| 立体阵的一般结构 | |
| 张利军 ; 程代展 ; 李春文 ; Zhang Lijun ; Cheng Daizhan ; Li Chunwen | |
| 2010-06-09 ; 2010-06-09 | |
| 关键词 | 立体阵 矩阵的半张量积 高维矩阵 纳什均衡 Cubic matrix, semi-tensor product of matrices, multi-demensional matrix, Nash equilibrium. O151.21 |
| 其他题名 | THE GENERAL STRUCTURE OF CUBIC MATRICES |
| 中文摘要 | 本文给出了立体阵的各种表示形式及立体阵乘法的各种定义,推导出其主要性质,说明立体阵的乘积在适当情况下可转化成普通矩阵乘积。然后讨论了立体阵的乘积与矩阵半张量积的关系,并用矩阵半张量积统一了各种立体阵的乘法运算。最后以对策论为例说明它的应用。; In this paper, all kinds of expressions and various definitions of products of cubic matrices are presented. Their properties are investigated. Consequently, we show that all products of cubic matrices can be converted into products of general matrices under certain appropriate conditions. Then the relationship between semi-tensor product of matrices and product of cubic matrices is studied. The semi-tensor product of matrices is used to unify the various products of cubic matrices. An example in game theory is implemented to illustrate the applications.; 国家自然科学基金(G59837270，60274025，60343001) 博士后基金(2004036105) |
| 语种 | 中文 ; 中文 |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/57534]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | 张利军,程代展,李春文,等. 立体阵的一般结构[J],2010, 2010. |
| APA | 张利军,程代展,李春文,Zhang Lijun,Cheng Daizhan,&Li Chunwen.(2010).立体阵的一般结构.. |
| MLA | 张利军,et al."立体阵的一般结构".(2010). |
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