Numerické aproximace maticových funkcí
Thesis title in Czech: | Numerické aproximace maticových funkcí |
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Thesis title in English: | Numerical approximations of matrix functions |
Academic year of topic announcement: | 2008/2009 |
Thesis type: | Bachelor's thesis |
Thesis language: | čeština |
Department: | Department of Numerical Mathematics (32-KNM) |
Supervisor: | doc. RNDr. Iveta Hnětynková, Ph.D. |
Author: | hidden - assigned and confirmed by the Study Dept. |
Date of registration: | 05.11.2008 |
Date of assignment: | 05.11.2008 |
Date and time of defence: | 11.09.2009 00:00 |
Date of electronic submission: | 11.09.2009 |
Date of proceeded defence: | 11.09.2009 |
Opponents: | prof. Ing. Zdeněk Strakoš, DrSc. |
Guidelines |
Práce bude zaměřena na studium numerických metod pro výpočet aproximace maticových funkcí. Vybrané metody budou naprogramovány v jazyce Matlab a otestovány na numerických experimentech. |
References |
P. I. Davies, N. J. Higham: Computing f(A)b for matrix functions f, QCD and numerical analysis III, Lect. Notes Comput. Sci. Eng. 47, Springer, Berlin (2005), pp. 15-24.
J. Duintjer Tebbens, I. Hnětynková: Computations with square roots and exponentials of close to complex symmetric toeplitz matrices, in preparation. A. Frommer, V. Simoncini: Matrix functions, in preparation. N. J. Higham: Functions of Matrices: Theory and Computation, SIAM (2008). C. Moler, C. V. Loan: Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later, SIAM Review 45 (2003), pp. 3-49. |
Preliminary scope of work |
Cílem práce je získat ucelený přehled o numerických metodách pro aproximaci maticových funkcí. |
Preliminary scope of work in English |
The goal is to study numerical methods for computation of approximations to matrix functions. |