A sharp convergence estimate for the method of subspace corrections for singular systems of equations

作者：Lee Young Ju^*; Wu Jinbiao; Xu Jinchao; Zikatanov Ludmil

来源：Mathematics of Computation, 2008, 77(262): 831-850.

This paper is devoted to the convergence rate estimate for the method of successive subspace corrections applied to symmetric and positive semidefinite (singular) problems. In a general Hilbert space setting, a convergence rate identity is obtained for the method of subspace corrections in terms of the subspace solvers. As an illustration, the new abstract theory is used to show uniform convergence of a multigrid method applied to the solution of the Laplace equation with pure Neumann boundary conditions.

• 出版日期2008
• 单位北京大学