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University of Illinois at Urbana-Champaign
Approximation of Generalized Schur Complements (Ladder Network)
Abstract
dc:descriptionThe 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.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Butler, Charles Allen
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8711776
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/71247