| 基于半张量积理论的二次型化简模型与实现 |
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| 引用本文： | 刘旭浩,徐勇.基于半张量积理论的二次型化简模型与实现[J].郑州大学学报(自然科学版),2013(2):37-40. |
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| 作者姓名： | 刘旭浩 徐勇 |
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| 作者单位： | [1]衡水学院数学与计算机学院,河北衡水053000 [2]河北工业大学理学院,天津300401 |
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| 基金项目： | 国家自然科学基金资助项目,编号71071079. |
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| 摘 要： | 二次型化简一般是通过施密特正交化方法构造正交矩阵，利用正交矩阵将二次型对角化来实现的．矩阵的半张量积将二次型的化简过程以矩阵乘积的形式表述，使得对角化过程清晰直观．
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| 关 键 词： | 二次型 正交化 半张量积 |
Model and Implementation of Quadratic Simplification Based on Semi-tensor Product |
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| LIU Xu-hao,XU Yong.Model and Implementation of Quadratic Simplification Based on Semi-tensor Product[J].Journal of Zhengzhou University (Natural Science),2013(2):37-40. |
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| Authors: | LIU Xu-hao XU Yong |
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| Institution: | 1. School of Mathematics and Computer Science, Hengshui University, Hengshui 053000, China; 2. School of Science, Hebei University of Technology, Tianfin 300401, China) |
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| Abstract: | The quadratic ted by Schmidt method simplification was usually realized by an orthogonal matrix, The process of quadratic simplification was expressed clearly a matrix multiplication by semi-tensor product which was construc- intuitively with |
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| Keywords: | quadratic form orthogonalization semi-tensor product |
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