Improvements on the infinity norm bound for the inverse of Nekrasov matrices
arXiv:1408.518017 citationsh-index: 25
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Provides incremental improvements to theoretical bounds for a specific class of matrices, relevant to researchers in matrix analysis.
The paper improves bounds on the infinity norm of the inverse of Nekrasov matrices by introducing a parameter and optimizing it, yielding tighter bounds than previous work by Cvetkovic et al. (2013).
We focus on the estimating problem of the infinity norm of the inverse of Nekrasov matrices, give new bounds which involve a parameter, and then determine the optimal value of the parameter such that the new bounds are better than those in L. Cvetkovic et al. (2013). Numerical examples are given to illustrate the corresponding results.