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The stability of an Arnoldi Gram-Schmidt method for constructing orthonormal complex polynomials
- Publisher
- Springer Journals
- Copyright
- Copyright © 2011 by Heldermann Verlag
- Subject
- Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
- ISSN
- 1617-9447
- eISSN
- 2195-3724
- DOI
- 10.1007/BF03321873
- Publisher site
- See Article on Publisher Site
Abstract
Let G be a bounded Jordan domain in the complex plane with a piecewise analytic boundary. We present theoretical estimates and numerical evidence for certain phenomena, regarding the application of the Bergman kernel method with algebraic and pole singular basis functions, for approximating the conformal mapping of G onto the normalized disk. Thereby, we complete the task of providing full theoretical justification of this method.
Journal
Computational Methods and Function Theory – Springer Journals
Published: Apr 2, 2013