摘要
This paper presents a proper splitting iterative method for comparing the general restricted linear euqations Ax=b, x ∈T (where, b ∈AT, and T is an arbitrary but fixed subspace of C<sup>m</sup>) and the generalized in A<sub>T,S</sub> For the special case when b ∈AT and dim(T)=dim(AT), this splitting iterative methverse A<sub>T,S</sub> hod converges to A<sub>T,S</sub>b (the unique solution of the general restricted system Ax=bx ∈T).
This paper presents a proper splitting iterative method for computing the general restricted linear euqations(where A ∈C^(m×n), B∈AT, and T is an arbitrary but fixed subspace of C^n) and the generalized inverse A^(2)_(T,S). For the special case when b∈AT and dim(T) =dim(AT), this splitting iterative meth-hod converges to A^(2)_(T,S)b (the unique solution of the general restricted system Ax=bx∈T).
基金
This project is supported by Science and Technology Foundation of Shanghai Higher Eduction,Doctoral Program Foundation of Higher Education in China.National Nature Science Foundation of China and Youth Science Foundation of Universities in Shanghai.