可向量计算的块预条件迭代算法

提出一种类似于PE算法的实用并行迭代算法(VPE),可以克服M^-1r^(s)向量或并行化处理的困难.这种算法格式简单明了,收敛速度快.并证明了当矩阵A是M-阵和H-阵时,该算法是收敛的。计算实例显示该算法很有效.     

矩阵复合型谱包含域的改进及应用

本文研究了矩阵的复合型谱包含域,给出了边界定理,得到了改进的复合型谱包含域,作为应用得到了非奇异H-矩阵的更精确的判别条件．     

非奇异H矩阵的实用充分条件

In this paper, several practical sufficient conditions for nonsinguular H-matrices are obtained by comparing the elements of a matrix. Advantage of results obtained is illustrated by a numerical example.     

On the Square Root of an H-matrix with Positive Diagonal Elements

This paper proves that for an H-matrix with positive diagonal elements there exists one and only one square root which is also an H-matrix with positive diagonal elements. An algorithm approaching the square root is proposed.     

非奇异H矩阵的判定

引进H矩阵、对角占优矩阵及α-对角占优矩阵的概念,然后给非奇异H矩阵的若干判定方法。     

Some new conditions for generalized H-matrices

By using a continuous transition method of a matrix and the estimate for spectral radius of a sub-matrix etc.,decision methods for a generalized H-matrix under positive definite matrix conditions are researched.Some new sufficient conditions for generalized H-matrices are obtained.When a block matrix degenerates a point matrix, these conditions namely become sufficient conditions of H-matrix.     

H-矩阵预条件Gauss-Seidel迭代法及其收敛性

提出了预条件矩阵I+Cα，并利用此矩阵讨论了H-矩阵方程组的预条件Gauss-Seidel迭代法的收敛性。一些谱半径的比较结果也被给出。     

非奇异H-矩阵的判定

运用矩阵分析方法,讨论了非奇异H-矩阵的判定问题,得到两个非奇异H-矩阵新的判定准则,并以数值例子说明判定方法的有效性.     

非奇异H-矩阵的判定准则(英文)

本文中,给出了非奇异H-矩阵的新判定条件,改进了近期的相关结果,并用数值例子说明了所得结果判定范围的更加广泛性。     

非奇H-矩阵的充分条件

非奇H矩阵是具有广泛实际背景的重要矩阵类,但实际判断一个矩阵是否为非奇H矩阵却是困难的.该文给出非奇H矩阵的两个实用且适用范围较广的充分条件. 数值例子说明了结果的优越性.