块广义对角占优矩阵与块矩阵迭代的收敛性Block Generalized Diagonally Dominant Matrices and Convergence of Iteration for Block Matrices
陈江河;
摘要(Abstract):
杨载朴讨论了广义对角占优矩阵特征值的一些性质,林鹏程、廖晓昕提供了分块矩阵迭代收敛性的若干判别准则。本文利用块卵形定理,对杨、林、廖的结果作了某些推广。
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基金项目(Foundation):
作者(Authors): 陈江河;
参考文献(References):
- [1] 杨载朴,数学研究与评论,4,21-24,(1985) .
- [2] 林鹏程,福州大学学报,1,175-182,(1980) .
- [3] 廖晓昕,高等学校计算数学学报,1,68-70,(1983) .
- [4] F.L. Bauer, J. Stoer and C. Witzgall, Numer. Math. 3, 257-264, (1961) .
- [5] D.G. Feingold and R. S. Varga, Pacific J. Math. 4, 1241-1250, (1962) .
- [6] A. Berman and R. J. Plemmons, Nonnegative Matrices in the Mathematical Sciences, Academic Press, New York, London, 1979.