A New Upper Bound on the Infinity Norm of the Inverse of Nekrasov Matrices

Table 1

The upper bounds for ||𝐴_𝑖⁻¹||_∞, 𝑖=2,…,6.

Matrix	𝐴2	𝐴3	𝐴4	𝐴5	𝐴6
Exact ||𝐴^−1||∞	0.2390	0.8759	0.2707	1.1519	0.4474
Varah (4)	1	1.4286	0.5556	—	—
Cvetković et al. (5)	0.8848	1.8076	0.6200	1.4909	1.1557
Cvetković et al. (6)	0.6885	0.9676	0.7937	2.4848	0.5702
Kolotilina (7)	0.5365	0.9676	0.5556	1.4138	0.4928
Theorem 9	0.5365	0.9676	0.5038	1.4138	0.4928