We analyze multiplicative Schwarz methods through the additive Schwarz theory. As a by-product we recover the Xu-Zikatanov identity for the norm of product operators. This extends earlier work by the author on multiplicative Schwarz methods that use symmetric positive definite solvers for the subspace corrections
The convergence of additive and multiplicative Schwarz methods for computing certain characteristics...
A new Schwarz method for nonlinear systems is presented, constituting the multiplicative variant of...
Abstract. A preconditioning theory is presented which establishes sucient conditions for mul-tiplica...
We present an analysis of multiplicative Schwarz methods for symmetric positive definite problems th...
More than 100 years ago, H. A. Schwarz formulated a method to prove the existence of harmonic funct...
The convergence of multiplicative Schwarz-type methods for solving linear systems when the coefficie...
Weighted max-norm bounds are obtained for Algebraic Additive Schwarz Iterations with overlapping blo...
In this paper, we consider some additive Schwarz methods for solving the finite-dimensional nonlinea...
The classical convergence result for the additive Schwarz preconditioner with coarse grid is based o...
A preconditioning theory is presented which establishes suficient conditions for multiplicative and ...
The classical convergence result for the additive Schwarz preconditioner with coarse grid ...
AbstractIn recent years, an algebraic framework was introduced for the analysis of convergence of Sc...
framework of convergence analysis for additive preconditioners This section is devoted to the abstr...
AbstractThe convergence of additive and multiplicative Schwarz methods for computing certain charact...
Abstract. The classical convergence result for the additive Schwarz preconditioner with coarse grid ...
The convergence of additive and multiplicative Schwarz methods for computing certain characteristics...
A new Schwarz method for nonlinear systems is presented, constituting the multiplicative variant of...
Abstract. A preconditioning theory is presented which establishes sucient conditions for mul-tiplica...
We present an analysis of multiplicative Schwarz methods for symmetric positive definite problems th...
More than 100 years ago, H. A. Schwarz formulated a method to prove the existence of harmonic funct...
The convergence of multiplicative Schwarz-type methods for solving linear systems when the coefficie...
Weighted max-norm bounds are obtained for Algebraic Additive Schwarz Iterations with overlapping blo...
In this paper, we consider some additive Schwarz methods for solving the finite-dimensional nonlinea...
The classical convergence result for the additive Schwarz preconditioner with coarse grid is based o...
A preconditioning theory is presented which establishes suficient conditions for multiplicative and ...
The classical convergence result for the additive Schwarz preconditioner with coarse grid ...
AbstractIn recent years, an algebraic framework was introduced for the analysis of convergence of Sc...
framework of convergence analysis for additive preconditioners This section is devoted to the abstr...
AbstractThe convergence of additive and multiplicative Schwarz methods for computing certain charact...
Abstract. The classical convergence result for the additive Schwarz preconditioner with coarse grid ...
The convergence of additive and multiplicative Schwarz methods for computing certain characteristics...
A new Schwarz method for nonlinear systems is presented, constituting the multiplicative variant of...
Abstract. A preconditioning theory is presented which establishes sucient conditions for mul-tiplica...