Abstract
In this paper the nonnegative splitting theory, playing a fundamental role in the convergence analysis of iterative methods for solving large linear equation systems with monotone matrices and representing a broad class of physical and engineering problems, is formulated. As the main result of this theory, it is possible to make the comparison of spectral radii of iteration matrices in particular iterative methods.
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Dedicated to my teacher and friend Professor Janusz R. Mika
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Woźnicki, Z.I. Nonnegative splitting theory. Japan J. Indust. Appl. Math. 11, 289–342 (1994). https://doi.org/10.1007/BF03167226
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DOI: https://doi.org/10.1007/BF03167226