Complex ZNN models solving for Moore-Penrose inverse of complex full-rank matrix based on three error functions(基于3个误差函数的复数ZNN模型求解复数满秩矩阵的Moore-Penrose逆)

LIAOBolin(廖柏林); RENChengkun(任成坤); ZHANGYunong(张雨浓); YEChengxu(叶成绪); LIFen(李奋)

doi:10.3785/j.issn.1008-9497.2014.06.009

Zhejiang Daxue xuebao. Lixue ban (Nov 2014)

Complex ZNN models solving for Moore-Penrose inverse of complex full-rank matrix based on three error functions(基于3个误差函数的复数ZNN模型求解复数满秩矩阵的Moore-Penrose逆)

LIAOBolin(廖柏林),
RENChengkun(任成坤),
ZHANGYunong(张雨浓),
YEChengxu(叶成绪),
LIFen(李奋)

Affiliations

LIAOBolin(廖柏林): 1.School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510006, China( 1.中山大学信息科学与技术学院，广东　广州　510006)
RENChengkun(任成坤): 1.School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510006, China( 1.中山大学信息科学与技术学院，广东　广州　510006)
ZHANGYunong(张雨浓): 1.School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510006, China( 1.中山大学信息科学与技术学院，广东　广州　510006)
YEChengxu(叶成绪): 1.School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510006, China( 1.中山大学信息科学与技术学院，广东　广州　510006)
LIFen(李奋): 1.School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510006, China( 1.中山大学信息科学与技术学院，广东　广州　510006)

DOI: https://doi.org/10.3785/j.issn.1008-9497.2014.06.009
Journal volume & issue: Vol. 41, no. 6
pp. 658 – 663

Abstract

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针对复数满秩矩阵的Moore-Penrose逆问题，采用一种新型的递归神经网络(ZNN)进行求解.构造3个不同的复数矩阵误差函数，利用ZNN设计公式推导得到对应的不同复数ZNN模型.为了便于计算机仿真，采用向量化技术将所得到的ZNN模型由矩阵形式转换为矩阵向量形式.计算机仿真结果表明了所得到的3个复数ZNN模型在求解复数满秩矩阵Moore-Penrose逆时的可行性与有效性.

Published in Zhejiang Daxue xuebao. Lixue ban

ISSN: 1008-9497 (Print)
Publisher: Zhejiang University Press
Country of publisher: China
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science; Science: Physics
Website: https://www.zjujournals.com/sci/EN/1008-9497/home.shtml

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