ExpSolve - Revision history

Elias at 12:10, 10 January 2012

2012-01-10T12:10:15Z

← Older revision		Revision as of 07:10, 10 January 2012
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	==Calling Syntax==		==Calling Syntax==

	<~~syntaxhighlight~~ lang="matlab">		<source lang="matlab">
	Prob = expAssign( ... );		Prob = expAssign( ... );
	Result = expSolve(Prob, PriLev); or		Result = expSolve(Prob, PriLev); or
	Result = tomRun('expSolve', PriLev);		Result = tomRun('expSolve', PriLev);
	</~~syntaxhighlight~~>		</source>

	==Inputs==		==Inputs==

Elias: /* Outputs */

2011-07-20T14:05:35Z

Outputs

← Older revision		Revision as of 09:05, 20 July 2011
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	{\| class="wikitable"		{\| class="wikitable"
	!Result\|\|TOMLAB Result structure as returned by solver selected by input argument ''Solver''.		!''Result''\|\|TOMLAB Result structure as returned by solver selected by input argument ''Solver''.
	\|-		\|-
	\|''LS''\|\|Statistical information about the solution. See [[TOMLAB Appendix B]].		\|''LS''\|\|Statistical information about the solution. See [[TOMLAB Appendix B]].

Elias: /* Outputs */

2011-07-20T14:05:22Z

Outputs

← Older revision		Revision as of 09:05, 20 July 2011
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	{\| class="wikitable"		{\| class="wikitable"
	\|Result\|\|TOMLAB Result structure as returned by solver selected by input argument ''Solver''.		!Result\|\|TOMLAB Result structure as returned by solver selected by input argument ''Solver''.
	\|-		\|-
	\|''LS''\|\|Statistical information about the solution. See [[TOMLAB Appendix B]].		\|''LS''\|\|Statistical information about the solution. See [[TOMLAB Appendix B]].

Elias: /* Inputs */

2011-07-20T14:05:09Z

Inputs

← Older revision		Revision as of 09:05, 20 July 2011
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	{\| class="wikitable"		{\| class="wikitable"
	\|''Prob''\|\|Problem created with expAssign.		!''Prob''\|\|Problem created with expAssign.
	\|-		\|-
	\|''PriLev''\|\|Print level in tomRun call.		\|''PriLev''\|\|Print level in tomRun call.

Elias at 07:38, 20 July 2011

2011-07-20T07:38:37Z

← Older revision		Revision as of 02:38, 20 July 2011
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	[[Category:Solvers]]		[[Category:Solvers]]
	~~{{cleanup\|Clean this article.}}~~

	~~==expSolve==~~

	==Purpose==		==Purpose==

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	==Calling Syntax==		==Calling Syntax==

			<syntaxhighlight lang="matlab">
	Prob = expAssign( ... );		Prob = expAssign( ... );

	Result = expSolve(Prob, PriLev); or		Result = expSolve(Prob, PriLev); or

	Result = tomRun('expSolve', PriLev);		Result = tomRun('expSolve', PriLev);
			</syntaxhighlight>

	==~~=Description of~~ Inputs===		==Inputs==

	{\|		{\| class="wikitable"
	\|''Prob''\|\|Problem created with expAssign.		\|''Prob''\|\|Problem created with expAssign.
	\|-		\|-
	\|''PriLev''\|\|Print level in tomRun call.		\|''PriLev''\|\|Print level in tomRun call.
	\|-		\|-
	''Prob.SolverL2''\|\|Name of solver to use. If empty, TOMLAB selects dependent on license.		\|''Prob.SolverL2''\|\|Name of solver to use. If empty, TOMLAB selects dependent on license.
	\|}		\|}

	==~~=Description of~~ Outputs===		==Outputs==

	{\|		{\| class="wikitable"
	\|Result ~~TOMLAB~~\|\|Result structure as returned by solver selected by input argument ''Solver''.		\|Result\|\|TOMLAB Result structure as returned by solver selected by input argument ''Solver''.
	\|-		\|-
	\|''LS''\|\|Statistical information about the solution. See ~~Table 153, page 239~~.		\|''LS''\|\|Statistical information about the solution. See [[TOMLAB Appendix B]].
	\|}		\|}

	~~'''Global Parameters Used'''~~

	==Description==		==Description==
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	''expSolve ''solves a '''cls '''(constrained least squares) problem for exponential fitting formulates by expAssign. The problem is solved with a suitable or given '''cls '''solver.		''expSolve ''solves a '''cls '''(constrained least squares) problem for exponential fitting formulates by expAssign. The problem is solved with a suitable or given '''cls '''solver.

