关于标量多项式 Weiner-Hopf 因子分解
On Wiener - Hopf factorization of scalar polynomial
AI总结：
本文提出基于索引和本质多项式概念的标量多项式Weiner-Hopf因子分解算法，利用有限Toeplitz矩阵计算，同时获得因子系数，并给出条件数和精度的上界估计。
摘要：
本文提出了一种基于索引和本质多项式概念的标量多项式Weiner-Hopf因子分解算法，该算法利用有限Toeplitz矩阵进行计算，允许同时获得两个因子的系数。讨论了该算法的计算方面，得到了所用Toeplitz矩阵的先验条件数估计，并建立了因子分解因子精度的上界。所有估计都是有效的。
英文摘要：
In the work we propose an algorithm for a Wiener -- Hopf factorization of scalar polynomials based on notions of indices and essential polynomials. The algorithm uses computations with finite Toeplitz matrices and permits to obtain coefficients of both factorization factors simultaneously. Computation aspects of the algorithm are considered. An a priory estimate for the condition number of the used Toeplitz matrices is obtained. Upper bounds for the accuracy of the factorization factors are established. All estimates are effective.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
