| 矩阵的分块Kronecker积 |
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| 引用本文： | 李光辉,燕飞.矩阵的分块Kronecker积[J].数学的实践与认识,2020(5):188-194. |
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| 作者姓名： | 李光辉 燕飞 |
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| 作者单位： | 凯里学院理学院;北京师范大学珠海分校应用数学学院 |
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| 基金项目： | 国家自然科学基金(11901260);凯里学院博士专项课题(BS201807)。 |
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| 摘 要： | 为了构造适应于复杂的矩阵计算的程序,在分块矩阵与Kronecker积的基础上提出一类新的矩阵运算方式,称之为矩阵的分块Kronecker积.首先研究了这种运算的性质及计算机实现的过程,进一步讨论了的这类运算在实际中的应用,最后提出进一步可研究的问题.
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| 关 键 词： | KRONECKER积 分块矩阵 向量化运算 |
Block Kronecker Product of Matrices |
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| LI Guang-hui,YAN Fei.Block Kronecker Product of Matrices[J].Mathematics in Practice and Theory,2020(5):188-194. |
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| Authors: | LI Guang-hui YAN Fei |
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| Institution: | (School of science Kaili University,Kaili 556011,China;School of Applied Mathematics,Beijing Normal University(Zhuhai),Zhuhai 519087,China) |
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| Abstract: | In order to construct a program suitable for complex matrix computation,we proposed a new matrix operation method based on block matrix and Kronecker product,which is called the block Kronecker product of matrices.Firstly,the property of this operation and the process of computer implementation are studied.Secondly,we discussed the application of this operation in practice.At last,some questions that can be further studied are put forward. |
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| Keywords: | Kronecker product block matrix matrix vec operator |
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