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COMPLEX COEFFICIENTS TABLE TEST FOR TWO-DIMENSIONAL DISCRETE HURWITZ POLYNOMIALS |
Xiao Yang |
Institute of Information Science,Northern Jiaotong University, Beijing 100044 |
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Abstract The test theorem of 2-D discrete Hurwitz polynomials is proposed. Different from the algebraic methods for the polynomials, the approach of this paper is to list table for complex variable coefficients directly, then to test zero existence for the polynomials with the theorem of this paper. The test proceedure is greatly simplified, and reduces the computations, for it need not to test all x in real domain [-1, 1] point by point and will not meet the rational polynomials. To determine whether they are 2-D discrete Hurwitz polynomialsneeds only finite computations.
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Received: 24 February 1994
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