Accession Number : AD0428084


Title :   THE SOLUTION OF ALGEBRAIC EQUATIONS BY ROOT FINDING TABLES PART I-INSTRUCTIONS,


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


Personal Author(s) : Haase,Kurt H


Report Date : Dec 1963


Pagination or Media Count : 79


Abstract : A technique is presented for factoring polynomial of odd degree as a product of one or three linear polynomial factors and a residue factor that is a polynomial of even degree. A polynomial of even degree is factorized as a product of two or four linear polynomial factors and a residue polynomial of even degree. The linear polynomial factors are recognized by scanning through a power table and improved to any desired degree of accuracy and eliminated by the Horner method. A residue polynomial or a polynomial of even degree with no recognizable linear polynomial factors is factorized in a number of quadratic polynomial factors equal to half the degree of the polynomial. The coefficients of the quadratic polynomial factors are recognized by scanning through a polynomial table and improved to any degree of accuracy by the Collatz method. A polynomial of Degree 4 is factorized according to a particular technique. (Author)


Descriptors :   *TABLES(DATA) , MATHEMATICAL ANALYSIS , POLYNOMIALS , EQUATIONS


Distribution Statement : APPROVED FOR PUBLIC RELEASE