Numerical Stability of the Chebyshev Method for the Solution of Large Linear Systems.
Numerical Stability for Solving Nonlinear Equations.
Round-Off Error Analysis of Iterations for Large Linear Systems.
Some remarks on Bairstow's method
Algorithm 4. Polynomial decomposition into quadratic factors with controlled accuracy by Bairstow's method
Modification of the alternating direction implicit method and connections with von Neumann's method
Tractability of multivariate problems for weighted spaces of functions
We survey recent results on tractability of multivariate problems. We mainly restrict ourselves to linear multivariate problems studied in the worst case setting. Typical examples include multivariate integration and function approximation for weighted spaces of smooth functions.
Analiza numeryczna algorytmów obliczania wartości wielomianów i ich pochodnych
The method of minimal B-errors for large systems of linear equations with an arbitrary matrix
The author introduces a minimal B-error algorithm for interative techniques in solving the matrix equation Ax+b=0 following the general concepts introduced by G. H. Golub and R. S. Varga (1961). (MR0468134 )
Optimal radius of convergence of interpolatory iterations for operator equations.
Computational complexity in numerical analysis
The authors state their objectives as follows. They wish to present to the Polish audience the main aspects of a modern approach to numerical methods based on the concept of computational complexity. Instead of looking for computational methods which compare favorably with other commonly used techniques, and "gradually'' improving numerical methods for solving a given set of problems, one could formulate an optimality criterion based on the cost of performing numerical computations and regard the...
Algorithmization of the me-T method
The authors introduce an algorithm combining the minimal error and the C̆ebyšev technique (the T-method) for solving equations of the form Ax+b=0, where x, b are vectors. A is an n×n matrix. A computer program is included as part of the article. (MR0448833)
Are linear algorithms always good for linear problems?
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