解析関数の多項式因子を求める精度保証付き解法 [in Japanese] A Verified Method for Finding Polynomial Factors of Analytic Functions [in Japanese]
Access this Article
Search this Article
A problem of finding a validated polynomial factor of an analytic function is considered. A validated factorization method was presented by Sakurai and Sugiura in which the bounds of Taylor coefficients of the function was assumed to be available. In this paper, we use complex circular arithmetic to perform the calculation of validated bounds for the Taylor coefficients of a function. Numerical examples show the efficiency of the presented method.
- Transactions of the Japan Society for Industrial and Applied Mathematics
Transactions of the Japan Society for Industrial and Applied Mathematics 14(1), 59-73, 2004
The Japan Society for Industrial and Applied Mathematics