Graduate Thesis Or Dissertation

 

A study of the global convergence properties of Newton's method Public Deposited

Downloadable Content

Download PDF
https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/765374246

Descriptions

Attribute NameValues
Creator
Abstract
  • A construct is developed which is useful in the investigation of the global convergence properties of Newton's method. This construct is used to study the application of Newton's method to polynomials. A proof that Newton's method converges almost globally for polynomials with only real zeroes is extended to a larger class of polynomials. A conjecture is advanced concerning conditions which are necessary and sufficient for almost global convergence for both real and complex polynomials. Another application of the construct involves the use of Bairstow's method on cubic polynomials having one real zero. The question of whether a certain fixed set is stable is resolved.
Resource Type
Date Available
Date Copyright
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Academic Affiliation
Non-Academic Affiliation
Subject
Rights Statement
Language
Digitization Specifications
  • File scanned at 300 ppi (Monochrome) using ScandAll PRO 1.8.1 on a Fi-6670 in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces
Additional Information
  • description.provenance : Submitted by Nitin Mohan (mohanni@onid.orst.edu) on 2010-08-10T20:45:10Z No. of bitstreams: 1 CelarierDonaldAllen1979.pdf: 147794 bytes, checksum: a392e2898981b6aa8e92fd4a39de1c00 (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2010-08-12T17:53:46Z (GMT) No. of bitstreams: 1 CelarierDonaldAllen1979.pdf: 147794 bytes, checksum: a392e2898981b6aa8e92fd4a39de1c00 (MD5)
  • description.provenance : Made available in DSpace on 2010-08-12T17:53:46Z (GMT). No. of bitstreams: 1 CelarierDonaldAllen1979.pdf: 147794 bytes, checksum: a392e2898981b6aa8e92fd4a39de1c00 (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2010-08-12T17:52:28Z (GMT) No. of bitstreams: 1 CelarierDonaldAllen1979.pdf: 147794 bytes, checksum: a392e2898981b6aa8e92fd4a39de1c00 (MD5)

Relationships

Parents:

This work has no parents.

Items