New matrix partial order based on spectrally orthogonal matrix decomposition

Alexander Guterman, Alicia Herrero, Néstor Thome

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

We investigate partial orders on the set of complex square matrices and introduce a new order relation based on spectrally orthogonal matrix decompositions. We also establish the relation of this concept with the known orders.

Original languageEnglish
Pages (from-to)362-374
Number of pages13
JournalLinear and Multilinear Algebra
Volume64
Issue number3
DOIs
StatePublished - 3 Mar 2016
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2015 Taylor & Francis.

Keywords

  • minus order
  • sharp order
  • spectrally orthogonal matrix decomposition
  • spectrum

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