摘要
依不可约对称三对角矩阵特征值的隔离性质,构造出具有分段严格单调性的等价模型,证明在每一单调区间内有且仅有一个根,并采用具有二次收敛的Newton迭代法求解。最后,给出了算法及算例。
According to isolation property an unreduced symmetric tridiagonal matrix with eigenvalues, we give an equivalence model with subsection strict monotonically. And point out its have only a root in each monotony section. So we can solve it with Newton iterative arithmetic of square convergent. Finally, we give arithmetic and an example.
出处
《华北电力大学学报(自然科学版)》
CAS
北大核心
2000年第3期74-78,共5页
Journal of North China Electric Power University:Natural Science Edition
关键词
不可约对称三对角矩阵
特征值
Newton算法
unreduced symmetric tridiagonal matrix
eigenvalue
Newton iterative arithmetic