A cone associated with the Lyapunov mapping

Graduate Thesis Or Dissertation

Public Deposited

Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/2f75rb30z

Descriptions

Attribute Name	Values
Creator	Lindberg, Charles Gordon
Abstract	In this paper we investigate the Lyapunov mapping P --> AP + PA * where A is a positive stable matrix and P is a hermitian matrix. In particular, for special positive stable A we characterize the image of the cone of positive definite matrices under this mapping. In Section V we give five conditions on an nXn hermitian matrix H and a general nXn positive stable matrix A. that are equivalent to the condition: H = AP + PA* for some positive definite (hermitian) P.
Resource Type	Masters Thesis
Date Available	2014-04-08T20:15:06+00:00
Date Issued	1967-08-31
Degree Level	Master's
Degree Name	Master of Science (M.S.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	1968
Advisor	Ballantine, C. S.
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Graduate School
Subject	Matrices
Rights Statement	Copyright Not Evaluated
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Digitization Specifications	File scanned at 300 ppi using Capture Perfect 3.0 on a Canon DR-9050C in PDF format. CVista PdfCompressor 5.0 was used for pdf compression and textual OCR.
Replaces	http://hdl.handle.net/1957/47155

Parents:

This work has no parents.

In Collection:

Thumbnail	Title	Date Uploaded	Visibility	Actions
	LindbergCharlesG1968_Redacted.pdf	2017-08-07	Public	Download