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The recursive quasi-orthogonal polynomial algorithm.
- 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]
- Subjects :
- POLYNOMIALS
ALGORITHMS
ORTHOGONAL polynomials
SCHUR complement
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 10171398
- Volume :
- 92
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Numerical Algorithms
- Publication Type :
- Academic Journal
- Accession number :
- 161208163
- Full Text :
- https://doi.org/10.1007/s11075-022-01369-w