ON J-UNITARY MATRIX POLYNOMIALS

Lasha Ephremidze, Aleksandre Saatashvili, Ilya M. Spitkovsky

Research output: Contribution to journalArticlepeer-review

Abstract

An efficient method for construction of J-unitary matrix polynomials is proposed, associated with companion matrix functions the last row of which is a polynomial in 1/t. The method relies on Wiener-Hopf factorization theory and stems from recently developed J-spectral factorization algorithm for certain Hermitian matrix functions.

Original languageEnglish (US)
JournalJournal of Mathematical Sciences
DOIs
StateAccepted/In press - 2022

Keywords

  • J-unitary matrices
  • Wiener-Hopf factorization

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

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