LEFT VERSUS RIGHT CANONICAL WEINER-HOPF FACTORIZATION AND REALIZATION

Authors
GROENEWALD GJ PETERSEN MA ZUCKER Y
Citation
Gj. Groenewald et al., LEFT VERSUS RIGHT CANONICAL WEINER-HOPF FACTORIZATION AND REALIZATION, Integral equations and operator theory, 28(4), 1997, pp. 466-491
Citations number
11
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics
Journal title
Integral equations and operator theory → ACNP
ISSN journal
0378620X
Volume
28
Issue
4
Year of publication
1997
Pages
466 - 491
Database
ISI
SICI code
0378-620X(1997)28:4<466:LVRCWF>2.0.ZU;2-L
Abstract
For an arbitrary rational matrix function. not necessarily analytic at infinity, the existence of a right canonical Wiener-Hopf factorizatio n is characterized in terms of a left canonical Wiener-Hopf factorizat ion. Formulas for the factors in a right factorization are given in te rms of the formulas for the factors in a given left factorization. hll formulas are based on a special representation of a rational matrix f unction involving a quintet of matrices.