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求解矩阵Penrose广义逆的混合智能算法
引用本文:刘好斌,牟廉明. 求解矩阵Penrose广义逆的混合智能算法[J]. 内江师范学院学报, 2011, 26(12): 9-12
作者姓名:刘好斌  牟廉明
作者单位:内江师范学院数学与信息科学学院//四川省高等学校数值仿真重点实验室,四川内江,641100
摘    要:有效求解矩阵Penrose广义逆是一个困难的问题.首先将求解Penrose广义逆转化为求最小极值问题,结合粒子群算法和差分算法的优点,设计了混合智能算法.仿真实验结果表明:混合智能算法求解Penrose广义逆是有效的和可行的.算法易于计算机实现,计算精度高.

关 键 词:Penrose广义逆  粒子群算法  差分进化算法  混合智能算法

Hybrid Intelligent Algorithm to Solve Penrose Generalized Matrix Inverses
LIU Hao-bin,MOU Lian-ming. Hybrid Intelligent Algorithm to Solve Penrose Generalized Matrix Inverses[J]. Journal of Neijiang Teachers College, 2011, 26(12): 9-12
Authors:LIU Hao-bin  MOU Lian-ming
Affiliation:LIU Hao-bin,MOU Lian-ming(College of Mathematics and Information Science//Key Lab of Numerical Simulation of Sichuan Province,Neijiang Normal University,Neijiang,Sichuan 641100,China)
Abstract:Researchers have long been plagued by the problem of finding an effective approach to solve the Penrose generalized Matrix Inverses of a matrix.First,the determination of the Penrose generalized Matrix Inverses is transformed into the deterinination of the minimal extremum;and then in combination with the advantages of particle swarm optimization and difference algorithm,a hybrid intelligent algorithm is thus designed.And the simulation test shows that the newly developed hybrid intelligent algorithm proves...
Keywords:Penrose generalized matrix inverses  particle swarm optimization  differential evolution  hybrid intelligent algorithm  
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