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Vector calculations using the x86 processors family

100%

Raczyński D.

tom z. 63

49-50

The purpose of this article is to present basic features of vector extensions introduced in the x86 family of processors. In order to compare the speed of programs using the vector extensions with those using scalar data, a few programs are developed, in particular programs performing operations on graphical BMP files, counting the indicated integral using the rectangles method and generating fractals.

A Comparison of Methods for Calculation of Transformation Matrices for Model Order Reduction Using GPU Parallel Computing

100%

Raczyński D.

tom z. 69

91--92

The purpose of this paper is to compare execution times for developed programs for determining transformation matrices in model order reduction using the balanced realization method. Six popular methods are implemented, named the: RPR, SR, BFSR, EIG-SR, EIGBFSR and Obinata-Anderson method. Each algorithm is prepared in two versions, one for execution on the main processor (CPU), and the other one for execution on graphics processor (GPU).

Frequency-weighted model order reduction combined with the model decomposition

63%

Raczyński D. , Stanisławski W.

tom Vol. 11, nr 1

3--12

Physical objects, in practice, are frequently represented by the LTI (Linear Time Invariant) models consisting of linear differential equations with constant coefficients. The LTI models of complex objects often have a large size. Designing a control system or performing a realtime object simulation on large-scale models may not be possible. Model Order Reduction (MOR) is an operation performed to reduce the size of a model with retaining its most important features. In the case where the reduced model has to approximate the frequency characteristics of the original model within the given range of adequacy, the Frequency-Weighted (FW) method should be used. The FW method requires to select the appropriate parameters of the input and / or output filters in order to obtain the best results. This selection is not an unique operation - which means that it is advisable to use an evolutionary algorithm that performs multiple reduction operations to match the relevant parameters. It is possible to reduce the computational complexity of the FW reduction process by decomposing the model into parts. The purpose of the paper is to compare the Frequency-Weighted order reduction combined with a various model decompositions based on the Schur complement, Schur and the Schur-Sylvester methods. The research is conducted on linearized models of the one-phase zone of the evaporator of the once-through steam BP-1150 boiler. The stability and accuracy of the reduced models are analyzed.