Home >> International Journal of Computer Mathematics, Volume 84, Number 8

A short note on singular values of optimal and superoptimal preconditioned matrices

Source: International Journal of Computer Mathematics, Volume 84, Number 8, August 2007 , pp. 1261-1263(3)

Publisher: Taylor and Francis Ltd

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Abstract:

In this short note, we prove that given any nonsingular matrix, the singular values of the superoptimal preconditioned matrix do not exceed the corresponding singular values of the optimal preconditioned matrix.

Keywords: Optimal preconditioner; Superoptimal preconditioner

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207160701356530

Publication date: 2007-08-01

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