Euclidean norm estimates of the inverse of some special block matrices

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• 作者：Ljiljana Cvetković ; ^a ; ^{lila@dmi.uns.ac.rs" class="auth_mail" title="E-mail the corresponding author} ; ^{lilac@sbb.rs" class="auth_mail" title="E-mail the corresponding author} ; Vladimir Kostić^a ; ^{vkostic@dmi.uns.ac.rs" class="auth_mail" title="E-mail the corresponding author} ; Ksenija Doroslovački^b ; ^{ksena4787@yahoo.com" class="auth_mail" title="E-mail the corresponding author} ; Dragana Lj. Cvetković^b ; ^{mawameda@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Block matrices ; Euclidean matrix norm ; Inverse matrix
• 刊名：Applied Mathematics and Computation
• 出版年：2016
• 出版时间：5 July 2016
• 年：2016
• 卷：284
• 期：Complete
• 页码：12-23
• 全文大小：421 K

文摘

In this paper we start from the known lower bounds for minimal singular value of the matrices possessing certain kind of the diagonal dominance property, and derive Euclidean norm estimates of the inverses of several new subclasses of the block H-matrices. The motivation comes from applications where the matrix in question has distinguished block structure, which can be exploited to obtain useful information. An example arising from ecological modeling illustrates the benefits of the presented approach.