The reflexive and anti-reflexive solutions of the matrix equation AX = B

By Zhen-yun Peng, Xi-Yan Hu. 2003

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Re-nnd SOLUTIONS OF THE MATRIX EQUATION AXB=C (2008, background): “We say that X is Re-nnd (Re-nonnegative definite) if H(X) ≥ 0 and X is Re-pd (Re-positive definite) if H(X) > 0.”
Minimization problems for (R,S)-symmetric and (R,S)-skew symmetric matrices (2004, unknown): “Peng and Hu [6] have studied the existence of n× n (R,R)-symmetric ((R,R)-skew symmetric) matrices X such that AX = B, where A and B are given in Cm×n, and the approximation of an arbitrary Y ∈ Cn×n by matrices X that satisfy AX = B; however, they did not consider the minimization of ‖AX − B‖ when t”
Equations ax = c and xb = d in rings and rings with involution with applications to Hilbert space operators (2008, methodology): “(12) in [24] giving the general w-antireflexive solution to the matrix equation AX = B is incorrect.”