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The recursive quasi-orthogonal polynomial algorithm.

Authors :
Sidki, S.
Sadaka, R.
Source :
Numerical Algorithms. Jan2023, Vol. 92 Issue 1, p945-971. 27p.
Publication Year :
2023

Abstract

Theory of quasi-orthogonal polynomials is significantly related to constructing vector Padé approximations. The present paper introduces an efficient procedure to compute adjacent families of quasi-orthogonal polynomials as defined in Sadaka (Appl. Numer. Math. 21:57–70, 1996) and Sadaka (Appl. Numer. Math. 24:483–499, 1997). The derived algorithm uses short recursive relations whose coefficients are written in terms of lower triangular block determinants. The strategy of computing such determinants is given and analyzed. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10171398
Volume :
92
Issue :
1
Database :
Academic Search Index
Journal :
Numerical Algorithms
Publication Type :
Academic Journal
Accession number :
161208163
Full Text :
https://doi.org/10.1007/s11075-022-01369-w