Sufficient conditions for the convergent splittings of non-Hermitian positive definite matrices. (English) Zbl 0983.65044

In this very short paper (less than four pages) the authors present some sufficient conditions for the convergent splitting of non-Hermitian positive definite complex matrices. They demonstrate one interesting property of the Hermitian/skew-Hermitian splitting of positive definite complex matrices. The reported results may be used to identify the convergence of iterative methods for solving large sparse systems of linear equations.


65F10 Iterative numerical methods for linear systems
65F50 Computational methods for sparse matrices
Full Text: DOI


[1] Berman, A.; Plemmons, R. J., Nonnegative Matrices in the Mathematical Sciences (1979), Academic Press: Academic Press New York · Zbl 0484.15016
[2] Varga, R. S., Matrix Iterative Analysis (1962), Prentice-Hall: Prentice-Hall Englewood Cliffs, NJ · Zbl 0133.08602
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