...tial equation : 非线性微分方程 non-homogeneous linear equation : 非齐次线性方程 strictly linear equation : 严格线性方程 ..
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在双严格占优矩阵条件下，给出了相容矩阵范数的一个上界，并以此为基础，得到了线性方程组求解时的AOR迭代法的误差估计式。
A upper bound with consistent matrix norm and the estimate for error of AOR iterative method for solving linear equation system, which based on the doubly diagonal dominance, are presented.
基于并行计算的分治思想，对于严格块对角占优的块三对角线性方程组提出一个可扩展的块重叠分割并行近似求解方法（PBOA方法）。
A high efficiency scalable parallel algorithm, parallel block overlapped partition approximate(PBOA) algorithm, is proposed for solving block tri-diagonal linear systems on multiple computers.
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