幂标度矩阵收敛的条件及其应用

Am. J. Comput. Math. Pub Date : 2011-06-30 DOI:10.4236/ajcm.2011.12007

Xuzhou Chen, R. Hartwig

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引用次数: 0

摘要

对于可逆对角矩阵D，研究了幂比例矩阵序列N N D A的收敛性。作为一种特殊情况，给出了NN D T (T为三角形)收敛的充分必要条件。这些条件既包括谱，也包括矩阵T的图。然后利用这些结果为子空间迭代的收敛性提供了一个新的证明。

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The Conditions for the Convergence of Power Scaled Matrices and Applications

For an invertible diagonal matrix D , the convergence of the power scaled matrix sequence N N D A  is investigated. As a special case, necessary and sufficient conditions are given for the convergence of NN D T  , where T is triangular. These conditions involve both the spectrum as well as the diagraph of the matrix T . The results are then used to privide a new proof for the convergence of subspace iteration.

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Am. J. Comput. Math.

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