An Extremal Sparsity Property Of The Jordan Canonical Form

Posted on:2009-10-05

Degree:Master

Type:Thesis

Country:China

Candidate:P Pei

Full Text:PDF

GTID:2120360245473054

Subject:Computational Mathematics

Abstract/Summary:

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We prove that among all the matrices that are similar to a given square complex matrix, the Jordan canonical form has the largest number of off-diagonal zero entries. We also characterize those matrices that attain this largest number.

Keywords/Search Tags:

Jordan canonical form, similarity, sparsity, zero pattern

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