MATLAB: Does MATLAB 7.5 (R2007b) support Whittaker functions

Symbolic Math Toolboxwhittakerwhittakermwhittakerw

I would like to evaluate the Whittaker M and W functions.

Best Answer

Although MATLAB does not define the Whittaker M and W functions, they can be evaluated numerically using the Symbolic Math Toolbox. You may evaluate them with a syntax similar to

mfun('WhittakerM',1,1,[1 2 3])

which evaluates the Whittaker function M_1^1(x) at the points x = 1, 2, and 3.

More information about Whittaker functions may be found by evaluating the command

mhelp whittaker

at the MATLAB command prompt.

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MATLAB: Is it possible to use Maple functions using the Symbolic Math Toolbox in MATLAB 7.7 (R2008b)

Symbolic Math Toolbox 5.1 (R2008b) and higher use the MuPAD symbolic engine by default.

You can use the Maple engine with Symbolic Math Toolbox in R2008b through R2009b releases. To do so, you must have a compatible version of Maple software, available from Maplesoft®, installed on your computer.

For more information on changing the symbolic engine, consult the following page in the documentation reached by the following MATLAB command:

doc symengine

Choose the engine by entering SYMENGINE at the MATLAB command line:

symengine

Note that the SYMENGINE function allows you to change the symbolic engine in R2008b through R2009b releases. As of Symbolic Math Toolbox 5.4 (R2010a), MuPAD is the only supported symengine as stated below:

 <http://www.mathworks.com/help/symbolic/release-notes.html>

For more information on differences between MuPAD and Maple and other compatibility considerations, consult the release notes available at:

 <http://www.mathworks.com/access/helpdesk/help/toolbox/symbolic/rn/brqy13y-1.html#brqy3xk>

MATLAB: How to start the MDCE in MATLAB 7.5 (R2007b) or later versions

Below is a sample M-script for starting up 4 workers on a local machine with the MATLAB Distributed Computing Engine installed.

%%This document assumes you have successfully installed the MDCE Toolbox
%%Install the MDCE
cd([matlabroot '\toolbox\distcomp\bin'] or (matlabroot '\toolbox\parallel\bin')(R2019b & later)
!mdce install
%%Start the MDCE
!mdce start
%%Start the MDCE and prepare for Distributed processing
% If you would like to see the status of the workers as they run, please
% set this to true
STATUS = true;
% Start a Job Manager
% -name the name of the Job Manager
!startjobmanager -name my_jobmanager
% Start 4 workers using the previously defined Job Manager
% -name           name of the worker
% -jobmanager     name of the Job Manager
% -jobmanagerhost name of the machine the manager is running on
!startworker -name worker_1 -jobmanager my_jobmanager -jobmanagerhost localhost
!startworker -name worker_2 -jobmanager my_jobmanager -jobmanagerhost localhost
!startworker -name worker_3 -jobmanager my_jobmanager -jobmanagerhost localhost
!startworker -name worker_4 -jobmanager my_jobmanager -jobmanagerhost localhost
if STATUS
% Output the status of the workers as they are running
!nodestatus
end
%%Run your code
% After the above has been started, you can run your code
% When you are done running your code execute the below cells of code
% to cleanly shut down the Workers, Job Manager and MDCE
%%Stop all the Workers, Job Manager and the MDCE
cd([matlabroot '\toolbox\distcomp\bin'])
% Stop the 4 workers previously started
!stopworker -name worker_1 -jobmanager my_jobmanager
!stopworker -name worker_2 -jobmanager my_jobmanager
!stopworker -name worker_3 -jobmanager my_jobmanager
!stopworker -name worker_4 -jobmanager my_jobmanager
% Stop the Job Manager
!stopjobmanager -name my_jobmanager
%%Stop the MDCE
!mdce stop
%%Uninstall the MDCE
!mdce uninstall

Best Answer

Related Solutions

MATLAB: Is it possible to use Maple functions using the Symbolic Math Toolbox in MATLAB 7.7 (R2008b)

MATLAB: How to start the MDCE in MATLAB 7.5 (R2007b) or later versions

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