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| 多项式矩阵的广义逆与多项式矩阵方程 | |
| 引用本文： | 郑应文.多项式矩阵的广义逆与多项式矩阵方程[J].福州大学学报(自然科学版),1985(2):35-43. |
| 作者姓名： | 郑应文 |
| 作者单位： | 福州大学自动化所 |
| 摘 要： | 本文引入多项式矩阵的广义逆，讨论了几种广义逆的性质，并以此为工具，探讨多项式矩阵 方程的解，得到方程有解的充要条件以及解的一般形式，在无精确解时研究方程的近似解，并在 相容与不相容的情况下探讨最小范数解与最小均方解． |
| 关 键 词： | GENERALIZED INVERSE POLYNOMIAL MATRIX MULTIVARIABLE LINEAR SYSTEM. CONSISTENCE OF EQUATION LEASE-SQUARES MINIMUM NORM |
GENERALIZED INAERSES OF POLYNOMIAL MA TRICES AND POLYNOMIAL MATRIX EQUATIONS |
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| Zheng Yingwen.GENERALIZED INAERSES OF POLYNOMIAL MA TRICES AND POLYNOMIAL MATRIX EQUATIONS[J].Journal of Fuzhou University(Natural Science Edition),1985(2):35-43. | |
| Authors: | Zheng Yingwen |
| Institution: | Institute of Automation |
| Abstract: | The generalized inverses of polynominal matrices are introduced in this paper on the strength of their being a means to be applied to polynomial matrix equations that are significant in multivariable linear system theory, Furthermore, the necessary and sufficient conditions for the consistece of polynomial matrix equations are presented. And also discussed are the appr- oximative solution, lease-squares solution, and minimum norm solution for such equations. |
| Keywords: | GENERALIZED INVERSE POLYNOMIAL MATRIX MULTIVARIABLE LINEAR SYSTEM CONSISTENCE OF EQUATION LEASE-SQUARES MINIMUM NORM |
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