Title :
An inequality concerning nonexpansive mappings
Author :
Sandberg, Irwin W.
Author_Institution :
Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA
fDate :
4/1/1996 12:00:00 AM
Abstract :
In recent results concerning nonexpansive maps and the problem of iteratively solving nonlinear equations of the form Qx=y in a Hilbert space (application areas include networks and signal processing), a certain inequality plays a central role. Here we consider the case in which Q is continuously Frechet differentiable and we give criteria under which the inequality is satisfied
Keywords :
Hilbert spaces; iterative methods; nonlinear equations; Hilbert space; continuously Frechet differentiable; iterative solutions; mapping inequality; nonexpansive mappings; nonlinear equations; Delay; Equations; Kernel; Mathematical analysis; Nonlinear filters; Nonlinear systems; Parameter estimation;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
