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 matrices. Numerical examples are given to illustrate the corresponding results.

Abstract licence: CC BY-NC-ND

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