N-矩阵逆的无穷范数上界的新估计式

发布时间：2018-04-19 07:40

本文选题：N-矩阵 + H-矩阵　；参考：《云南大学》2015年硕士论文

【摘要】：N-矩阵是H-矩阵的重要子类之一,在数值计算、物理、电力控制理论和工程数学等许多方面都有着重要的应用.本文研究N-矩阵的逆矩阵的无穷范数的估计问题,给出了N-矩阵的逆矩阵的无穷范数的几个新的估计式,该估计式含有可调节参数μ.当选取适当的参数μ时,本文的结果优于[L.Cvetkovic et al. Infinity norm bounds for the inverse of Nekrasov matrices, Applied Mathematics and Computation,219(2013),5020-5024].的结果.此外,文中数值例子表明本文结果在某些情况下优于[L. Cvetkovic, V. Kostic, K. Doroslovacki, Max-norm bounds for the inverse of S-Nekrasov matrices, Applied Mathematics and Computation,218(2012)9498-9503]的结果.
[Abstract]:N- matrix is one of the important subclasses of H- matrix. It has important applications in many fields, such as numerical calculation, physics, power control theory and engineering mathematics.In this paper, we study the estimation of infinite norm of inverse matrix of N-matrix, and give some new estimators of infinite norm of inverse matrix of N-matrix, which contain adjustable parameter 渭.When the appropriate parameter 渭 is selected, the result of this paper is better than that of [L.Cvetkovic et al.].Infinity norm bounds for the inverse of Nekrasov matrices, Applied Mathematics and Computation n. 21919 / 2013 / 5020-5024].The results ofIn addition, numerical examples show that the results obtained in this paper are superior to those of [L. Cvetkovic, V. Kostick, K. Doroslovacki, Max-norm bounds for the inverse of S-Nekrasov matrices, Applied Mathematics and Computationo 218 / 201 9498-9503].
【学位授予单位】：云南大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：O151.21

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