- Tytuł:
- Matrices and orthogonal polynomials
- Autorzy:
-
López-Bonilla, J.
López-Vázquez, R.
Vidal-Beltrán, S. - Powiązania:
- https://bibliotekanauki.pl/articles/1177448.pdf
- Data publikacji:
- 2018
- Wydawca:
- Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
- Tematy:
-
Chebyshev
Hermite
Laguerre and Legendre polynomials
Lanczos algorithm
Leverrier-Takeno’s method
Three-member recurrence - Opis:
- The Lanczos algorithm of minimized iterations shows that a polynomial verifying a three-term recurrence relation can be written as the determinant of a tridiagonal matrix, here we exhibit examples of this property. Besides, for several orthogonal polynomials, Cohen proved that their roots are the proper values of symmetric tridiagonal matrices; here we give examples of this Cohen’s result for the Legendre, Laguerre, and Hermite polynomials, which are important in applications to numerical analysis and quantum mechanics.
- Źródło:
-
World Scientific News; 2018, 103; 234-241
2392-2192 - Pojawia się w:
- World Scientific News
- Dostawca treści:
- Biblioteka Nauki
Artykuł