[BOOK][B] Iterative methods for fixed point problems in Hilbert spaces

A Cegielski - 2012 - books.google.com
Iterative methods for finding fixed points of non-expansive operators in Hilbert spaces have
been described in many publications. In this monograph we try to present the methods in a …

[BOOK][B] Alternating projection methods

R Escalante, M Raydan - 2011 - SIAM
Due to their utility and broad applicability in many areas of applied mathematics and
physical science (eg, computerized tomography, Navier–Stokes equations, pattern …

Set intersection problems: supporting hyperplanes and quadratic programming

CHJ Pang - Mathematical Programming, 2015 - Springer
We study how the supporting hyperplanes produced by the projection process can
complement the method of alternating projections and its variants for the convex set …

Incomplete projection algorithms for solving the convex feasibility problem

UM García-Palomares, FJ González-Castaño - Numerical Algorithms, 1998 - Springer
We present a general scheme for solving the convex feasibility problem and prove its
convergence under mild conditions. Unlike previous schemes no exact projections are …

Projection Methods

A Cegielski, A Cegielski - Iterative Methods for Fixed Point Problems in …, 2013 - Springer
In Chap. 5 we present iterative methods for solving several convex optimization problems in
a Hilbert space: the common fixed point problem, convex feasibility problem, split feasibility …

Nonconvex set intersection problems: From projection methods to the newton method for super-regular sets

CH Pang - arxiv preprint arxiv:1506.08246, 2015 - arxiv.org
The problem of finding a point in the intersection of closed sets can be solved by the method
of alternating projections and its variants. It was shown in earlier papers that for convex sets …

Projection support vector machine generators

FJ González-Castaño, UM García-Palomares… - Machine Learning, 2004 - Springer
Abstract Large-scale Support Vector Machine (SVM) classification is a very active research
line in data mining. In recent years, several efficient SVM generation algorithms based on …

Accelerating the convergence of the method of alternating projections via a line search: a brief survey

F Deutsch - Studies in Computational Mathematics, 2001 - Elsevier
Accelerating the Convergence of the Method of Alternating Projections Via a Line Search: a
Brief Survey - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

Fast image recovery using dynamic load balancing in parallel architectures, by means of incomplete projections

FJ González-Castaño… - IEEE transactions on …, 2001 - ieeexplore.ieee.org
This paper formulates an incomplete projection algorithm that is applied to the image
recovery problem. The algorithm allows an easy implementation of dynamic load balancing …

The exponential stability for a class of hybrid systems

ZE Lou, Y Gao - Asian Journal of Control, 2013 - Wiley Online Library
The exponential stability with a nonsmooth Lyapunov function for a class of hybrid systems
is studied in this paper. First, a sufficient condition is derived that has to be satisfied by the …