Jedrzejec, Henryk A.; Woźnicki, Zbigniew I.

On properties of some matrix splittings

Electron. J. Linear Algebra 8, 47-52, electronic only (2001)

Summary

Summary: Properties of some splittings of a monotone matrix A are discussed. These properties are fundamental hypotheses in the proofs of comparison theorems. This fact is illustrated by several results given in the literature.

Mathematics Subject Classification

65C20, 65F10, 65F15

Keywords/Phrases

systems of linear equations, convergence conditions, comparison theorems, nonnegative splittings, weak nonnegative splittings, weak splittings, weaker splittings

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