An improvement of the infinity norm bound for the inverse of $\{P_{1},P_{2}\}$-Nekrasov matrices

Yaqiang Wang, Lei Gao · Journal of Inequalities and Applications · 2019

A new upper bound for the infinity norm for the inverse of $\{P_{1},P _{2}\}$ -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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