Title of article :
The rate of convergence for the cyclic projections algorithm II: Norms of nonlinear operators Original Research Article
Author/Authors :
Frank Deutsch، نويسنده , , Hein Hundal، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2006
Pages :
27
From page :
56
To page :
82
Abstract :
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.
Keywords :
* Norms of nonlinear operators , * Projections onto convex sets , * Alternating projections , * Orthogonal projections , * POCS , * Angle between convex sets , * Angle between subspaces , * Convex feasibility problem , * Cyclic projections , * rate of convergence
Journal title :
Journal of Approximation Theory
Serial Year :
2006
Journal title :
Journal of Approximation Theory
Record number :
852438
Link To Document :
بازگشت