Obere Schranken für Eigenwerte von Eigenwertaufgaben der Form (...2 I Â?...A Â? B) x = 0 . - Upper Bounds for Eigenvalues of Quadratic Eigenvalue Problem.
Oblique projection methods for linear systems with multiple right-hand sides.
Obtaining bounds on the two norm of a matrix from the splitting lemma.
On a Class of Chebyshev Approximation Problems Which Arise in Connection with a Conjugate Gradient Type Method.
On a Class of Jacobi-Like Procedures for Diagonalising Arbitrary Real Matrices.
On a class of matrices which arise in the numerical solution of Euler equations.
On a class of nonlinear eigenvalue problems
On a construction of fast direct solvers
Fast direct solvers for the Poisson equation with homogeneous Dirichlet and Neumann boundary conditions on special triangles and tetrahedra are constructed. The domain given is extended by symmetrization or skew symmetrization onto a rectangle or a rectangular parallelepiped and a fast direct solver is used there. All extendable domains are found. Eigenproblems are also considered.
On a devil’s staircase associated to the joint spectral radii of a family of pairs of matrices
The joint spectral radius of a finite set of real matrices is defined to be the maximum possible exponential rate of growth of products of matrices drawn from that set. In previous work with K. G. Hare and J. Theys we showed that for a certain one-parameter family of pairs of matrices, this maximum possible rate of growth is attained along Sturmian sequences with a certain characteristic ratio which depends continuously upon the parameter. In this note we answer some open questions from that paper...
On a direct method for the solution of nearly uncoupled Markov chains.
On a hierarchical basis multilevel method with nonconforming P1 elements.
On a Lyapunov type equation related to parabolic spectral dichotomy.
On a method of D. Marsal for equations with positive operators
On a modified Kovarik algorithm for symmetric matrices.
On a multilevel Krylov method for the Helmholtz equation preconditioned by shifted Laplacian.
On a New Class of Elementary Matrices.
On a non-stagnation condition for GMRES and application to saddle point matrices.
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 a Theorem of Stein-Rosenberg Type in Interval Analysis.