New Classes of Nonsingular Matrices and Upper Bounds for their Inverses

被引：2
|
作者：
Kolotilina L.Y. [1 ]
机构：
[1] St.Petersburg Department of Steklov Mathematical Institute, St.Petersburg
来源：
Journal of Mathematical Sciences | 2020年 / 249卷 / 2期
关键词：
D O I：
10.1007/s10958-020-04937-4
中图分类号：
学科分类号：
摘要：
The paper introduces new classes of nonsingular matrices, which contain some known subclasses of the class of nonsingular H-matrices, such as the Nekrasov, Q-Nekrasov, {P1, P2}-Nekrasov, and DZ matrices. For matrices in the classes introduced, upper bounds for ‖A−1‖∞ are derived (in a unified manner) and shown to improve the known bounds for matrices from the corresponding subclasses of the nonsingular H-matrices. Bibliography: 20 titles. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：231 / 241
页数：10
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