Open AccessAn iterative method for solution of nonlinear operator equation
Author(s) -
Nguyễn Bường
Publication year - 2016
Publication title -
journal of computer science and cybernetics (vietnam academy of science and technology)/journal of computer science and cybernetics
Language(s) - English
Resource type - Journals
eISSN - 2815-5939
pISSN - 1813-9663
DOI - 10.15625/1813-9663/13/1/7978
Subject(s) - hilbert space , mathematics , nonlinear system , operator (biology) , iterative method , integral equation , mathematical analysis , iterative and incremental development , mathematical optimization , computer science , physics , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , gene , software engineering
In the note, for finding a solution of nonlinear operator equation of Hammerstein’s type an iterative process in infinite-dimentional Hilbert space is shown, where a new iteration is constructed basing on two last steps. An example in the theory of nonlinear integral equations is given for illustration.