The Coordinex Problem and Its Relation to the Conjecture of Wilkinson.
The -stability problem for real matrices
We give detailed discussion of a procedure for determining the robust -stability of a real matrix. The procedure begins from the Hurwitz stability criterion. The procedure is applied to two numerical examples.
The Drazin inverse in multibody system dynamics.
The Economical Storage of Plane Rotations.
The eigenvalue problem and Jacobean-like methods for its solution
The eigenvalues of Hermite and rational spectral differentiation matrices.
The extrapolated successive overrelaxation (ESOR) method for consistently ordered matrices.
The frequency decomposition multi-grid method. II. Convergence analysis based on the additive Schwarz method.
The Frequency Decomposition Multi-Grid Method. Part I: Application to Anisotropic Equations.
The General Neville-Aitken-Algorithm and Some Applications.
The Hierarchical Basis Multigrid Method.
The interplay between classical analysis and (numerical) linear algebra -- a tribute to Gene H. Golub.
The inversion of cyclic tridiagonal matrices
The Method of Coordinate Overrelaxation for (A Â? ... B) x = 0 .
The method of fictitious right-hand sides
The paper deals with the application of a fast algorithm for the solution of finite-difference systems for boundary-value problems on a standard domain (e.g. on a rectangle) to the solution of a boundary-value problem on a domain of general shape contained in the standard domain. A simple iterative procedure is suggested for the determination of fictitious right-hand sides for the system on the standard domain so that its solution is the desired one. Under the assumptions that are usual for matrices...
The minimum-norm least-squares solution of a linear system and symmetric rank-one updates.
The Neumann-Dirichlet Domain Decomposition Method with Inexact Solvers on the Subdomains.
The numerical solution of large finite element systems by explicit preconditioning semi-direct methods
The Numerically Stable Reconstruction of Jacobi Matrices from Spectral Data.
The Ordering of Tridiagonal Matrices in the Cyclic Reduction Method for Poisson's Equation.