THE METHOD OF STEEPEST DESCENT AND AUTOMATIC SOLUTION OF POLYNOMIAL EQUATIONS.
Abstract
The Morse-Kuiper Theorem is a recent improvement of what is known in the literature as the Norse Lemma which pertains to conditions under which a transformation of variables will reduce certain functions to quadratic forms. In this report a simplified proof is presented. A new method for automatic solution of polynomial equations is found independent of the method of steepest descent. A method is derived for accelerating the convergence of the sequence of approximations. The conditions for the J-test, to aviod the zeroes of the derivative, are improved.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1967
- Accession Number
- AD0819800
Entities
People
- Alexander M. Ostrowski
Organizations
- University of Basel