In this work,by applying the minimum residual technique to the block-diagonal and antiblock-diagonal splitting(BAS)iteration scheme,an iteration method named minimum residual BAS(MRBAS)is proposed to solve a two-by-tw...In this work,by applying the minimum residual technique to the block-diagonal and antiblock-diagonal splitting(BAS)iteration scheme,an iteration method named minimum residual BAS(MRBAS)is proposed to solve a two-by-two block system of nonlinear equations arising from the reformulation of the system of absolute value equations(AVEs).The theoretical analysis shows that the MRBAS iteration method is convergent under suitable conditions.Numerical results demonstrate the feasibility and the effectiveness of the MRBAS iteration method.展开更多
基金National Natural Science Foundation of China[Grant no.12161030]the Natural Science Foundation of Hainan Province China[Grant nos.523MS039,121MS030].
文摘In this work,by applying the minimum residual technique to the block-diagonal and antiblock-diagonal splitting(BAS)iteration scheme,an iteration method named minimum residual BAS(MRBAS)is proposed to solve a two-by-two block system of nonlinear equations arising from the reformulation of the system of absolute value equations(AVEs).The theoretical analysis shows that the MRBAS iteration method is convergent under suitable conditions.Numerical results demonstrate the feasibility and the effectiveness of the MRBAS iteration method.
