Time-Varying Complex Matrix Generalized Inverse

  • Yunong ZhangEmail author
  • Dongsheng Guo


In Chaps.  8 and  9, different ZD models based on different ZFs have been presented and investigated to solve for time-varying matrix (left and right) pseudoinverse in real domain. In this chapter, the ZD approach (i.e., different ZFs leading to different ZD models) is extended and exploited to solve for time-varying matrix generalized inverse (in most cases, the pseudoinverse) in complex domain. Specifically, by introducing five different complex ZFs, five different complex ZD models are proposed, generalized, developed, and investigated for time-varying complex matrix generalized inverse computation. Theoretical results of convergence analysis are presented to show the desirable properties of the complex ZD models. In addition, we discover the link between the proposed complex ZD models and the Getz-Marsden (G-M) dynamic system in complex domain. Computer simulation results further substantiate the efficacy of the proposed complex ZD models based on different complex ZFs on solving for time-varying complex matrix generalized inverse.


Generalized Inverse Time-varying Complex Pseudoinverse Convergence Performance Randomly-generated Initial States 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.School of Information Science and TechnologySun Yat-sen UniversityGuangzhouChina

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