In
mathematics, the class of L-matrices are those
matrices
Matrix most commonly refers to:
* ''The Matrix'' (franchise), an American media franchise
** ''The Matrix'', a 1999 science-fiction action film
** "The Matrix", a fictional setting, a virtual reality environment, within ''The Matrix'' (franchis ...
whose off-diagonal entries are less than or equal to zero and whose diagonal entries are positive; that is, an L-matrix ''L'' satisfies
:
See also
*
Z-matrix—every L-matrix is a Z-matrix
*
Metzler matrix In mathematics, a Metzler matrix is a matrix in which all the off-diagonal components are nonnegative (equal to or greater than zero):
: \forall_\, x_ \geq 0.
It is named after the American economist Lloyd Metzler.
Metzler matrices appear in st ...
—the negation of any L-matrix is a Metzler matrix
References
Matrices
{{matrix-stub