New Estimators Of Upper Bounds Of Infinity Norm For The Invers Of Nekrasov Matrices

The class of Nekrasov matrices is one of important subclasses of H-matrices, it has important applications in the numerical calculation, physical, electrical control theory and engineering mathematics and so on. In this thesis, we give some new estimators of the upper bounds of the infinity norm of its inverse of Nekrasov matrices. These estimators contain a parameter μ, then we prove that the results are better than theses in [L. Cvetkovic et al., Infinity norm bounds for the inverse of Nekrasov matrices, Applied Mathematics and Computation,219(2013),5020-5024] when the parameters μ is chosen appropriately. In addition, numerical examples are given to illustrate the results better than those in [L. Cvetkovic, V. Kostic, K. Doroslovacki, Max-norm bounds for the inverse of S-Nekrasov matrices, Applied Mathematics and Computation,218(2012)9498-9503].