Stieltjes matrix
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In mathematics, particularly matrix theory, a Stieltjes matrix is an M-matrix which is both symmetric and has an inverse. Every n×n Stieltjes matrix is invertible to a nonsingular symmetric matrix with nonnegative entries, though the converse of this statement is not true in general for n > 2.
From the above definition, a Stieltjes matrix is a symmetric invertible Z-matrix whose eigenvalues have positive real parts. As it is a Z-matrix, its off-diagonal entries are less than or equal to zero.
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