ON INITIAL ESTIMATES FOR COMPUTING A(1/P) BY NEWTON'S METHOD,
Abstract
In order to evaluate a(1/p) for a in the interval (0,1) by Newton's method, the standard practice for digital computer programs is to use the uniform initial estimate of 1. By using a piecewise linear approximation the computational effort can in the general case be considerably reduced. The convergence of Newton's method to a(1/p) is analyzed when the 'firstguess' is determined by the above approximation.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 31, 1958
- Accession Number
- AD0606590
Entities
People
- John I. Derr
Organizations
- RAND Corporation