Max-norm bounds for the inverse of S-Nekrasov matrices

摘要

Max norm bounds of the inverse of an H-matrix appear in a wide range of applications. Motivated by this fact, we will start with some preliminary estimations already obtained for S-SDD matrices, and present new, applicable and practical bounds for a wider class of S-Nekrasov matrices. Then, we will comment how the scaling technique proves that new bounds improve the known ones for Nekrasov matrices. Finally, we will illustrate new results by numerical examples.