RATE OF CONVERGENCE OF SCHMIDT PAIRS AND RATIONAL FUNCTIONS CORRESPONDING TO BEST APPROXIMANTS OF TRUNCATED HANKEL-OPERATORS Academic Article

abstract

• The problem of approximating Hankel operators of infinite rank by finite-rank Hankel operators is considered. For efficiency, truncated infinite Hankel matrices n of are utilized. In this paper for any compact Hankel operator of the Wiener class, we derive the rate of l2-convergence of the Schmidt pairs of n to the corresponding Schmidt pairs of . For a certain subclass of Hankel operators of the Wiener class, we also obtain the rate of l1-convergence. In addition, an upper bound for the rate of uniform convergence of the rational symbols of best rank-k Hankel approximants of n to the corresponding rational symbol of the best rank-k Hankel approximant to as n is derived. 1992 Springer-Verlag New York Inc.

authors

• Ward, Joseph

published proceedings

• MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS

author list (cited authors)

• CHUI, C. K., XIN, L., & WARD, J. D.

citation count

• 5

complete list of authors

• CHUI, CK||XIN, L||WARD, JD

publication date

• March 1992

publisher

• Springer Nature  Publisher

published in

• Mathematics of Control, Signals, and Systems  Journal

keywords

• Hankel Norm
• Order Of Approximation
• Rational Approximation
• Wiener Class

Digital Object Identifier (DOI)

• 10.1007/BF01211976

start page

• 67

end page

• 79

volume

• 5

issue

• 1