期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 178, 期 1-2, 页码 215-234出版社
ELSEVIER
DOI: 10.1016/j.cam.2004.03.029
关键词
orthogonal polynomials; recurrence relations; Matlab
A suite of Matlab programs has been developed as part of the book Orthogonal Polynomials: Computation and Approximation Oxford University Press, Oxford, 2004, by Gautschi. The package contains routines for generating orthogonal polynomials as well as routines dealing with applications. In this paper, a brief review of the first part of the package is given, dealing with procedures for generating the three-term recurrence relation for orthogonal polynomials and more general recurrence relations for Sobolev orthogonal polynomials. Moment-based methods and discretization methods, and their implementation in Matlab, are among the principal topics discussed. (c) 2004 Elsevier B.V. All rights reserved.
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