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.