| 对求解对称三对角矩阵特征值区间分半法的探讨 |
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| 引用本文： | 韦增欣,覃炜达,杨志梅. 对求解对称三对角矩阵特征值区间分半法的探讨[J]. 重庆理工大学学报(自然科学版), 2011, 0(1) |
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| 作者姓名： | 韦增欣 覃炜达 杨志梅 |
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| 作者单位： | 广西大学数学与信息科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10761001); 广西大学科研基金资助项目(XGL090035) |
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| 摘 要： | 研究了一种特殊的对称三对角矩阵,在其顺序主子阵的特征值不满足严格交织的条件下,证明了区间分半法仍适用于求解它的特征值。
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| 关 键 词： | 区间半分法 严格交织 变号数 特征多项式序列 |
Discussion about the Bisection of Solving Symmetric Tridiagonal Matrix Eigenvalue |
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| WEI Zeng-xin,QIN Wei-da,YANG Zhi-mei. Discussion about the Bisection of Solving Symmetric Tridiagonal Matrix Eigenvalue[J]. Journal of Chongqing University of Technology(Natural Science), 2011, 0(1) |
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| Authors: | WEI Zeng-xin QIN Wei-da YANG Zhi-mei |
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| Affiliation: | WEI Zeng-xin,QIN Wei-da,YANG Zhi-mei(College of Mathematics and Information Science,Guangxi University,Nanning 530004,China) |
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| Abstract: | In this paper,a special symmetric tridiagonal matrix is studied.Although the order of its matrix array master does not satisfy the strictly intertwined condition,it is proved that the bisection still can be used to solve its eigenvalues. |
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| Keywords: | bisection strictly intertwined variable numbers polynomial sequence of eigenvalues |
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