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Programy a algoritmy numerické matematiky 13
Chleboun, Jan ; Segeth, Karel ; Vejchodský, Tomáš
The book contains papers presented at the international conference Programs and Algorithms of Numerical Mathematics 13(PANM 13) held in Prague, Czech Republic, May 28-31, 2006, in honor of Ivo Babuska´s 80th birthday. It is the thirteenth volume in the series of the PANM proceedings. The topics of contributions include numerical methods for fluid flow modelling, the finite element method, a posteriori error estimates, topics from numerical linear algebra, etc.
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K Sandia problému mechaniky konstrukcí
Chleboun, Jan
A structural mechanics problem with uncertain modulus of elasticity is considered. A displacement in a loaded frame is to be predicted on the basis of a limited number of measurements of the modulus. This contribution estimates the displacement under the assumption of uniformly distributed random variables related to the measured values.
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Metoda vnitřních bodů pro velkou řídkou l1 optimalizaci
Lukšan, Ladislav ; Matonoha, Ctirad ; Vlček, Jan
In this paper, we propose an interior-point method for large sparse l1 optimization. After a short introduction, the complete algorithm is introduced and some implementation details are given. We prove that this algorithm is globally convergent under standard mild assumptions. Thus relatively difficult l1 optimization problems can be solved successfully. The results of computational experiments given in this paper confirm efficiency and robustness of the proposed method
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