Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)


On polynomial approximation in the complex plane with application to conformal mapping

Author: Lothar Reichel
Journal: Math. Comp. 44 (1985), 425-433
MSC: Primary 30E10; Secondary 30C30, 41A10
MathSciNet review: 777274
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We consider the selection of polynomial bases for polynomial approximation of analytic functions on bounded simply connected regions in the complex plane. While a monomial basis may be very ill-conditioned, we show that a basis of Lagrange polynomials with Fejér points as nodes is well-conditioned. Numerical examples, where we compute polynomial approximations of conformal mappings, conclude the paper.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 30E10, 30C30, 41A10

Retrieve articles in all journals with MSC: 30E10, 30C30, 41A10

Additional Information

PII: S 0025-5718(1985)0777274-0
Keywords: Polynomial approximation, polynomial basis, numerical condition, conformal mapping
Article copyright: © Copyright 1985 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia