Accession Number : AD0728581

Title :   An Implemented Transformational Scheme for Monic Polynomials with Integer Coefficients.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : Lutz,Robert Edward , Jr

Report Date : JUN 1971

Pagination or Media Count : 82

Abstract : A discussion of the problem of the irreducibility of polynomials in the ring of integral polynomials establishes the framework of the research. A transformational scheme is postulated to facilitate investigation of the problem. The coherency of the scheme is detailed and the necessary computational techniques developed. To determine the efficacy of the transformational scheme, the specification and collection of appropriate sets of data are discussed. The transformational scheme is then applied to the data and the results are tabulated and discussed. The conclusion is drawn that a transformational scheme is a useful tool for the investigation of the irreducibility of this type of polynomial. Some hypotheses as to the refinement and extension of the technique are stated. (Author)

Descriptors :   (*POLYNOMIALS, TRANSFORMATIONS(MATHEMATICS)), (*COMPUTER PROGRAMS, INSTRUCTION MANUALS), RINGS(MATHEMATICS), ALGORITHMS, THESES

Subject Categories : Theoretical Mathematics
      Computer Programming and Software

Distribution Statement : APPROVED FOR PUBLIC RELEASE