A Note on the Factorization of Some Structured Matrix Functions

Ilya M. Spitkovsky; Anatoly F. Voronin

doi:10.1007/s00020-018-2468-0

A Note on the Factorization of Some Structured Matrix Functions

Ilya M. Spitkovsky, Anatoly F. Voronin

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Article number	39
Journal	Integral Equations and Operator Theory
Volume	90
Issue number	3
DOIs	https://doi.org/10.1007/s00020-018-2468-0
State	Published - 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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10.1007/s00020-018-2468-0

Cite this

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title = "A Note on the Factorization of Some Structured Matrix Functions",

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.",

keywords = "Canonical factorization, Hankel operator, Numerical range, Riemann–Hilbert problem, Schur complement",

author = "Spitkovsky, {Ilya M.} and Voronin, {Anatoly F.}",

note = "Publisher Copyright: {\textcopyright} 2018, Springer International Publishing AG, part of Springer Nature.",

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AU - Voronin, Anatoly F.

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KW - Canonical factorization

KW - Hankel operator

KW - Numerical range

KW - Riemann–Hilbert problem

KW - Schur complement

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A Note on the Factorization of Some Structured Matrix Functions

Abstract

Keywords

ASJC Scopus subject areas

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