Minimal sets alternative to minimal Ger�gorin sets

• Autores: Lj. Cvetkovic', Juan Manuel Peña Fernández
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 60, Nº. 4, 2010, págs. 442-451
• Idioma: inglés
• DOI: 10.1016/j.apnum.2009.09.005
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• Resumen

  • The concept of minimal Ger�gorin set was introduced by Richard Varga (1965) in [10], and investigated in details in his book Ger�gorin 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 Ger�gorin theorem, was introduced by Juan Manuel Peña (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.