Numerical Methods and Statistics
| Language of instruction | angličtina, čeština |
|---|---|
| Code | 714-0552 |
| Abbreviation | NMaS |
| Course title | Numerical Methods and Statistics |
| Coordinating department | Department of Mathematics and Descriptive Geometry |
| Course coordinator | prof. RNDr. Radek Kučera, Ph.D. |
Summary
Basic problems of the numerical mathematics, errors in computations. Solving of
equation f(x)=0: bisection method, regula-falsi, iterative method, Newton´s
iteration. Numerical solution of systems of linear algebraic equations: LU-factorization, iterative methods, condition number of matrix, ill-conditioned matrices. Interpolation and approximation of functions: polynomial interpolation, interpolation by spline functions, least squares approximation. Numerical integration: Trapezoid rule, Simpson’s rule, Richardson extrapolation. Statistical processing data
with one or more arguments, empirical characteristics of statistical data, testing of hypotheses.
Regression analysis.
equation f(x)=0: bisection method, regula-falsi, iterative method, Newton´s
iteration. Numerical solution of systems of linear algebraic equations: LU-factorization, iterative methods, condition number of matrix, ill-conditioned matrices. Interpolation and approximation of functions: polynomial interpolation, interpolation by spline functions, least squares approximation. Numerical integration: Trapezoid rule, Simpson’s rule, Richardson extrapolation. Statistical processing data
with one or more arguments, empirical characteristics of statistical data, testing of hypotheses.
Regression analysis.
Literature
1. Boháč, Zdeněk: Numerical Methods and Statistics, VŠB – TUO, Ostrava 2005, ISBN 80-248-0803-X
Advised literature
1. Forsythe, G., E., Malcolm, M.,A., Moler, B., C.: Computer Methods for
Mathematical Computations. Prentice –Hall, Inc., Englewood Clifs, N.J. 07632, 1977.
2. Buchanan, J., L., Turner, P., R.: Numerical Method and Analysis. McGraw-Hill, Inc., New York, 1992.
3. Stoer, J., Burlish, R.: Introduction to Numerical Analysis. Springer-Verlag,
New York, Berlin, Heidelberg, 1992.
Mathematical Computations. Prentice –Hall, Inc., Englewood Clifs, N.J. 07632, 1977.
2. Buchanan, J., L., Turner, P., R.: Numerical Method and Analysis. McGraw-Hill, Inc., New York, 1992.
3. Stoer, J., Burlish, R.: Introduction to Numerical Analysis. Springer-Verlag,
New York, Berlin, Heidelberg, 1992.