Date of Award


Document Type


Degree Name

Master of Science (MS)

Legacy Department

Mathematical Science

First Advisor

W. F. Moss


Of the six or so eigenvalue assignment algorithms currently available, several have been claimed to be numerically stable. To date only one has a published proof of numerical stability. This paper examines the eigenvalue assignment algorithm proposed by Petkov, Christov, and Konstantinov. Moss and Cox have proven this algorithm to be numerically stable by performing a backward error analysis. A FORTRAN implementation of the algorithm is included.