两类2-Toeplitz型矩阵的奇异值  

Singular values of two kinds of 2-Toeplitz type matrices

作　　者：过美林 钟金[1] GUO Meilin;ZHONG Jin(School of Science,Jiangxi University of Science and Technology,Ganzhou 341000,China)

机构地区：[1]江西理工大学理学院,江西赣州341000

出　　处：《江西理工大学学报》2020年第1期97-100,共4页Journal of Jiangxi University of Science and Technology

基　　金：国家自然科学基金资助项目(11661041);江西理工大学清江青年优秀人才项目(JXUSTQJYX2017007)。

摘　　要：为了更好的将特殊结构矩阵的奇异值及奇异值分解应用于人脸识别和图像处理等应用领域,文章研究了两类特殊结构矩阵的奇异值。利用三对角和五对角2-Toeplitz矩阵的特征值分解,给出了两类2-Toeplitz型长方矩阵的奇异值,为下一步求解这两类矩阵的奇异值分解奠定基础。The singular values of two kinds of special structure matrices are studied in order to better apply singular value and singular value decomposition to some applied fields, such as face recognition and image processing. By using the eigenvalue decomposition of tridiagonal and pentadiagonal 2-Toeplitz matrix, the singular values of two kinds of 2-Toeplitz type rectangular matrices are presented, which lays the foundation for further obtaining the singular value decomposition of these two kinds of matrices.

关 键 词：奇异值 三对角矩阵 五对角矩阵 2-Toeplitz矩阵 

分 类 号：O151.21[理学—数学]