Accession Number : AD0427883

Title :   ON A SYSTEM OF EQUATIONS RELATED TO A POLYNOMIAL,

Corporate Author : AIR FORCE CAMBRIDGE RESEARCH LABS L G HANSCOM FIELD MASS

Personal Author(s) : Haase,Kurt H.

Report Date : NOV 1963

Pagination or Media Count : 9

Abstract : From a polynomial, a system of n+1 equations can be derived. The system was obtained for the polynomial orders n=4 and n=6. The results gave sufficient evidence that similar systems can be derived from a polynomial of any even order n. Proof is given that an indefinite number of equations are related with an even order polynomial. A certain pair of all these equations has the property that a pair of its solutions is identical with the coefficients in a factor of the polynomial. This fact is the key to a new technique of solving algebraic equations. The related pair of equations are described. (See also AD-427 882 and AD-428 090). (Author)

Descriptors :   (*EQUATIONS, POLYNOMIALS), NUMERICAL ANALYSIS

Distribution Statement : APPROVED FOR PUBLIC RELEASE