Localization of eigenvalues and estimation of the spread for complex matrices

J. Wu, D. Wang, J. Zhao

Chongqing University, China

Abstract: For a given complex matrix we describe new methods for localizing the eigenvalues and new upper bounds for the spread. These methods and upper bounds are sharper than those previously known.

Keywords: eigenvalues, localization, spread, upper bounds, new methods.

UDC: 512.64

MSC: 15A18, 65F15

Received: 26.07.2013
Revised: 12.02.2014

DOI: 10.4213/im8154

 English version: Izvestiya: Mathematics, 2015, 79:1, 208–215

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