Bounds for the Inverses of Generalized Nekrasov Matrices
Bounds for the Inverses of Generalized Nekrasov Matrices
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DOI：
10.1007/s10958-015-2401-x
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发表时间：
2015-05
影响因子：
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通讯作者：
L. Y. Kolotilina
中科院分区：
文献类型：
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作者：
L. Y. Kolotilina
本文考虑了（非奇异）H-矩阵类的两个子类中矩阵的逆的无穷范数的上界，这两个子类都包含Nekrasov矩阵类。第一种是最近才提出的，它由所谓的S-Nekrasov矩阵组成。对于S-Nekrasov矩阵，改进了已知的界.第二子类由本文定义的所谓QN-（quasi-Nekrasov）矩阵组成。对于QN-矩阵，给出了其逆矩阵无穷范数的一个上界。结果表明，在应用Nekrasov矩阵的新的界限一般优于已知的。参考书目：15种。
The paper considers upper bounds for the infinity norm of the inverse for matrices in two subclasses of the class of (nonsingular) H-matrices, both of which contain the class of Nekrasov matrices. The first one has been introduced recently and consists of the so-calledS-Nekrasov matrices. ForS-Nekrasov matrices, the known bounds are improved. The second subclass consists of the socalled QN- (quasi-Nekrasov) matrices, which are defined in the present paper. For QN-matrices, an upper bound on the infinity norm of the inverses is established. It is shown that in application to Nekrasov matrices the new bounds are generally better than the known ones. Bibliography: 15 titles.