Tchebyshev Acceleration Technique for Large Scale Nonsymmetric Matrices.
Teoría de sistemas de infinitas ecuaciones lineales y programación semi-infinita.
Testing the method of multiple scales and the averaging principle for model parameter estimation of quasiperiodic two time-scale models
Some dynamical systems are characterized by more than one time-scale, e.g. two well separated time-scales are typical for quasiperiodic systems. The aim of this paper is to show how singular perturbation methods based on the slow-fast decomposition can serve for an enhanced parameter estimation when the slowly changing features are rigorously treated. Although the ultimate goal is to reduce the standard error for the estimated parameters, here we test two methods for numerical approximations of...
The AB-algorithm and its properties
The Analysis of a Nested Dissection Algorithm.
The Analysis of k-Step Iterative Methods for Linear Systems from Summability Theory
The analytic SVD: on the non-generic points on the path.
The anti-symmetric ortho-symmetric solutions of the matrix equation XA=D.
The Bauer Fields of Values of a Matrix.
The Chebyshev Solution of Certain Matrix Equations.
The Chebyshev Solution of the Linear Matrix Equation AX + YB = C.
The combination technique for a two-dimensional convection-diffusion problem with exponential layers
Convection-diffusion problems posed on the unit square and with solutions displaying exponential layers are solved using a sparse grid Galerkin finite element method with Shishkin meshes. Writing for the maximum number of mesh intervals in each coordinate direction, our “combination” method simply adds or subtracts solutions that have been computed by the Galerkin FEM on , and meshes. It is shown that the combination FEM yields (up to a factor ) the same order of accuracy in the associated...
The Contraction Number of a Multigrid Method for Solving the Poisson Equation.
The convergence of a new method for calculating lower bounds to eigenvalues
The Convergence of Inexact Chebyshev and Richardson Iterative Methods for Solving Linear Systems.
The Convergence of the Method of Conjugate Gradients at Isolated Extreme Points of the Spectrum.
The Convergence rate and Complexity of Precondotioned Iterative methods based on Approximate finite Element matrix Factorization
The convergence rate of the Chebyshev semiiterative method under a perturbation of the foci of an elliptic domain.
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.