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Selected Extensions of the Albegraic System Octave
Salač, Radek ; Smrčka, Aleš (referee) ; Vojnar, Tomáš (advisor)
This work deals with issues linked to solving system of linear equations in the environment of numerical computer. It describes the fundamental algorithms emphasizing their positive as well as negative sides. The work is devoted to general issues such as time complexity and memory demandingness of given algorithms. In the last part, the process of implementation of selected procedures into the algebraic system Octave is described.
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Evaluation of effectiveness of destress coal blasting fro stress release
Koníček, Petr ; Przeczek, A.
Destress blasting in the coal seam are important active rockbursts measures in conditions of Czech part of the Upper Silesian Coal Basin. Destress coal blasting involves regularly setting off carefully tailored blasts in the fractured coal immediately ahead of a mining face, so as to encourage slip on pre-existing fractures, in order not to allow the accumulation of high strain energy density in the rock mass. In some cases high stress in coal seams (or surrounded rocks) can be reduced. In cases that we demands high stress release we evaluates effect of stress release. Evaluation of stress release is carried out the same procedure without difference between destress blasting in rock and in the coal seam. Paper describes the first analysis of destress blasting in coal seams realised in period 2008 – 2010 (source of seismological databases, about 1200 data). The result of analysis shows of necessity of separate system of stress release evaluation by destress blasting in coal seams and rocks.
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Metoda sdružených gradientů
Segeth, Karel
The endeavour to solve systems of linear algebraic systems is already two thousand years old. In the paper we consider the conjugate gradient method that is (theoretically) finite but, in practice, it can be treated as an iterative method. We survey a known modification of the method, the preconditioned conjugate gradient method, that may converge faster than the original one.
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Iterační řešení soustav sedlového bodu: stručný přehled
Rozložník, Miroslav
In this contribution we attempt to review recent advances in the field of iterative methods for solving large saddle point problems. The main focus is on developments in the area of Krylov subspace methods and block preconditioning techniques for symmetric and nonsymmetric linear systems that arise in the context of solving the saddle point problems.
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