Abstract
A general method for incomplete factorization of M-matrices in block-matrix form is presented. The method generalizes previous methods for pointwise incomplete factorization [methods of Varga (1960), of Wožnicki (1973), and of Meijerink and van der Vorst (1977)] as well as a method for tridiagonal block matrices. Also we present a new and more general result on the existence of so-called modified incomplete factorizations which satisfy a generalized rowsum criterion.
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