On locating the zeros and poles of a meromorphic function

Haotian Chen

This paper develops a practical numerical method for locating the zeros and poles of a meromorphic function, based upon the generalized argument principle. Sensitivity is analysed carefully to assure the algorithm stability. A novel approach to the error estimation is also proposed. Numerical examples are given to illustrate the effectiveness and practicability, with emphasis on the potential applications in plasma physics.

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