ON A SYSTEM OF EQUATIONS RELATED TO A POLYNOMIAL,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1963
- Accession Number
- AD0427883
Entities
People
- Kurt H. Haase
Organizations
- Air Force Cambridge Research Laboratories