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About: Matrix Exponential

Module by: Thanos Antoulas, JP Slavinsky

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Name: Matrix Exponential
ID: m2112
Language: English (en)
Summary: A formal description of the matrix exponential. The definition is given as well as examples of calculating it. The matrix exponential in the frequency domain is given as well through treatment by the Laplace transform.
Subject: Mathematics and Statistics, Science and Technology
Keywords: Laplace transform, matrix, matrix exponential, system
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License (CC-BY 1.0)

Authors: Thanos Antoulas (aca@rice.edu), JP Slavinsky (jps@alumni.rice.edu)
Copyright Holders: Thanos Antoulas (aca@rice.edu), JP Slavinsky (jps@alumni.rice.edu)
Maintainers: JP Slavinsky (jps@alumni.rice.edu), Thanos Antoulas (aca@rice.edu), Roy Ha (rha@alumni.rice.edu), Elizabeth Chan (lizychan@rice.edu)

Version: 2.10 (history)
Created: Feb 7, 2001 12:00 am US/Central
Revised: Nov 19, 2003 8:11 pm US/Central

Version History

Version: 2.10 Nov 19, 2003 8:11 pm US/Central by Erin Maloney
Changes:
cnxml 0.5-- is there a fn for inverse laplace?

Version: 2.9 Oct 24, 2002 12:00 am GMT-5 by (Unknown)
Changes:
update for author

Version: 2.8 Oct 9, 2002 12:00 am GMT-5 by (Unknown)
Changes:
added author

Version: 2.7 May 24, 2002 12:00 am GMT-5 by (Unknown)
Changes:
Fixing the following problems:
1> using MathML for simple variables.
2> using <m:ci>-A</m:ci> instead of <m:apply><m:minus><m:ci>A</m:ci></m:apply>
3> using func for Laplace transfrom
4> using hard code for the reference of equations
Liqun

Version: 2.6 Apr 5, 2002 12:00 am US/Central by (Unknown)
Changes:
added an honorific tag and checked for best practices

Version: 2.5 Jan 9, 2002 12:00 am US/Central by (Unknown)
Changes:
used Emacs to indent source code

Version: 2.4 Nov 8, 2001 12:00 am US/Central by (Unknown)
Changes:
updated this module from 0.3 to 0.3.5 by adding the metadata tags and corrected anything else that caused trouble to converting this module into pdf file

Version: 2.3 Jun 6, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Math correction

Version: 2.2 Jun 6, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Updated to cnxml 0.3

Version: 2.1 Jun 4, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Sample text

Version: 2.0 Feb 7, 2001 12:00 am US/Central by Brent Hendricks
Changes:
Bumped version to 2.0

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American Chemical Society (ACS) Style Guide:

Antoulas, T.; Slavinsky, J. Matrix Exponential, Connexions Web site. http://cnx.org/content/m2112/2.10/, Nov 19, 2003.

American Medical Assocation (AMA) Manual of Style:

Antoulas T, Slavinsky J. Matrix Exponential [Connexions Web site]. November 19, 2003. Available at: http://cnx.org/content/m2112/2.10/.

American Psychological Assocation (APA) Publication Manual:

Antoulas, T., & Slavinsky, J. (2003, November 19). Matrix Exponential. Retrieved from the Connexions Web site: http://cnx.org/content/m2112/2.10/

Chicago Manual of Style (Bibliography):

Antoulas, Thanos, and John Slavinsky. "Matrix Exponential." Connexions. November 19, 2003. http://cnx.org/content/m2112/2.10/.

Chicago Manual of Style (Note):

Thanos Antoulas and John Slavinsky, "Matrix Exponential," Connexions, November 19, 2003, http://cnx.org/content/m2112/2.10/.

Chicago Manual of Style (Reference, in Author-Date style):

Antoulas, T., & Slavinsky, J. 2003. Matrix Exponential. Connexions, November 19, 2003. http://cnx.org/content/m2112/2.10/.

Modern Languages Association (MLA) Style Manual:

Antoulas, Thanos, and John Slavinsky. Matrix Exponential. Connexions. 19 Nov. 2003 <http://cnx.org/content/m2112/2.10/>.