regular splitting meaning in English
正则分裂
Examples
- By applying the theories of regular splitting and weak regular splitting of matrices to the two considered algorithms , we obtain the weighted max - norm bounds for iterations too
应用正则分解和弱正则分解理论，我们同样获得了该算法在加权范数意义下的几何收敛性。 - In the second part , a decomposition method for solving semidefmite quadratic programming with box constraints is proposed . a regular splitting of the hessian matrix of the problem is used in the algorithm . the convergence of the algorithm is proved under certain assumptions , the numerical results are also given
第二部分把解边界约束正定二次规划问题的正则分解算法推广到求解边界约束半正定二次规划问题，在理论证明的基础上还进行数值检验，结果说明算法是有效的。 - First , we consider an additive schwarz algorithm for the solution of ax 4 - f ( x ) 0 , x when coefficient a is an m - matrix and f ' ( x ) 0 . by applying the theory of weak regular splitting of matrices to the above considered algorithm , we obtain the weighted max - norrn bound for iterations . moreover , under the assumption that f ( x ) is concave , we establish monotone convergence of the considered algorithm
本文内容如下：首先，应用加性schwarz算法求解非线性互补问题，其中a是m阵，应用弱分解理论，我们获得了在加权范数意义下误差的几何收敛速度，在f ( x )是凹函数的假设下我们还获得了此算法的单调收敛性，同时我们给出此算法的一种修改算法，无需前面的假设，该算法具有单调收敛性。