Iowa State University Capstones, Theses and Retrospective Theses and Dissertations Dissertations 1964 Tridiagonalization of an arbitrary square matrix William Lee Waltmann Iowa State University Follow this and additional works at: https://lib.dr.iastate.edu/rtd Part of the Mathematics Commons Recommended Citation Waltmann, William Lee, "Tridiagonalization of an arbitrary square matrix " (1964). Retrospective Theses and Dissertations. 3829. https://lib.dr.iastate.edu/rtd/3829 This Dissertation is brought to you for free and open access by the Iowa State University Capstones, Theses and Dissertations at Iowa State University Digital Repository. It has been accepted for inclusion in Retrospective Theses and Dissertations by an authorized administrator of Iowa State University Digital Repository. For more information, please contact
[email protected]. This dissertation has been 65—3811 microfilmed exactly as received WALTMANN, William Lee, 1934- TRIDIAGONA.LIZATION OF AN ARBITRARY SQUARE MATRIX. Iowa State University of Science and Technology Ph.D., 1964 Mathematics University Microfilms, Inc., Ann Arbor, Michigan TRIDIAGONALIZATION OP AN ARBITRARY SQUARE MATRIX %lliam Lee Waltmann A Dissertation Submitted to the Graduate Faculty in Partial Fulfillment of The Requirements for the Degree of DOCTOR OF PHILOSOPHY Major Subject: Mathematics Approved: Signature was redacted for privacy. In Oharg Signature was redacted for privacy. Head of Major Department Signature was redacted for privacy. Dean of Gradua# College Iowa State University Of Science and Technology Ames, Iowa 1964 il TABLE OP CONTENTS Page I. INTRODUCTION 1 II. KNOW METHODS FOR THE MATRIX EIGENPROBLEM 4 III. KNOm METHODS FOR TRIDIAGONALIZATIOH 11 IV. T-ALGORITHM FOR TRIDIAGONALIZATION 26 V. OBSERVATIONS RELATED TO TRIDIAGONALIZATION 53 VI.