Bounds for the 1-norm of the inverses of some triangular matrices

详细信息    查看全文

• 作者：Higidio Portillo Oquendo^a ; ^{higidio@ufpr.br" class="auth_mail" title="E-mail the corresponding author} ; Patricia Sá ; nez Pacheco^b ; ^{patricias@utfpr.edu.br" class="auth_mail" title="E-mail the corresponding author}
• 关键词：15A09 ; 39A10 ; 34K28 ; 47B35 ; 15A57
• 刊名：Linear Algebra and its Applications
• 出版年：2016
• 出版时间：15 April 2016
• 年：2016
• 卷：495
• 期：Complete
• 页码：163-173
• 全文大小：262 K

文摘

In this paper, we find bounds for the 1-norm of the inverses of triangular matrices whose columns may decrease to zero. These results complement those obtained by Berenhaut et al. in [1] where the columns cannot decrease to zero. Also, we extend the 1-norm estimates obtained for Toeplitz matrices, by Liu et al. in [5], to a non-Toeplitz class. Finally, we construct a class of matrices where the estimates obtained are the best.