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Research Paper | Mathematics | China | Volume 5 Issue 10, October 2016
The Entry Formula for a Mixed Resultant Matrix of Three-Variable Polynomial System
Ke Ke Zeng
Abstract: Resultant matrix is one of important tools in elimination theory. one of many resultant matrices is mixed Cayley-Sylvester resultant matrix. This paper starts from the definition of mixed Cayley-Sylvester resultant matrices, for a three-variable polynomial system, and use the property of determinant to simplify the main steps to avoid polynomial division and to improve the computational efficiency of mixed Cayley-Sylvester resultant.
Keywords: resultant matrices, elimination theory, mixed Cayley-Sylvester matrice
Edition: Volume 5 Issue 10, October 2016,
Pages: 856 - 859
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