Rank constrained matrix best approximation problem with respect to (skew) Hermitian matrices
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[1] Musheng Wei,et al. Minimum rank (skew) Hermitian solutions to the matrix approximation problem in the spectral norm , 2015, J. Comput. Appl. Math..
[2] Ivan Markovsky,et al. Software for weighted structured low-rank approximation , 2014, J. Comput. Appl. Math..
[3] Sujit Kumar Mitra,et al. Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations , 1976 .
[4] G. Styan,et al. Equalities and Inequalities for Ranks of Matrices , 1974 .
[5] Hongxing Wang,et al. The minimal rank of matrix expressions with respect to Hermitian matrix-revised , 2016, J. Frankl. Inst..
[6] E. Oja,et al. Projection filter, Wiener filter, and Karhunen-Loève subspaces in digital image restoration , 1986 .
[7] Peter Lancaster,et al. Linear matrix equations from an inverse problem of vibration theory , 1996 .
[9] Hongxing Wang. Rank constrained matrix best approximation problem , 2015, Appl. Math. Lett..
[10] Musheng Wei,et al. On rank-constrained Hermitian nonnegative-definite least squares solutions to the matrix equation AXA H =B , 2007 .
[11] Jeffrey L. Krolik,et al. A generalized Karhunen-Loeve basis for efficient estimation of tropospheric refractivity using radar clutter , 2004, IEEE Transactions on Signal Processing.
[12] J. Demmel. The smallest perturbation of a submatrix which lowers the rank and constrained total least squares problems , 1987 .
[13] Ivan Markovsky,et al. Low Rank Approximation - Algorithms, Implementation, Applications , 2018, Communications and Control Engineering.
[14] Tingzhu Huang,et al. Extremal ranks of matrix expression of A - BXC with respect to Hermitian matrix , 2010, Appl. Math. Comput..
[15] G. Stewart,et al. A generalization of the Eckart-Young-Mirsky matrix approximation theorem , 1987 .
[16] Hongxing Wang. The minimal rank of A-BX with respect to Hermitian matrix , 2014, Appl. Math. Comput..
[17] Yukihiko Yamashita,et al. Relative Karhunen-Loève transform , 1996, IEEE Trans. Signal Process..
[18] Hongxing Wang. On least squares solutions subject to a rank restriction , 2015 .
[19] A. Hoffman,et al. The variation of the spectrum of a normal matrix , 1953 .
[20] Jiao-fen Li,et al. On the Low-Rank Approximation Arising in the Generalized Karhunen-Loeve Transform , 2013 .
[21] Ying Li,et al. A Hermitian least squares solution of the matrix equation AXB=C subject to inequality restrictions , 2012, Comput. Math. Appl..
[22] Anatoli Torokhti,et al. Generalized Rank-Constrained Matrix Approximations , 2007, SIAM J. Matrix Anal. Appl..
[23] MUSHENG WEI,et al. Minimum Rank Solutions to the Matrix Approximation Problems in the Spectral Norm , 2012, SIAM J. Matrix Anal. Appl..
[24] A. Rantzer,et al. On a generalized matrix approximation problem in the spectral norm , 2012 .
[25] Yoshio Takane,et al. Ranks of Hermitian and skew-Hermitian solutions to the matrix equation AXA∗=B , 2009 .
[26] Yongge Tian,et al. Hermitian-type generalized singular value decomposition with applications , 2013, Numer. Linear Algebra Appl..
[27] Wanquan Liu,et al. Generalized Karhunen-Loeve transform , 1998, IEEE Signal Process. Lett..
[28] Yongge Tian. A survey on rank and inertia optimization problems of the matrix-valued function $A + BXB^{*}$ , 2015 .