Note on some upper bounds for the condition number
Guanghui Cheng · Journal of Mathematical Inequalities · 2014
In this letter, some lower bounds for the smallest singular value of the nonsingular matrix are established. In addition, we also proposed some upper bounds on the condition number of a matrix which are the better than the bound proposed by Guggenheimer et al. [College Math. J. 26(1) (1995) 2-5]. To illustrate our bounds, some examples are also given.