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Last update: T_KNM (28.03.2006)
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Last update: ZITKO/MFF.CUNI.CZ (25.04.2008)
Students learn the most modern methods for minimization of functionals and the solution of systems of nonlinear algebraic equations. |
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Last update: T_KNM (16.05.2008)
[1] Najzar. K., Zítko, J. : Numerické metody funkcionální analýzy I a II (Numerical methods in functional analysis I and II), SPN Praha 1987.
[2] Ortega, J. M., Rheinboldt W.C. : Iterative solution of nonlinear equations in several variables, Academic Press, New York and London 1970.
[3] Lukšan, L.: Metody s proměnnou metrikou (Variable metric methods), Academia Praha 1990.
[4] Lukšan, L.: Numerické optimalizační metody (Numerical optimization methods), Institute of Computer Science, Technical report No. 930 (262 pages), December 2005.
[5] Ralston, A. : Základy numerické matematiky, Academia Praha 1973 |
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Last update: ZITKO/MFF.CUNI.CZ (25.04.2008)
The course has a lecture and a tutorial each week in the auditorium during the whole semester. Tutorials are dedicated for the calculation of examples and short programs. Students cover preparing reports on assigned subjects. |
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Last update: ZITKO/MFF.CUNI.CZ (25.04.2008)
Examination of the lecture material at the end of a semester and a control of the assigned examples. |
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Last update: T_KNM (16.05.2008)
Lehmer-Schur method.
Variable metric methods. Detailed analysis of computational techniques. Global convergence of variable metric methods.
Trust region methods, global convergence, conditions for superlinear convergence. Trust region methods with optimal locally constrained step and the determination of the optimal locally constrained step. Inexact trust region method. Detailed computational algorithms.
Methods for solving system of nonlinear equations. |
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Last update: ZITKO/MFF.CUNI.CZ (25.04.2008)
Fundamental knowledges of mathematical analysis, algebra and programming. |