Selšuk Journal of Applied Mathematics

 Selšuk Journal of
  Applied Mathematics

  Winter-Spring, 2001
  Volume  2
  Number 1

Research Center of 
  Applied Mathematics

 SJAM Winter-Spring 2001, Volume 2 - Number 1

A modification of the matrix sign function method

Gennadii Demidenko1*, Yuliya Klevtsova 2

1 Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia

 2 Novosibirsk State University, 630090 Novosibirsk, Russia

 Received: March 07, 2001

This paper is devoted to the dichotomy problem for the matrix spectrum with respect to the imaginary axis. We consider a method of constructing approximate projections onto invariant subspaces of matrices. The method is a modification of the matrix sign function method. We prove also a theorem on a perturbation for the matrix spectrum.

Key words
matrix sign function method, projections onto invariant subspaces, matrix spectrum dichotomy, perturbation of the matrix spectrum

Mathematics Subject Classification (1991): 15A60, 65F15, 65F30, 65F35

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