Author(s)

Chenzhi Guo, Zhanshan Yang

School of Mathematics and Statistics, Qinghai University for Nationalities, Xining, China.

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, p_f), GsGMRES and BGMRES are illustrated with numerical experiments which expound the advantages of BMinPert in the presence of sensitive data with ill-condition problems.

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

Guo, C. and Yang, Z. (2023) Preconditioned Bminpert Algorithms for Matrix Equation AX = B and Their Applications in Color Image Restoration. Open Journal of Applied Sciences, 13, 461-471. doi: 10.4236/ojapps.2023.133037.