AN ALGORITHM FOR ANALYTIC CONTINUATION

reportActive / Technical Report | Accession Number: AD0424388 | Open PDF

Abstract:

Let an analytic function f of a single complex variable be defined in a neighborhood of a point z sub 0 by means of its Taylor series at z sub 0. A constructive method is discussed for the solution of the following problem Suppose it is known that the function f can be continued analytically into a domain of the complex plane. It is desired to compute the value of f at an arbitrary point b in . By a constructive method or algorithm for solving a problem in numerical analysis is meant a sequence of rational functions of the data of the problem which converge to the desired mathematical object.

Author(s):
Henrici, Peter
Author Organization(s):
BOEING SCIENTIFIC RESEARCH LABS SEATTLE WA
Supplementary Note:
DOI: 10.21236/AD0424388
Pagination:
0021

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release; Distribution Is Unlimited.

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
D1-82-0295, MN-320
Monitor Series:
XD
 Subject Terms
Joint Capability Areas:
JCA_5.3_Planning; JCA_5_Command and Control; JCA_5.3.1_Analyze Problem
Communities of Interest:
Air Platforms
Descriptor(s):
*COMPLEX VARIABLES, DIFFERENTIAL EQUATIONS, FUNCTIONS(MATHEMATICS), INEQUALITIES, MATRICES(MATHEMATICS), TAYLORS SERIES
Field(s)/Group(s):
Numerical Mathematics
Keyword(s):
analytic continuation
Report Date:
1963 Sep 01