L-matrix

Short description: Matrix with positive entries on the main diagonal and non-positive entries elsewhere

In mathematics, the class of L-matrices are those matrices whose off-diagonal entries are less than or equal to zero and whose diagonal entries are positive; that is, an L-matrix L satisfies

[math]\displaystyle{ L=(\ell_{ij});\quad \ell_{ii} \gt 0; \quad \ell_{ij}\leq 0, \quad i\neq j. }[/math]

See also

• Z-matrix—every L-matrix is a Z-matrix
• Metzler matrix—the negation of any L-matrix is a Metzler matrix