	The aim is to provide a quicker interface to exponential fitting, automating the process of setting up the problem structure and getting statistical data.		The aim is to provide a quicker interface to exponential fitting, automating the process of setting up the problem structure and getting statistical data.

	==M-files Used==		==M-files Used==
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	</pre>		</pre>

	The <math>$x$</math> vector contains the parameters as <math>$x=[\beta_1,\beta_2,\alpha_1,\alpha_2]$</math> so the solution may be visualized with		The <math>x</math> vector contains the parameters as <math>x=[\beta_1,\beta_2,\alpha_1,\alpha_2]</math> so the solution may be visualized with

	<pre>		<pre>
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	</pre>		</pre>

	~~Figure 6~~: Results of fitting experimental data to two-term exponential model. Solid line: final model, dash-dot: data.		<figure id="fig:expData">
			[[File:Results of fitting experimental data to two-term exponential model.png\|thumb\|550px\|none\|alt=Results of fitting experimental data\|<caption>Results of fitting experimental data to two-term exponential model. Solid line: final model, dash-dot: data.</caption>]]
			</figure>

Elias at 12:19, 11 July 2011

2011-07-11T12:19:51Z

← Older revision		Revision as of 07:19, 11 July 2011
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			[[Category:Solvers]]
			{{cleanup\|Clean this article.}}

	==expSolve==		==expSolve==

Elias: Created page with "==expSolve== ==Purpose== Solve exponential fitting problems for given number of terms p. ==Calling Syntax== Prob = expAssign( ... ); Result = expSolve(Prob, PriLev); or R..."

2011-07-10T11:04:35Z

Created page with "==expSolve== ==Purpose== Solve exponential fitting problems for given number of terms p. ==Calling Syntax== Prob = expAssign( ... ); Result = expSolve(Prob, PriLev); or R..."

New page

==expSolve==

==Purpose==

Solve exponential fitting problems for given number of terms p.

==Calling Syntax==

Prob = expAssign( ... );

Result = expSolve(Prob, PriLev); or

Result = tomRun('expSolve', PriLev);

===Description of Inputs===

{|
|''Prob''||Problem created with expAssign.
|-
|''PriLev''||Print level in tomRun call.
|-
''Prob.SolverL2''||Name of solver to use. If empty, TOMLAB selects dependent on license.
|}

===Description of Outputs===

{|
|Result TOMLAB||Result structure as returned by solver selected by input argument ''Solver''.
|-
|''LS''||Statistical information about the solution. See Table 153, page 239.
|}

'''Global Parameters Used'''

==Description==

''expSolve ''solves a '''cls '''(constrained least squares) problem for exponential fitting formulates by expAssign. The problem is solved with a suitable or given '''cls '''solver.

The aim is to provide a quicker interface to exponential fitting, automating the process of setting up the problem structure and getting statistical data.

==M-files Used==

''GetSolver'', ''expInit'', ''StatLS ''and ''expAssign''

==Examples==

Assume that the Matlab vectors ''t'', ''y ''contain the following data:

<math>
\begin{array}{|r|rrrrrrrrr|}
t_i & 0 & 1.00 & 2.00 & 4.00 & 6.00 & 8.00 & 10.00 & 15.00 & 20.00\\y_i & 905.10 & 620.36 & 270.17 & 154.68 & 106.74 & 80.92 & 69.98 & 62.50 & 56.29\\
\end{array}
</math>

To set up and solve the problem of fitting the data to a two-term exponential model

<math>f(t) = \alpha_1 e^{-\beta_1 t} + \alpha_2 e^{-\beta_2 t}</math> ,

give the following commands:

<pre>
>> p = 2; % Two terms
>> Name = 'Simple two-term exp fit'; % Problem name, can be anything
>> wType = 0; % No weighting
>> SepAlg = 0; % Separable problem
>> Prob = expAssign(p,Name,t,y,wType,[],SepAlg);

>> Result = tomRun('expSolve',Prob,1);
>> x = Result.x_k'

x =
0.01 0.58 72.38 851.68
</pre>

The <math>$x$</math> vector contains the parameters as <math>$x=[\beta_1,\beta_2,\alpha_1,\alpha_2]$</math> so the solution may be visualized with

<pre>
>> plot(t,y,'-*', t,x(3)*exp(-t*x(1)) + x(4)*exp(-t*x(2)) );
</pre>

Figure 6: Results of fitting experimental data to two-term exponential model. Solid line: final model, dash-dot: data.