Convergence of Pade Approximants to the Negative Exponential on Unbounded Sets.

reportActive / Technical Report | Accession Number: ADA000393 | Need Help?

Abstract:

The properties of best rational approximations to e sup-x on the interval 0 or x infinity have important applications to numerical techniques for solving certain heat-conduction problems. In this paper, the rational functions Rm,nz known as Pade approximants to e sup -z are investigated from the point of view of error estimates and uniform convergence on 2-dimensional unbounded sets. Modified author abstract

Author(s):
Saff, E. B. ; Varga, R. S.
Author Organization(s):
UNIVERSITY OF SOUTH FLORIDA TAMPA DEPT OF MATHEMATICS
Descriptive Note:
Interim rept.,
Supplementary Note:
Prepared in cooperation with Kent State Univ., Ohio.
Pagination:
0027

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
AFOSR-TR-74-1608
Contract/Grant Number(s):
AF-AFOSR-2503-73, AT(11-1)-2075
Task Number(s):
974903
Project Number(s):
AF 9749
Monitor Series:
TR-74-1608
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*COMPLEX VARIABLES, *RATIONAL FUNCTIONS, APPROXIMATION(MATHEMATICS), POLYNOMIALS, EXPONENTIAL FUNCTIONS, CONDUCTION(HEAT TRANSFER), ANALYTIC FUNCTIONS, THEOREMS
Field(s)/Group(s):
Numerical Mathematics
Keyword(s):
*Pade approximants
Report Date:
1973 Oct 01