Obtaining bounds on the two norm of a matrix from the splitting lemma.
On a hierarchical basis multilevel method with nonconforming P1 elements.
On a parallel implementation of the mortar element method
On a Parallel Implementation of the Mortar Element Method
We discuss a parallel implementation of the domain decomposition method based on the macro-hybrid formulation of a second order elliptic equation and on an approximation by the mortar element method. The discretization leads to an algebraic saddle- point problem. An iterative method with a block- diagonal preconditioner is used for solving the saddle- point problem. A parallel implementation of the method is emphasized. Finally the results of numerical experiments are presented.
On additive scharz preconditioners for sparse grid discretizations.
On Asymptotically Best Norms for Powers of Operators.
On block diagonal and Schur complement preconditioning.
On Condition Numbers and the Distance to the Nearest Ill-posed Problem.
On generalized methods of the transfer of conditions
The methods of the transfer of conditions are generalized so that they also cover the direct methods leading to the diagonalization of the original matrix of a system with a band matrix. Part 3 is devoted to the numerical stability of methods of the transfer of conditions described in author's previous paper. Finally, it is shown how to obtain a particular method by the choice parameters of the general algorithm.
On parallel two-stage methods for Hermitian positive definite matrices with applications to preconditioning.
On perfect conditioning of Vandermonde matrices on the unit circle.
On preconditioning Schur complement and Schur complement preconditioning.
On the approximation numbers of large Toeplitz matrices.
On the Augmented System Approach to Sparse Least-Squares Problems.
On the Characterization of Least Upper Bound Norms in Matrix Space.
On the Condition Number of some Gram Matrices Arising from Least Squares Approximation in the Complex Plane.
On the convergence rate of the conjugate gradients in presence of rounding errors.
On the Eigenvalue Distribution of a Class of Preconditioning Methods.
On the Invariance of Perturbed Null Vectors Under Column Scaling.
On the Multi-Level Splitting of Finite Element Squares.