Accession Number : AD0738659

Title :   A Program for the Numerical Approximation of a Fixed Point of an Arbitrary Continuous Mapping of the N-Cube or N-Simplex into Itself,

Corporate Author : AEROSPACE RESEARCH LABS WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Allgower,Eugene L. ; Keller,Charles L. ; Reeves,Thomas E.

Report Date : NOV 1971

Pagination or Media Count : 57

Abstract : In the report a systematic search program is given for an approximate fixed point of a continuous mapping of either the unit n-cube or a 'preferred' n-simplex (on the unit n-cube) into itself. A detailed discussion of the fixed point algorithm and the coding of this algorithm is included in this report. A result concerning the estimate of the error is given and also three examples which illustrate the application of this routine. (Author)

Descriptors :   (*COMPUTER PROGRAMMING, MAPPING(TRANSFORMATIONS)), APPROXIMATION(MATHEMATICS), ALGORITHMS, SIMPLEX METHOD, THEOREMS

Subject Categories : Operations Research
      Computer Programming and Software

Distribution Statement : APPROVED FOR PUBLIC RELEASE