Schwarz Iterations for Symmetric Positive Semidefinite Problems
Reinhard Nabben, Daniel B. Szyld · SIAM Journal on Matrix Analysis and Applications · 2006
Convergence properties of additive and multiplicative Schwarz iterations for solving linear systems of equations with a symmetric positive semidefinite matrix are analyzed. The analysis presented applies to matrices whose principal submatrices are nonsingular, i.e., positive definite. These matrices appear in discretizations of some elliptic partial differential equations, e.g., those with Neumann or periodic boundary conditions.