Titlebook: M-matrices in Numerical Analysis; Günther Windisch Textbook 1989 Springer Fachmedien Wiesbaden 1989 Matrizen.numerische Mathematik

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,Inverse M-Matrices and Green’s Functions,We shall focus attention on the shape of the inverses of these M-matrices which exhibit behaviour similar to that of Green’s functions of the discretized problems. This fact will be illustrated by some examples in which the inverses of the arising nonsingular M-matrices are explicitly known.

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M-Matrix Properties,We now proceed to consider some main properties of M-matrices. They are of general interest, and besides they bear some direct relationship to discretization methods as will be seen later on. Referring to the literature, we shall omit the proofs, which are far from being elementary.

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