The (P, Q)-(skew)symmetric extremal rank solutions to a system of quaternion matrix equations
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[1] Qing-Wen Wang,et al. Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations , 2005 .
[2] Hsin-Chu Chen. Generalized Reflexive Matrices: Special Properties and Applications , 1998, SIAM J. Matrix Anal. Appl..
[3] Xi-Yan Hu,et al. The reflexive and anti-reflexive solutions of the matrix equation AX = B , 2003 .
[4] S. Leo,et al. Right eigenvalue equation in quaternionic quantum mechanics , 2000, math-ph/0002051.
[5] Donald G. Saari,et al. Unsettling aspects of voting theory , 2003 .
[6] Junfeng Lu,et al. The matrix equations AX=B, XC=F with PX=sXP constraint , 2007, Appl. Math. Comput..
[7] Hsin-Chu Chen,et al. The SAS Domain Decomposition Method for Structural Analysis , 1988 .
[8] C. Eddie Moxey,et al. Hypercomplex correlation techniques for vector images , 2003, IEEE Trans. Signal Process..
[9] S. Mitra. The matrix equations AX = C, XB = D , 1984 .
[10] Qingwen Wang. The general solution to a system of real quaternion matrix equations , 2005 .
[11] Yongge Tian,et al. The maximal and minimal ranks of A − BXC with applications , 2003 .
[12] Nicolas Le Bihan,et al. Quaternion singular value decomposition based on bidiagonalization to a real or complex matrix using quaternion Householder transformations , 2006, Appl. Math. Comput..
[13] F. Uhlig. On the matrix equation AX=B with applications to the generators of a controllability matrix , 1987 .
[14] Simo Puntanen,et al. Two matrix-based proofs that the linear estimator Gy is the best linear unbiased estimator , 2000 .
[15] Stephen J. Sangwine,et al. Color image decomposition using quaternion singular value decomposition , 2003 .
[16] William F. Trench,et al. Minimization problems for (R,S)-symmetric and (R,S)-skew symmetric matrices , 2004 .
[17] Zhang Lei,et al. The Generalized Reflexive Solution for a Class of Matrix Equations (AX=B, XC=D) , 2008 .
[18] Lei Zhang,et al. THE SYMMETRIC MINIMAL RANK SOLUTION OF THE MATRIX EQUATION AX = B AND THE OPTIMAL APPROXIMATION ∗ , 2009 .
[19] Sujit Kumar Mitra,et al. Fixed rank solutions of linear matrix equations , 1972 .
[20] Nicolas Le Bihan,et al. Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing , 2004, Signal Process..
[21] Qing-Wen Wang,et al. Extremal ranks of a quaternion matrix expression subject to consistent systems of quaternion matrix equations with applications , 2006, Appl. Math. Comput..
[22] W. F. Trench,et al. Inverse Eigenproblems and Associated Approximation Problems for Matrices with Generalized Symmetry or Skew Symmetry , 2003 .
[23] Qing-Wen Wang,et al. P-(skew)symmetric common solutions to a pair of quaternion matrix equations , 2008, Appl. Math. Comput..
[24] Daniel W. C. Ho,et al. Regularization of Singular Systems by Derivative and Proportional Output Feedback , 1998, SIAM J. Matrix Anal. Appl..
[25] Nancy Nichols,et al. Minimum norm regularization of descriptor systems by mixed output feedback , 1999 .
[26] Yongge Tian,et al. PARTIALLY SUPERFLUOUS OBSERVATIONS , 2006, Econometric Theory.
[27] S. Sangwine,et al. Vector phase correlation , 2001 .
[28] Fuzhen Zhang. Quaternions and matrices of quaternions , 1997 .
[29] D. Farenick,et al. The spectral theorem in quaternions , 2003 .
[30] Douglas P. Wiens,et al. On equality and proportionality of ordinary least squares, weighted least squares and best linear unbiased estimators in the general linear model , 2006 .
[31] J. K. Baksalary,et al. Nonnegative definite and positive definite solutions to the matrix equation AXA * = B , 1984 .
[32] Sujit Kumar Mitra,et al. A pair of simultaneous linear matrix equations A1XB1 = C1, A2XB2 = C2 and a matrix programming problem , 1990 .