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Kasenally, E.M. and Simoncini, V. (1997) Analysis of a Minimum Perturbation Algorithm for Nonsymmetric Linear Systems. SIAM Journal on Numerical Analysis, 34, 48-66.
https://doi.org/10.1137/S0036142994266844

has been cited by the following article:

• TITLE: Preconditioned Bminpert Algorithms for Matrix Equation AX = B and Their Applications in Color Image Restoration

  AUTHORS: Chenzhi Guo, Zhanshan Yang

  KEYWORDS: Block Minimum Joint Backward Perturbation, Nonsymmetric Linear Systems, Image Restoration

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.13 No.3, March 30, 2023

  ABSTRACT: The purpose of this paper is to show the preconditioned BMinPert algorithm and analyse the practical implementation. Then a posteriori backward error for BGMRES is given. Furthermore, we discuss their applications in color image restoration. The key differences between BMinPert and other methods such as BFGMRES-S(m, pf), GsGMRES and BGMRES are illustrated with numerical experiments which expound the advantages of BMinPert in the presence of sensitive data with ill-condition problems.