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Nonnormality and Jordan Condition Numbers of Matrices

Journal of the ACMPublished 1 October 1969Open access
Georghios Loizou
Citations12
SJR quartileQ1
SJR score2.25
SNIP3.16
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TL;DR

A lower bound for the departure from normality of an X X A matrix is given and various inequalities are obtained for certain condition numbers associated with the reduction of A to its Jordan canonical form.

Abstract

A lower bound for the departure from normality of an n X n matrix A is given. Furthermore, various inequalities are obtained for certain condition numbers associated with the reduction of A to its Jordan canonical form.

Keywords

Computer ScienceEngineeringPhysics and Astronomy