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Nonnegative splitting theory. (English) Zbl 0805.65033
This paper generalizes the concept and the theory of the well-known regular splitting, when $A=M-N$ and it is assumed that $M\sp{-1}$, $M\sp{-1}N$, and $NM\sp{-1}$ are all nonnegative. Applications are given in comparing the convergence speeds of iteration methods for solving linear algebraic equations.

##### MSC:
 65F10 Iterative methods for linear systems 15B48 Positive matrices and their generalizations; cones of matrices
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##### References:
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