L-matrix

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[1]

${\displaystyle L=(\ell _{ij});\quad \ell _{ii}>0;\quad \ell _{ij}\leq 0,\quad i\neq j.}$

See also

• Z-matrix
• Metzler matrix

References

1. Young, David M. (1971). "Iterative solution of large linear systems". Academic Press, New York-London. Cite journal requires |journal= (help)