Much attention has been paid on the iteration solution for large scale and sparse systems of nonlinear equations whose Jacobian matrix is non-Hermitian positive definite during these years.Our goal in this paper is to combine the inexact Newton method with non-alternating preconditioned Hermitian and skewHermitian splitting(PHSS) iteration method,and to present a non-alternating Newton-PHSS(Newton-NPHSS) iteration method for solving systems of nonlinear equations.Local convergence theorem of the method is g...
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