Accession Number : AD0787097

Title :   The Algebraic Theory of Matrix Polynomials.

Descriptive Note : Interim rept.,

Corporate Author : CARNEGIE-MELLON UNIV PITTSBURGH PA DEPT OF COMPUTER SCIENCE

Personal Author(s) : Dennis,J. E. , Jr. ; Traub,J. F. ; Weber,R. P.

Report Date : DEC 1973

Pagination or Media Count : 43

Abstract : A matrix S is a solvent of the matrix polynomial M(X) = (A sub 0)(X sup m)+...+A sub m if M(S) = O where A sub i, X, S are square matrices. In this paper the authors develop the algebraic theory of matrix polynomials and solvents. (Modified author abstract)

Descriptors :   *Matrices(Mathematics), *Polynomials, Interpolation, Division, Computations, Theorems

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE