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An iterative method for symmetric positive semidefinite linear system of equations

Salkuyeh D. K.

Demonstratio Mathematica

2014

Vol. 47, nr 2

482--492

In this paper, a new two-step iterative method for solving symmetric positive semidefinite linear system of equations is presented. A sufficient condition for the semiconvergence of the method is also given. Some numerical experiments are presented to show the efficiency of the proposed method.

Analysis of linear mechanical structures with uncertainties by means of interval methods

Kulpa Z., Pownuk A., Skalna I.

Computer Assisted Mechanics and Engineering Sciences

1998

Vol. 5, nr 4

443-477

One of the simplest ways of representation of uncertain or inexact data, as well as inexact computations with them, is based on interval arithmetic. In this approach, an uncertain (real) number is represented by an interval (a continuous bounded subset) of real numbers which presumably contains the unknown exact value of the number in question. Despite its simplicity, it conforms very well to many practical situations, like tolerance handling or managing rounding errors in numerical computations. Also, the so-called alfa-cut method of handling fuzzy sets membership functions is based on replacing a fuzzy set problem with a set of interval problems.