Detail publikačního výsledku

Matlab Programs for Matrix Exponential Function Derivative Evaluation

BRANČÍK, L.

Originální název

Matlab Programs for Matrix Exponential Function Derivative Evaluation

Anglický název

Matlab Programs for Matrix Exponential Function Derivative Evaluation

Druh

Stať ve sborníku v databázi WoS či Scopus

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.

Anglický 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

Klíčová slova v angličtině

matrix exponential function, derivative, Taylor series, eigenvalue, convolution integral, Laplace transform, Padé approximation, Matlab

Autoři

BRANČÍK, L.

Rok RIV

2010

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"
}