| 一个矩阵多项式求逆问题的推广 |
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| 引用本文： | 袁力,姜琴. 一个矩阵多项式求逆问题的推广[J]. 达县师范高等专科学校学报, 2013, 23(5): 15-17 |
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| 作者姓名： | 袁力 姜琴 |
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| 作者单位： | 1. 郧阳师范高等专科学校数学与财经系,湖北十堰,442000
2. 郧阳师范高等专科学校计算机科学系,湖北十堰,442000 |
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| 基金项目： | 湖北省教育厅科研计划项目“贝叶斯统计方法在期权定价中的应用研究”（B20126001）;郧阳师范高等专科学校教研基金项目“高等代数课程教学内容和课程体系改革的深化与实践”（2012007）;郧阳师范高等专科学校科研基金项目“贝叶斯统计方法在期权定价中的应用”（2011806） |
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| 摘 要： | 矩阵求逆是高等代数研究的重要问题,建立在此基础上的矩阵多项式求逆问题,因其复杂灵活的形式而成为一个研究难点.从一个二次矩阵多项式的求逆问题出发,运用逆矩阵定义、多项式互素、线性方程组理论给出了该问题的三种解法,并通过第三种方法进一步推得了此类矩阵多项式的求逆公式.
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| 关 键 词： | 矩阵多项式 逆矩阵 多项式互素 |
A Generalization of a Matrix Polynomial Inversion |
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| YUAN Li , JIANG Qin. A Generalization of a Matrix Polynomial Inversion[J]. Journal of Daxian Teachers College, 2013, 23(5): 15-17 |
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| Authors: | YUAN Li JIANG Qin |
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| Affiliation: | 1. Mathematics and Finance - Economics Department of Yunyang Teachers＇ College, Shiyan Hubei 4442000 ; 2. Computer Science Department of Yunyang Teachers＇ College, Shiyan Hubei 4442000, China) |
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| Abstract: | An important study of higher algebra is matrix inversion, on the base of which is matrix polynomial inversion, which is a difficulty because of its complex and changeable forms. Starting from a inversion of quadric matrix polynomial, three resolu- tions are given by.the way of the definition of inverse matrix, polynomial coprime and theory on the linear system of equations and the inverse formula of the polynomial matrix is generalized by the third resolution. |
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| Keywords: | matrix polynomial inverse matrix polynomial coprime |
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