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L-matrix

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

See also

References

  1. Young, David M. (1971). Iterative solution of large linear systems. Computer Science and Applied Mathematics. Academic Press. ISBN 0127730508. LCCN 73-170124.


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