${\mathbb{R}}_n^{+}$	the cone of nonnegative vectors with dimension n
${\mathbb{S}}_n$	the cone of $n\times n$ symmetric matrices
${\mathbb{S}}_n^{+}$	the cone of $n\times n$ positive semidefinite matrices
${\mathbb{S}}_n^{++}$	the cone of $n\times n$ positive definite matrices
${\mathbb{N}}_n^{+}$	the cone of $n\times n$ nonnegative symmetric matrices
e	the vector of ones
I	the identity matrix with appropriate dimension
$X⪰(\succ )\mathbf{0}$	stands for X is positive semidefinite (positive definite), i.e, $X\in {\mathbb{S}}_n^{+}({\mathbb{S}}_n^{++})$
$A•B$	$\mathrm{trace}(A^{T}B)$ for two conformal matrices A and B
$\mathrm{diag}(M)$	the column vector whose elements are the diagonal elements of the given matrix M
$\mathrm{Opt}(\ast )$/$\mathrm{Fea}(\ast )$	the optimal objective value/the set of feasible solutions of the given problem $(\ast )$