Files in this item

FilesDescriptionFormat

application/pdf

application/pdf8711776.pdf (2MB)Restricted to U of Illinois
(no description provided)PDF

Description

Title:Approximation of Generalized Schur Complements (Ladder Network)
Author(s):Butler, Charles Allen
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:The Schur complement of a linear operator on a finite dimensional Hilbert space is discussed and six generalizations are presented. Conditions are established under which these generalizations are equivalent. The infinite dimensional case is then considered and counterexamples are given to show that not all the generalizations extend in a natural way. An approximating sequence is shown to exist for the Schur complement matrix equation. The sequences which work as approximating sequences are classified. Finally, an application to infinite ladder networks of operators is given.
Issue Date:1987
Type:Text
Description:78 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1987.
URI:http://hdl.handle.net/2142/71247
Other Identifier(s):(UMI)AAI8711776
Date Available in IDEALS:2014-12-16
Date Deposited:1987


This item appears in the following Collection(s)

Item Statistics