Analysis of the quasi-Laguerre method
β Scribed by Xiulin Zou
- Publisher
- Springer-Verlag
- Year
- 1999
- Tongue
- English
- Weight
- 203 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0029-599X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The construction of initial conditions that provide a guaranteed convergence of zerofinding methods has attracted a great deal of attention for many years. In this paper, we consider convergent properties of the Laguerre-like method of the fourth order for the simultaneous approximation of polynomia
## Abstract In this letter, an efficient multidomain pseudospectral method is implemented to solve leaky waveguides. The exterior subdomains with the evanescent and oscillatory mode shapes, the optical fields are, respectively, expanded by LaguerreβGauss functions and Legendre polynomials incorpora
In this note we show that Laguerre's method for finding the root of a polynomial when applied to the charecteristic polynomial of a matrix is the same as the method of traces for determining an eigenpair of that matrix.