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BRANČÍK, L.
Originální název
Matlab Programs for Matrix Exponential Function Derivative Evaluation
Typ
článek ve sborníku ve WoS nebo Scopus
Jazyk
angličtina
Originální abstrakt
The paper deals with six approaches how to determine a derivative of the matrix exponential function in the Matlab language environment. Namely, a Taylor series expansion, an augmented matrix utilization, an eigenvalues decomposition, a Laplace transform approach, a convolution integral evaluation and a Padé approximation method are discussed in the paper. Some of the above methods are connected with a scaling and squaring process to improve the stability. Besides, possible Matlab listings are shown at each method as well.
Klíčová slova
matrix exponential function, derivative, Taylor series, eigenvalue, convolution integral, Laplace transform, Padé approximation, Matlab
Autoři
Rok RIV
2008
Vydáno
11. 11. 2008
Nakladatel
Humusoft, s.r.o.
Místo
Praha
ISBN
978-80-7080-692-0
Kniha
Technical Computing Prague 2008, 16th Annual Conference Proceedings
Strany od
17
Strany do
24
Strany počet
8
BibTex
@inproceedings{BUT27244, author="Lubomír {Brančík}", title="Matlab Programs for Matrix Exponential Function Derivative Evaluation", booktitle="Technical Computing Prague 2008, 16th Annual Conference Proceedings", year="2008", pages="17--24", publisher="Humusoft, s.r.o.", address="Praha", isbn="978-80-7080-692-0" }