Accession Number : AD0675790

Title :   ON NEWTON-LIKE METHODS.

Descriptive Note : Technical rept.,

Corporate Author : WISCONSIN UNIV MADISON DEPT OF COMPUTER SCIENCES

Personal Author(s) : Daniel,James W.

Report Date : MAY 1968

Pagination or Media Count : 10

Abstract : The paper studies the convergence of Newton-like algorithms for the solution of nonlinear operator equations P(x) = 0 based on using a linear operator that is nearly a left inverse of the Frechet derivative P'(x) instead of the actual inverse or an approximate right inverse as has been treated elsewhere. The results are asymptotic in nature and do not give existence proofs or error estimates as are commonly seen. (Author)

Descriptors :   (*NONLINEAR DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS), (*FUNCTIONAL ANALYSIS, ITERATIONS), (*ITERATIONS, CONVERGENCE), CONVEX SETS, BANACH SPACE, MAPPING(TRANSFORMATIONS), ALGORITHMS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE