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.
On the preconditioned biconjugate gradients for solving linear complex equations arising from finite elements
The paper analyses the biconjugate gradient algorithm and its preconditioned version for solving large systems of linear algebraic equations with nonsingular sparse complex matrices. Special emphasis is laid on symmetric matrices arising from discretization of complex partial differential equations by the finite element method.
On the subspace projected approximate matrix method
We provide a comparative study of the Subspace Projected Approximate Matrix method, abbreviated SPAM, which is a fairly recent iterative method of computing a few eigenvalues of a Hermitian matrix . It falls in the category of inner-outer iteration methods and aims to reduce the costs of matrix-vector products with within its inner iteration. This is done by choosing an approximation of , and then, based on both and , to define a sequence of matrices that increasingly better approximate...
On the worst-case convergence of MR and CG for symmetric positive definite tridiagonal Toeplitz matrices.
On worst-case GMRES, ideal GMRES, and the polynomial numerical hull of a Jordan block.
One-sided simultaneous inequalities and sandwich theorems for diagonal similarity and diagonal equivalence of nonnegative matrices.
Optimally Conditioned Vandermonde Matrices.
Optimally Scaled Matrices, Necessary and Sufficient Conditions.
Perturbation analysis for eigenstructure assignment of linear multi-input systems.
Perturbations singulières des problèmes de point selle et préconditionnement du problème de Stokes
Piecewise bilinear preconditioning of high-order finite element method.
Poznámka ke kontrole řešení soustavy lineárních algebraických rovnic zpětnou substitucí