Solving systems of nonlinear equations by means of an accelerated successive orthogonal projections method

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In this paper we introduce an acceleration procedure for a block version of the generalization of Kaczmarz's method for nonlinear systems of equations. We prove a local linear convergence theorem. Some numerical experiments are presented, which show that the new method improves the nonlinear Kaczmarz's method without acceleration.

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论文评审过程:Received 7 August 1985, Available online 22 March 2002.

论文官网地址:https://doi.org/10.1016/0377-0427(86)90090-7