Algorithm 918: specdicho: A MATLAB Program for the Spectral Dichotomy of Regular Matrix Pencils. Given a regular matrix pencil λB -- A and a positively oriented contour γ in the complex plane, the spectral dichotomy methods applied to λB -- A and γ consist in determining whether λB -- A possesses eigenvalues on or in a neighborhood of γ. When no such eigenvalues exist, these methods compute iteratively the spectral projector P onto the right deflating subspace of λB -- A associated with the eigenvalues inside/outside γ. The computation of the projector is accompanied by the spectral norm ||H|| of a Hermitian positive definite matrix H called the dichotomy condition number, which indicates the numerical quality of the spectral projector P. The smaller ||H|| is, the better this quality. This article presents a MATLAB program (specdicho) implementing the main types of spectral dichotomy where γ is a circle, an ellipse, the imaginary axis or a parabola.

This software is also peer reviewed by journal TOMS.

Keywords for this software

Anything in here will be replaced on browsers that support the canvas element

References in zbMATH (referenced in 1 article )

Showing result 1 of 1.
Sorted by year (citations)

  1. Sadkane, Miloud; Sidje, Roger B.: Efficient computation of the spectral projections of regular matrix pairs (2016)