Graduate Thesis Or Dissertation
 

Isoconjunctivity of hermitian matrices

Public Deposited

Downloadable Content

Download PDF
https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/vt150p05t

Descriptions

Attribute NameValues
Creator
Abstract
  • In this thesis we define two nxn matrices T and S to be isoconjunctive if there exists an nxn nonsingular hermitian matrix H such that T = HSH. We then proceed to establish necessary and sufficient conditions that two nxn matrices T and S be isoconjunctive in the case where both T and S are hermitian. The results are obtained by decomposing the problem into two cases. In Chapter II we consider the case where TS is nonsingular. In Chapter III we first obtain a canonical form, under contragradient conjunctivity, for a pair of nxn hermitian matrices whose product is nilpotent. This result is used to obtain the conditions in the nilpotent case. In Chapter IV we draw together the results of Chapter II and Chapter III. Also in Chapter IV we give necessary and sufficient conditions on a pair of nxn hermitian matrices T and S that there exist a positive definite matrix H such that T = HSH.
Resource Type
Date Available
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Academic Affiliation
Non-Academic Affiliation
Subject
Rights Statement
Publisher
Peer Reviewed
Language
Digitization Specifications
  • File scanned at 300 ppi (Monochrome) using Capture Perfect 3.0.82 on a Canon DR-9080C in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces

Relationships

Parents:

This work has no parents.

In Collection:

Items