제어로봇시스템학회:학술대회논문집

Institute of Control, Robotics and Systems (제어로봇시스템학회)
권호 표지

On the singularity of the matrix sign function algorithm

  • Kim, Hyoung-Joong (Department of Control and Instrumentation Engineering, Seoul National Univ.) ;
  • Lee, Jang-Gyu (Department of Control and Instrumentation Engineering, Seoul National Univ.)
  • Published : 1988.10.01
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Abstract

Some properties of a matrix containing at least one pair of purely imaginary eigenvalues in the matrix sign function algorithm are explicated. It is shown that such a nonsingular matrix can be end up a singular matrix in the matrix sign function algorithm independently of the matrix condition. The result can be utilized to identify and locate all the eigenvalues theoretically.

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