| PC－映照的Jacobi矩阵的快速求逆法及其应用 |
| |
| 引用本文： | 叶贻才.PC－映照的Jacobi矩阵的快速求逆法及其应用[J].福建师范大学学报(自然科学版),1994(1). |
| |
| 作者姓名： | 叶贻才 |
| |
| 摘 要： | 本文提出与多项式系数有关，从ＤＲＮ的ＰＣ－映照的Ｊａｃｏｂｉ矩阵的一种快速求逆法──逐步线性推算法，估计了它的计算工作量；进一步地，应用它导出了求算多项式全部近似复零点的一种显式迭代。最后给出若干数值试验结果。
|
| 关 键 词： | PC－映照，Jacobi行列式，Jacobi逆矩阵，逐步线性推算法，多项式，复零点，显式迭代 |
A Fast Algorithm for Finding the Inverse of Jacobian Matrix on PC-mapping and Its Application |
| |
| Ye Yicai.A Fast Algorithm for Finding the Inverse of Jacobian Matrix on PC-mapping and Its Application[J].Journal of Fujian Teachers University(Natural Science),1994(1). |
| |
| Authors: | Ye Yicai |
| |
| Institution: | Department of Mathematics |
| |
| Abstract: | This paper proposes a fast algorithm-stepwise linear recurrence(SLR) process to compute the inverse of Jacobian matrix for PC-mapping which is a function connected with a given polynomial coefficients mapping from DRN into RN,and estimates its arithmetic requirements.Further,develops an explicit iteration to find the approximate quadratic factors corresponing to all complex zeros of the polynomial.Moreover,some numerical results are also given. |
| |
| Keywords: | PC-mapping Jacobian determinant inverse of Jacobian matrix SLR process polynomial complex zeros explicit iteration |
| 本文献已被 CNKI 等数据库收录！ |
