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\\mathbb{S}_{\\mathcal{S}_1,\\mathcal{S}_2}=\\left\\{\\left(\\mathcal{M},\\mathcal{L}\\right)| \\ \\mathcal{M}=\\left[% \\begin{array}{cc}\n  X_{12} & 0\n  X_{22} & I \\end{array}% \\right]\\mathcal{S}_2, \\mathcal{L}=\\left[% \\begin{array}{cc}\n  I & X_{11}\n  0 & X_{21} \\end{array}% \\right]\\mathcal{S}_1\\right.\\nonumber  \\left. \\text{ and }X=\\left[% \\begin{array}{cc}\n  X_{11} & X_{12}\n  X_{21} & X_{22} 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