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

$L=({\ell }_{ij});{\ell }_{ii}>0;{\ell }_{ij}\le 0,i\ne j.$

See also

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