| 一类非线性矩阵方程的迭代算法 |
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| 引用本文： | 龙建辉,何佑梅,胡锡炎. 一类非线性矩阵方程的迭代算法[J]. 贵州大学学报(自然科学版), 2010, 27(2): 4-6 |
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| 作者姓名： | 龙建辉 何佑梅 胡锡炎 |
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| 作者单位： | 福建工程学院数理系,福建,福州,350108;湖南大学数学与计量经济学院,湖南,长沙,410082 |
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| 基金项目： | 高校博士学科点专项科研基金资助项目,福建省自然科学基金,福建省教育厅基金,福建工程学院院基金 |
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| 摘 要： | 研究了一类在电路设计,信号处理中有广泛应用的非线性矩阵方程。给出了求该方程解的迭代算法,证明了其收敛性。数值例子说明所给算法是有效的。
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| 关 键 词： | 矩阵方程 迭代算法 收敛性 |
Iterative Algorithm of a class of Nonlinear Matrix Equation |
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| LONG Jian-hui,HE You-mei,HU Xi-yan. Iterative Algorithm of a class of Nonlinear Matrix Equation[J]. Journal of Guizhou University(Natural Science), 2010, 27(2): 4-6 |
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| Authors: | LONG Jian-hui HE You-mei HU Xi-yan |
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| Affiliation: | 1.Dept of Mathematic and Physics,Fujian Univ of Technology,Fuzhou Fujian 350108 China;2.College of Mathematics and Econometrics,Hunan Univ,Chang,Changsha 410082 China) |
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| Abstract: | A class of matrix equation which arises in designing Circuit,signal processing was studied.A iterative algorithms for finding the solution were given.At the same time,we proved the convergence.Several numerical examples were presented to illustrate the feasibility of our algorithm. |
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| Keywords: | matrix equation iterative algorithm convergence. |
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