| 关于一类二阶矩阵方程的敏度分析 |
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| 引用本文： | 刘新国,杨玉霞. 关于一类二阶矩阵方程的敏度分析[J]. 高等学校计算数学学报, 2004, 26(3): 193-202 |
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| 作者姓名： | 刘新国 杨玉霞 |
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| 作者单位： | 中国海洋大学数学系,青岛,266071;青岛理工大学数理系,青岛,266033 |
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| 基金项目： | 国家自然科学基金资助项目(19871043). |
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| 摘 要： | In this paper, the sensitivity of the solution for a class of quadratic matrix equation which arises in the analysis of structural systems and vibration problems is discussed. With Brouwer fixed piont theory, the perturbation of the quadratic matrix equation is analyzed and two computational perturbation bounds are derived. Then a Rice condition number of some kind of solutions is given using the analytic expansion method. Two examples are presented in the last part.
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| 关 键 词： | 矩阵方程 二阶矩 敏度分析 |
ON THE SENSITIVITY ANALYSIS OF A CLASS OF QUADRATIC MATRIX EQUATION |
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| Liu Xinguo. ON THE SENSITIVITY ANALYSIS OF A CLASS OF QUADRATIC MATRIX EQUATION[J]. Numerical Mathematics A Journal of Chinese Universities, 2004, 26(3): 193-202 |
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| Authors: | Liu Xinguo |
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| Abstract: | In this paper, the sensitivity of the solution for a class of quadratic matrix equation which arises in the analysis of structural systems and vibration problems is discussed. With Bromver fixed piont theory, the perturbation of the quadratic matrix equation is analyzed and two computational perturbation bounds are derived. Then a Rice condition number of some kind of solutions is givcn using the analytic expansion method. Two examples are presented in the last part. |
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| Keywords: | quadratic matrix equation perturbation condition nurnber. |
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