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Shohat-Favard and Chebyshev's methods in d-orthogonality

Title
Shohat-Favard and Chebyshev's methods in d-orthogonality
Type
Article in International Scientific Journal
Year
1999
Authors
da Rocha, Z
(Author)
FCUP
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Journal
Title: Numerical AlgorithmsImported from Authenticus Search for Journal Publications
Vol. 20
Pages: 139-164
ISSN: 1017-1398
Publisher: Springer Nature
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-001-62H
Abstract (EN): This paper is concerned with the Shohat-Favard, Chebyshev and Modified Chebyshev methods for d-orthogonal polynomial sequences (d is an element of N). Shohat-Favard's method is presented from the concept of dual sequence of a sequence of polynomials. We deduce the recurrence relations for the Chebyshev and the Modified Chebyshev methods for every d is an element of N. The three methods are implemented in the Mathematica programming language. We show several formal and numerical tests realized with the software developed.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 26
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