Japan Journal of Industrial and Applied Mathematics

, Volume 11, Issue 2, pp 289–342

Nonnegative splitting theory

Authors

  • Zbigniew I. Woźnicki
    • Institute of Atomic Energy
Article

DOI: 10.1007/BF03167226

Cite this article as:
Woźnicki, Z.I. Japan J. Indust. Appl. Math. (1994) 11: 289. doi:10.1007/BF03167226

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.

Key words

linear equation systemsiterative methodsmonotone matriceseigenvalueseigenvectorsregularnonnegativeweak nonnegative and weaksplittingscomparison theorems

Copyright information

© JJIAM Publishing Committee 1994