DOI: | 10.1016/j.jat.2006.02.006 |
| Popis: | The rate of convergence for the cyclic projections algorithm onto an intersection of finitely many closed convex sets in a Hilbert space is investigated. Recently we showed that this rate could be described in terms of the “angles” between the convex sets involved. Here we show that these angles may often be described in terms of the “norms” of certain nonlinear operators, and hence obtain an alternate way of computing this rate of convergence. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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