Perturbation Analysis And Condition Numbers Of Generalized Kronecker Product Linear Systems And Its Application

This paper is devoted to the perturbation analysis of Kronecker Product Linear Systems (Σ(i=1)s;Ai(?)Bi)χ=d. Based on our perturbation analysis, the upper bounds for the normwise, mixed and componentwise condition numbers are presented. Use-ful applications arise in connection with the numerical solution of implicit differential equations such as scalar Possion equation and convection-diffusion model problems. It also used in the linear matrix equation, image processing, electro motor control, data communications and other content. This paper are also devoted the application and give their relative numerical experiments to support our result.