
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 AD427 882 and AD428 090). (Author)
Descriptors : (*EQUATIONS, POLYNOMIALS), NUMERICAL ANALYSIS
Distribution Statement : APPROVED FOR PUBLIC RELEASE