Construction ofσ-orthogonal polynomials and gaussian quadrature formulas
✍ Scribed by Ying Guang Shi; Guoliang Xu
- Book ID
- 106335720
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 379 KB
- Volume
- 27
- Category
- Article
- ISSN
- 1019-7168
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Using the theory of s-orthogonality and reinterpreting it in terms of the standard orthogonal polynomials on the real line, we develop a method for constructing Gauss-Turfin-type quadrature formulae. The determination of nodes and weights is very stable. For finding all weights, our method uses an u
Stieltjes polynomials are orthogonal polynomials with respect to the sign changing weight function \(w P_{n}(\cdot, w)\), where \(P_{n}(\cdot, w)\) is the \(n\)th orthogonal polynomial with respect to w. Zeros of Stieltjes polynomials are nodes of Gauss-Kronrod quadrature formulae, which are basic f