The multisplitting PSD (MPSD) method for systems of weakly nonlinear equations

Abstract

In this paper, we propose the parallel multisplitting PSD (MPSD) method for solving system of weakly nonlinear equations Ax + ф(x) = b. The global convergence theorem of the MPSD algorithm is established under the some conditions. Finally, the numerical examples are given, they show that our new algorithm is feasible and efficient.

Keywords:

• Multisplitting PSD (MPSD) method
• system of weakly nonlinear equation
• global convergence

Subject Classifications: AMS (MOS):

• 65F10
• 651120

C. R. Categories:

• G1.5
• G1.3