Publication detail

Matlab Programs for Matrix Exponential Function Derivative Evaluation

BRANČÍK, L.

Original Title

Matlab Programs for Matrix Exponential Function Derivative Evaluation

English Title

Matlab Programs for Matrix Exponential Function Derivative Evaluation

Type

conference paper

Language

en

Original Abstract

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.

English abstract

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.

Keywords

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

RIV year

2008

Released

11.11.2008

Publisher

Humusoft, s.r.o.

Location

Praha

ISBN

978-80-7080-692-0

Book

Technical Computing Prague 2008, 16th Annual Conference Proceedings

Pages from

17

Pages to

24

Pages count

8

BibTex


@inproceedings{BUT27244,
  author="Lubomír {Brančík}",
  title="Matlab Programs for Matrix Exponential Function Derivative Evaluation",
  annote="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.",
  address="Humusoft, s.r.o.",
  booktitle="Technical Computing Prague 2008, 16th Annual Conference Proceedings",
  chapter="27244",
  howpublished="electronic, physical medium",
  institution="Humusoft, s.r.o.",
  year="2008",
  month="november",
  pages="17--24",
  publisher="Humusoft, s.r.o.",
  type="conference paper"
}