A concept of nonlinear block diagonal dominance |
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Institution: | The Research Centre for Applied Mathematics, Xi''an Jiaotong University, Xi''an 710049, China |
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Abstract: | We introduce a concept of block diagonal dominance for nonlinear functions, and discuss the relations to strictly diagonally dominant functions and M-functions. Some sufficient conditions for the new kind of functions are given. The global convergence of block asynchronous SOR-methods for finding zeros of block diagonal dominant nonlinear functions is proved. |
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