An improvement of the infinity norm bound for the inverse of {P1,P2} $\{P_{1},P_{2}\}$-Nekrasov matrices
Abstract A new upper bound for the infinity norm for the inverse of {P1,P2} $\{P_{1},P _{2}\}$-Nekrasov matrices is given. It is proved that the upper bound is sharper than those in Cvetković et al. (Open Math. 13:96–105, 2015) and than well-known Varah’s bound for strictly diagonally dominant matri...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2019-06-01
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Series: | Journal of Inequalities and Applications |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13660-019-2134-3 |
Summary: | Abstract A new upper bound for the infinity norm for the inverse of {P1,P2} $\{P_{1},P _{2}\}$-Nekrasov matrices is given. It is proved that the upper bound is sharper than those in Cvetković et al. (Open Math. 13:96–105, 2015) and than well-known Varah’s bound for strictly diagonally dominant matrices. Numerical examples are given to illustrate the corresponding results. |
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ISSN: | 1029-242X |