A new subclass of H-matrices
A new subclass of H-matrices
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DOI：
10.1016/j.amc.2008.11.037
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发表时间：
2009-02
期刊：
影响因子：
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通讯作者：
L. Cvetković;V. Kostić;Sonja Rauski
中科院分区：
文献类型：
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作者：
L. Cvetković;V. Kostić;Sonja Rauski
H-矩阵类在许多科学领域中起着重要的作用，例如在经济学中。然而，这个类可以用来在其他线性代数领域获得各种好处，如行列式估计，Perron根估计，特征值定位，松弛方法的收敛区域的改进等，因此，找到一个H-矩阵的子类似乎很重要，尽可能宽，并通过明确的条件表示，只涉及矩阵元素。本文将从Gudkov矩阵和S-SDD矩阵两方面出发，在这个方向上向前迈出一步。
Class of H-matrices plays an important role in various scientific disciplines, in economics, for example. However, this class could be used in order to get various benefits in other linear algebra fields, like determinant estimation, Perron root estimation, eigenvalue localization, improvement of convergence area of relaxation methods, etc. For that reason, it seems important to find a subclass of H-matrices, as wide as possible, and expressed by explicit conditions, involving matrix elements only. One step forward in this direction, starting from Gudkov matrices, from one side, and S-SDD matrices, from the other side, will be presented in this paper.