Numerical Solution of Eigentuple-Eigen vector Problems in Hilbert Spaces by a Gradient Method.
Numerical Solution of Linear Equations with Toeplitz and Vector Toeplitz Matrices.
Numerical Stability of Decent Methods for Solving Linear Equations.
Numerical Stability of the Chebyshev Method for the Solution of Large Linear Systems.
Numerical stability of the cyclic Richardson iteration.
Numerical study of two sparse AMG-methods
A sparse algebraic multigrid method is studied as a cheap and accurate way to compute approximations of Schur complements of matrices arising from the discretization of some symmetric and positive definite partial differential operators. The construction of such a multigrid is discussed and numerical experiments are used to verify the properties of the method.
Numerical Study of Two Sparse AMG-methods
A sparse algebraic multigrid method is studied as a cheap and accurate way to compute approximations of Schur complements of matrices arising from the discretization of some symmetric and positive definite partial differential operators. The construction of such a multigrid is discussed and numerical experiments are used to verify the properties of the method.
Numerically stable algorithm for pole assignment of linear single-input systems
Numerické metody a počítače
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.