Accession Number:

AD0698801

Title:

FIXED POINTS OF ANALYTIC FUNCTIONS

Descriptive Note:

Technical rept.

Corporate Author:

STANFORD UNIV CA DEPT OF COMPUTER SCIENCE

Personal Author(s):

• Henrici, Peter

Report Date:

1969-07-01

Pagination or Media Count:

11.0

Abstract:

A continuous mapping of a simply connected, closed, bounded set of the Euclidean plane into itself is known to have at least one fixed point. It is shown that the usual condition for the fixed point to be unique, and for convergence of the iteration sequence to the fixed point, can be relaxed if the mapping is defined by an analytic function of a complex variable.

Descriptors:

• *ANALYTIC FUNCTIONS
• *NUMERICAL ANALYSIS
• CONVERGENCE
• ITERATIONS
• MAPPING(TRANSFORMATIONS)
• SEQUENCES(MATHEMATICS)
• THEOREMS

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE