Title :
An inequality concerning nonexpansive mappings
Author :
Sandberg, Irwin W.
Author_Institution :
Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA
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 :
iterative methods; nonlinear equations; nonlinear network analysis; signal processing; Hilbert space; inequality; nonexpansive mappings; nonlinear equations; Application software; Circuits and systems; Hilbert space; Nonlinear equations; Signal mapping; Signal processing; Sufficient conditions; Voltage;
Conference_Titel :
Circuits and Systems, 1994., Proceedings of the 37th Midwest Symposium on
Conference_Location :
Lafayette, LA
Print_ISBN :
0-7803-2428-5
DOI :
10.1109/MWSCAS.1994.519048
