A Note on the Factorization of Some Structured Matrix Functions

Ilya M. Spitkovsky, Anatoly F. Voronin

Research output: Contribution to journalArticlepeer-review

Abstract

Let G be a block matrix function with one diagonal block A being positive definite and the off diagonal blocks complex conjugates of each other. Conditions are obtained for G to be factorable (in particular, with zero partial indices) in terms of the Schur complement of A.

Original languageEnglish (US)
Article number39
JournalIntegral Equations and Operator Theory
Volume90
Issue number3
DOIs
StatePublished - Jun 1 2018

Keywords

  • Canonical factorization
  • Hankel operator
  • Numerical range
  • Riemann–Hilbert problem
  • Schur complement

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

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