We analyze a heuristic numerical method suggested by V.I. Petviashvili in 1976 for approximation of stationary solutions of nonlinear wave equations. The method is used to construct numerically the ...

By making use of tools from convex analysis, we formulate an inexact Newton-Landweber iteration method for solving nonlinear inverse problems in Banach spaces. The method consists of two components: ...

Matrix splitting iteration methods have emerged as potent tools in addressing complementarity problems, which frequently arise in optimisation, economics and engineering applications.