Neural network approach to computing outer inverses based on the full rank representation

作者：Stanimirovic, Predrag S.^*; Zivkovic, Ivan S.; Wei, Yimin

来源：Linear Algebra and Its Applications, 2016, 501: 344-362.

DOI：10.1016/j.laa.2016.03.035

• Generalized inverse A(T,S)((2))
• Recurrent neural network
• Dynamical system
• Matrix spectrum

The first intention of this paper is to emphasize equivalence between two well known general representations of outer in verses with prescribed range and null space of a given matrix. Two dynamical state equations, corresponding to particular expressions which are included in these representations, are defined within the second objective. In this way, two gradient based neural networks, initiated by introduced dynamical equations, are exploited in generating the class of outer inverses. The results corresponding to most common generalized inverses are obtained in particular cases. Numerical results are presented.

• 出版日期2016-7-15
• 单位复旦大学