Minimal sets alternative to minimal Gersgorin sets

作者：Cvetkovic Lj^*; Pena J M

来源：Applied Numerical Mathematics, 2010, 60(4): 442-451.

DOI：10.1016/j.apnum.2009.09.005

• Eigenvalue localization
• Gersgorin theorem
• Minimal Gersgorin set

The concept of minimal Gersgorin set was introduced by Richard Varga (1965) in [10], and investigated in details in his book Gersgorin and his circles (2004), [12]. On the other hand, another type of localization of real eigenvalues, which can be considered as an alternative to well-known Gersgorin theorem, was introduced by Juan Manuel Pena (2001) in [7]. Here we are combining these two approaches, in order to get two alternative tools for getting some information about real eigenvalues, or real part of eigenvalues.

• 出版日期2010-4