摘要
利用矩阵的分块及矩阵的奇异值分解,探讨了矩阵及其扰动后的矩阵阶数不同时特征值的扰动界,得到了Hermite矩阵特征值的Wielandt-Hoffman-残差型扰动界。进一步将所得结果推广到可对称化矩阵,给出了可对称化矩阵特征值新的Wielandt-Hoffman-残差型扰动界,且所得结论推广了原有结果。
By using the partitioning of matrices and the singular value decomposition of matrices,the perturbation eigenvalues bounds of matrix and its disturbed matrix with different order were discussed.The Wielandt-Hoffman-residual type perturbation bounds for the eigenvalues of Hermite matrices were obtained.And the conclusion is further extended to the symmetrizable matrix.A new Wielandt-Hoffman-residual type perturbation bound for the symmetrizable matrix was given,and the conclusion obtained extends the original results.
作者
孔祥强
KONG Xiangqiang(School of Mathematics and Statistics, Heze University, Heze 274015,China)
出处
《贵州大学学报（自然科学版）》
2020年第3期6-9,共4页
Journal of Guizhou University:Natural Sciences
基金
山东省自然科学基金项目资助(ZR201709250116,ZR2017MA029)
菏泽学院科研基金科技计划项目资助(XY17KJ02)
菏泽学院大学数学课程混合式教学模式研究与实践项目资助(2018311)。
