Convergence of General Nonstationary Iterative Methods for Solving Singular Linear Equations
Xinghua Mindy Shi, Yimin Wei, Wen Zhang · SIAM Journal on Matrix Analysis and Applications · 2011
In this paper, we analyze the convergence of the general nonstationary iterative methods for solving consistent singular linear equations (in particular, singular Hermitian positive semidefinite linear systems), and we discuss relations of general stationary results and ours. We utilize the quotient convergence to prove the convergence of the two-stage iterative algorithms for solving the consistent singular Hermitian positive semidefinite linear equations.