Accession Number : AD0430200


Title :   THREE-POINT HYPERBOLIC EXTRAPOLATION TO SOLVE EQUATIONS,


Corporate Author : RAND CORP SANTA MONICA CALIF


Personal Author(s) : Juncosa,M L


Report Date : Feb 1964


Pagination or Media Count : 17


Abstract : Three-point parabolic extrapolation to iteratively solve real or complex, algebraic or transcendental equations has been proposed by D. E. Muller and used frequently on automatic computers, particularly in determination of eigenvalues of matrices. It is suggested that three-point equilateral hyperbolic extrapolation enjoys the same reasons for adoptions as parabolic extrapolation, but has the added advantages that one avoids at each iteration a square root determination, a sign determination, and necessity of guarding against the possibility of being thrust into the complex domain when seeking real roots of real equations. It is also shown that the order of convergence is the same as that of parabolic extrapolation. (Author)


Descriptors :   *EQUATIONS , NUMERICAL ANALYSIS , DETERMINANTS(MATHEMATICS) , COMPUTER PROGRAMMING


Distribution Statement : APPROVED FOR PUBLIC RELEASE