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.
On the basis of the generalized argument principle, here we develop a numerical scheme for locating zeros and poles of a meromorphic function . A subdivision-transformation-calculation scheme is proposed to ensure the algorithm stability. A novel feature of this algorithm is the ability to estimate the error level automatically . Numerical examples are also presented, with an emphasis on potential applications to plasma physics.
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This paper develops a practical numerical method for locating the
On the basis of the generalized argument principle, here we develop a numerical scheme for locating
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, based upon the generalized argument principle. Sensitivity is analysed carefully to assure
. A subdivision-transformation-calculation scheme is proposed to ensure
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approach to the error estimation is also proposed
feature of this algorithm is the ability to estimate the error level automatically
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given to illustrate the effectiveness and practicability, with emphasis on the potential applications in
also presented, with an emphasis on potential applications to