GONG Yurong and LIU Huijuan. Further results on article of a class of matrices that can be diagonalized[J]. Journal of Light Industry, 2021, 36(3): 104-108. doi: 10.12187/2021.03.013
Citation:
GONG Yurong and LIU Huijuan. Further results on article of a class of matrices that can be diagonalized[J]. Journal of Light Industry, 2021, 36(3): 104-108.
doi:
10.12187/2021.03.013
Further results on article of a class of matrices that can be diagonalized
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Received Date:
2020-06-19
Accepted Date:
2021-01-15
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Abstract
By utilizing the concepts and theories of singular value,tensor product,tensor sum and the connection of eigenvalue with determinant of matrices,another proof on theorem 2 in literature[1] was given,the singular value and spectral decomposition and the determinant of the matrix suited to A*=A2 were investigated,the conclusions were also obtained:(A⊗B)*=(A⊗B)2 on tensor product about two matrices A and B which satisfied the above condition,the relationship of eigenvalues of A* with A,the relationship between eigenvectors,and spectral decomposition formular of the matrice A.
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References
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[1]
秦建国,谢栋梁,王静娜.一类可以对角化的矩阵[J].郑州轻工业学院学报(自然科学版),2013,28(2):106.
-
[2]
刘慧娟,曲双红.满足条件A*=-A3的矩阵性质研究[J].轻工学报,2020,35(6):105.
-
[3]
生成玉,刘威,吕琳琳.Hermite矩阵空间上保持幂等关系的映射[J].黑龙江大学学报(自然科学版),2017,34(3):259.
-
[4]
SALEM A.On the discrete q-Hermite matrix polynomials[J].International Journal of Applied and Computational Mathematics,2017,3(4):3147.
-
[5]
DEFEZ E,TUNG M M.A new type of Hermite matrix polynomial series[J].Quaestions Mathematiae,2018,41(2):205.
-
[6]
宋园.正定Hermite矩阵迹的不等式的几点注记[J].安庆师范大学学报(自然科学版),2019,25(2):40.
-
[7]
冯艳昭,张澜.两类矩阵方程的极小范数最小二乘三对角Hermite解[J].高等学校计算数学学报,2020,42(2):106.
-
[8]
BOROS T,ROZSA P.An explicit formula for singular values of the Sylvester-Kac matrix[J].Linear Algebra and its Applications,2007, 421(2):407.
-
[9]
于寅.高等工程数学[M].武汉:华中科技大学出版社,2001.
-
[10]
陈公宁.矩阵理论与应用[M].北京:科学出版社,2007.
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Proportional views
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