| 广义四元数的一次代数方程 |
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| 引用本文： | 蔡永裕.广义四元数的一次代数方程[J].数学季刊,2002,17(2):59-64. |
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| 作者姓名： | 蔡永裕 |
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| 作者单位： | 湘潭师范学院数学系 湖南湘潭411201 |
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| 摘 要： | 本文运用广义四元数代数的矩阵表示讨论了两类广义四元数的一次代数方程的解问题，并得到了这两类代数方程有唯一解、无穷多解，无解的判别条件。
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| 关 键 词： | 广义四元数 一次代数方程 矩阵表示 |
On the First-degree Algebraic Equation of the Generalized Quaternion |
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| CAI Yongyu.On the First-degree Algebraic Equation of the Generalized Quaternion[J].Chinese Quarterly Journal of Mathematics,2002,17(2):59-64. |
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| Authors: | CAI Yongyu |
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| Abstract: | In this paper, by using the matrix representation of the generalized quaternion algebra, we discussed solution problem for two classes of the first_degree algebraic equation of the generalized quaternion and obtained critical conditions on existence of a unique solution, infinitely many solutions or nonexistence any solution for the two classes algebraic equation. |
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| Keywords: | generalized quaternion first_degree algebraic equation matrix representation |
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