How to Compute the Partial Indices of a Regular and Smooth Matrix-Valued Function?

Bernd Silbermann ()
Additional contact information
Bernd Silbermann: University of Technology Chemnitz, Faculty of Mathematics

A chapter in Factorization, Singular Operators and Related Problems, 2003, pp 291-300 from Springer

Abstract: Abstract This paper is aimed at the stable computation of the partial indices of regular and smooth matrix functions defined on the complex unit circle under special emphasis on the speed of convergence. A crucial role plays the k-splitting property of appropriately constructed block matrices, namely modified finite sections A n of Toeplitz operators. It is proved that the singular values s k (A n ) tend with high speed to zero as n → ∞ for smooth regular functions where k stands for the splitting number.

Keywords: partial indices; Toeplitz operators; singular values. (search for similar items in EconPapers)
Date: 2003
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-0227-0_19

Ordering information: This item can be ordered from
http://www.springer.com/9789401702270

DOI: 10.1007/978-94-017-0227-0_19

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().