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特殊矩阵反问题的最小二乘解及最佳逼近问题

Least squares solutions and its best approximation of the inverse problem of special matrices
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摘要 主要利用矩阵的商奇异值分解,研究在Hermitian反自酉相似矩阵约束下矩阵方程(AXAH,BXBH)=(C,E)的解及其最小二乘问题,并给出对应解的表达式。 The solutions and least-squares solution of matrix equation (AXA^H,BXB^H)=(C,E) over Hermitian anti-self-unitary similar matrices are considered. The corresponding expression of solutions is given.
出处 《北京信息科技大学学报(自然科学版)》 2015年第3期57-64,共8页 Journal of Beijing Information Science and Technology University
基金 国家自然科学基金资助项目(61473325)
关键词 约束矩阵 最小二乘解 Hermitian反自酉相似矩阵 constrained matrix least-square solution Hermitian anti-self-unitary similar matrices
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  • 1Zhen-yunPeng,Xi-yanHu,LeiZhang.THE NEAREST BISYMMETRIC SOLUTIONS OF LINEAR MATRIX EQUATIONS[J].Journal of Computational Mathematics,2004,22(6):873-880. 被引量:3
  • 2周硕,吴柏生.双中心矩阵反问题及其在电网络理论中的应用[J].工程数学学报,2007,24(4):611-617. 被引量:5
  • 3孙继广.实对称矩阵的两类逆特征值问题[J].计算数学,1988,(3):282-290.
  • 4宫楠楠,沐彧.用实验数据最优修正不定导纳矩阵[J].中国电机工程学会第十届青年学术会议,2008.
  • 5Trench W F. Characterization and properties of matrices with k-involutory symmetries[J]. Linear Algebra Appl., 2008, 429: 2278-2290.
  • 6Trench W F. Characterization and properties of matrices with k-involutory symmetries II[J]. Linear Algebra Appl., 2010, 432 2782-2797.
  • 7Trench W F. Characterization and properties of (R, S)-symmetric, (R, S)-skew symmetric, and (R, S)-conjugate m'atrices[J]. SIAM J. Matrix Anal. Appl., 2005, 26: 748-757.
  • 8Weaver J R. Centrosymmetric(cross-symmetric) matrices, their basic properties, eigenvalues, and eigevectors[J]. Amer. Math. Monthly., 1985, 92: 711-717.
  • 9Chen H C. Generalized reflexive matrices: special properties and applications[J]. SIAM J. Matrix Anal. Appl., 1998, 19: 140-153.
  • 10Li G L, Feng Z H. Mirrorsymetric matrices, their basic properties, and an application on odd/even- mode decomposition of symmetric multiconductor transmission lines[J]. SIAM J.Matrix Anal. Appl., 2002, 24: 78490.

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