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The Applications of the Cholesky decomposition Teodora Aleksi ć, 391/2012.

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Presentation on theme: "The Applications of the Cholesky decomposition Teodora Aleksi ć, 391/2012."— Presentation transcript:

1 The Applications of the Cholesky decomposition Teodora Aleksi ć, 391/2012

2 Linear least squares ◎ Polynomial fitting and numerical smoothing and differentiation ◎ Multinomials, including surface fitting ◎ Curve fitting with B-splines ◎ Chemometrics, calibration curve, standard addition, Gran plot, analysis of mixtures 2/6

3 Non-linear optimization ◎ Modern engineering ◎ Experimental science ◎ Constructing computational models and decision making in subsurface oil and gas reservoir projects 3/6

4 Monte Carlo simulation ◎ Physical sciences ◎ Engineering ◎ Computational biology ◎ Computer graphics ◎ Applied statistics ◎ Artificial intelligence for games ◎ Finance and business 4/6

5 Kalman filters ◎ Economics ◎ Nuclear medicine ◎ Satellite navigation systems ◎ Seismology ◎ Weather forecasting ◎ Navigation system ◎ 3D modeling 5/6

6 Matrix inversion ◎ Regression/least squares ◎ Real-time simulations ◎ MIMO wireless communication ◎ Analysis of data ◎ Cryptography 6/6


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