| 计算Pascal矩阵谱半径和相应 |
| |
| 引用本文： | 汪祥,吴武华,廖川荣.计算Pascal矩阵谱半径和相应[J].南昌大学学报(理科版),2010,34(1). |
| |
| 作者姓名： | 汪祥 吴武华 廖川荣 |
| |
| 作者单位： | 南昌大学,数学系,江西,南昌,330031 |
| |
| 基金项目： | 江西省自然科学基金资助项目(2007GQS2063);;江西省教育厅青年科学基金资助项目(GJJ09450) |
| |
| 摘 要： | 研究Pascal矩阵谱半径及其对应特征向量的数值求解算法问题,利用幂法和Pascal矩阵的性质给出了一个有效的迭代求解算法,该算法每一步迭代只用到浮点数的加法运算。同时数值实验显示,该算法具有较高的精度和较快的收敛速度。
|
| 关 键 词： | Pascal矩阵 谱半径 特征值 特征向量 |
A Fast Algorithm for Computing the Spectral Radius and the Correspondent Eigenvector of the Pascal Matrices |
| |
| WANG Xiang,WU Wu-hua,LIAO Chuan-rong.A Fast Algorithm for Computing the Spectral Radius and the Correspondent Eigenvector of the Pascal Matrices[J].Journal of Nanchang University(Natural Science),2010,34(1). |
| |
| Authors: | WANG Xiang WU Wu-hua LIAO Chuan-rong |
| |
| Affiliation: | Department of Mathematics/a>;Nanchang University/a>;Nanchang 330031/a>;China |
| |
| Abstract: | The problem for computing the spectral radius and its correspondent eigenvector has been considered.An efficient fast algorithm has bee presented,by using the power method and the algebraic properties of Pascal matrices.The new algorithm needs only additions without multiplication at each iteration step.The numerical experiments show that the accuracy and the convergent speed of the new algorithm are sound. |
| |
| Keywords: | Pascal matrices spectral radius eigenvalue eigenvector |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
