科研之友
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摘要
The concept of strictly -diagonally dominant matrices is introduced. This concept is directly related to solving a system of equations. In the linear case, the strictly -diagonally dominant matrices contain the strictly diagonally dominant matrices. However, for systems of nonlinear equations, it is a challenge to present a better condition to make sure that the iteration algorithm used to solve them is convergent. A new class of nonlinear mappings and some properties are offered; moreover, the corresponding convergence theorems of the nonlinear Gauss-Seidel and Jacobi iterations are presented.
- 出版日期2008
- 单位电子科技大学
