The study of condition numbers and perturbation analysis in least squares problems has become a cornerstone in numerical linear algebra, underpinning the reliability and accuracy of solutions to ...

In this paper, we investigate the condition numbers for the generalized matrix inversion and the rank deficient linear least squares problem: minx ∥Ax-b∥₂, where A is an m-by-n (m ≥ n) rank deficient ...

This is a preview. Log in through your library . Abstract Based on the generalized minimal residual (GMRES) principle, Hu and Reichel proposed a minimal residual algorithm for the Sylvester equation.