The Caratheodory-Fejer Method for Real Rational Approximation,

reportActive / Technical Report | Accession Number: ADA110208 | Open PDF

Abstract:

A Caratheodory-Fejer method is presented for near-best real rational approximation on intervals, based on the eigenvalue or singular value analysis of a Hankel matrix of Chebyshev coefficients.

Author(s):
Trefethen, Lloyd N. ; Gutknecht, Martin H.
Author Organization(s):
STANFORD UNIV CA DEPT OF COMPUTER SCIENCE
Supplementary Note:
Prepared in cooperation with Eidgenoessische Technische Hochschule Zurich (Switzerland).
Pagination:
0025

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
STAN-NA-81-15
Contract/Grant Number(s):
N00014-75-C-1132
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control; JCA_5.3_Planning; JCA_1_Force Support; JCA_1.2_Force Preparation; JCA_1.2.3_Educating
Modernization Areas:
Directed Energy
Communities of Interest:
Air Platforms
Descriptor(s):
*APPROXIMATION(MATHEMATICS), *NUMBERS, *INTERVALS, MATRICES(MATHEMATICS), EIGENVALUES, COEFFICIENTS, CHEBYSHEV APPROXIMATIONS, FITTING FUNCTIONS(MATHEMATICS)
Field(s)/Group(s):
Theoretical Mathematics
Keyword(s):
Hankel matrices
Report Date:
1981 Oct 01