On non-optimal spectral factorizations

Lasha Ephremidze, Ivan Selesnick, Ilya Spitkovsky

Research output: Contribution to journalArticlepeer-review


For a given Laurent polynomial matrix function S, which is positive definite on the unit circle in the complex plane, we consider all possible polynomial spectral factors of S which are not necessarily invertible inside the unit circle.

Original languageEnglish (US)
Pages (from-to)517-522
Number of pages6
JournalGeorgian Mathematical Journal
Issue number4
StatePublished - Dec 1 2017


  • Matrix spectral factorization

ASJC Scopus subject areas

  • Mathematics(all)

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