Tfmin - Revision history

Elias at 12:07, 10 January 2012

2012-01-10T12:07:16Z

← Older revision		Revision as of 08:07, 10 January 2012
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	==Calling Syntax==		==Calling Syntax==

	<~~syntaxhighlight~~ lang="matlab">		<source lang="matlab">
	[x, nFunc] = Tfmin(Func, x_L, x_U, xTol, Prob)		[x, nFunc] = Tfmin(Func, x_L, x_U, xTol, Prob)
	</~~syntaxhighlight~~>		</source>

	==Inputs==		==Inputs==

Elias at 13:10, 21 July 2011

2011-07-21T13:10:31Z

← Older revision		Revision as of 09:10, 21 July 2011
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	[[Category:Solvers]]		[[Category:Solvers]]
	~~{{cleanup\|Clean this article.}}~~

	==Purpose==		==Purpose==

	Minimize function of one variable. Find miniumum x in [x_L, x_U] for function Func within tolerance xTol. Solves using Brents minimization algorithm~~. Reference: "Computer Methods for Mathematical Computations", Forsythe, Malcolm, and Moler, Prentice-Hall, 1976~~.		Minimize function of one variable. Find miniumum x in [x_L, x_U] for function Func within tolerance xTol. Solves using Brents minimization algorithm.

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

			<syntaxhighlight lang="matlab">
	[x, nFunc] = Tfmin(Func, x_L, x_U, xTol, Prob)		[x, nFunc] = Tfmin(Func, x_L, x_U, xTol, Prob)
			</syntaxhighlight>

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

	{\|		{\| class="wikitable"
	\|''Variable''\|\|Description		!''Variable''\|\|Description
	\|-		\|-valign="top"
	\|''Func''\|\|Function of x to be minimized. Func must be defined as:		\|''Func''\|\|Function of x to be minimized. Func must be defined as:
	\|-
	~~\|\|\|~~f = Func(x) if no 5th argument Prob is given or		f = Func(x) if no 5th argument Prob is given or
	\|-
	~~\|\|\|~~f = Func(x, Prob) if 5th argument Prob is given.		f = Func(x, Prob) if 5th argument Prob is given.
	\|-		\|-
	\|''x_L''\|\|Lower bound on x.		\|''x_L''\|\|Lower bound on x.
Line 28:		Line 29:
	\|-valign="top"		\|-valign="top"
	\|''Prob''\|\|Structure (or any Matlab variable) sent to Func. If many parameters are to be sent to Func set them in Prob as a structure. Example for parameters a and b:		\|''Prob''\|\|Structure (or any Matlab variable) sent to Func. If many parameters are to be sent to Func set them in Prob as a structure. Example for parameters a and b:
	\|-
	~~\|\|\|~~Prob.user.a = a; Prob.user.b = b;		Prob.user.a = a; Prob.user.b = b;
	\|-
	~~\|\|\|~~[x, nFunc] = Tfmin('myFunc',0,1,1E-5,Prob); In myFunc:		[x, nFunc] = Tfmin('myFunc',0,1,1E-5,Prob);
	\|-
	~~\|\|\|~~function f = myFunc(x, Prob)		In myFunc:
	\|-
	~~\|\|\|~~a = Prob.user.a;		function f = myFunc(x, Prob)
	\|-
	~~\|\|\|~~b = Prob.user.b;		a = Prob.user.a;
	\|-
	~~\|\|\|~~f = "matlab expression dependent of x, a and b";		b = Prob.user.b;

			f = "matlab expression dependent of x, a and b";
	\|}		\|}

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

	{\|		{\| class="wikitable"
	\|''Variable''\|\|Description		!''Variable''\|\|Description
	\|-		\|-
	\|''x''\|\|Solution.		\|''x''\|\|Solution.

Elias at 12:23, 11 July 2011

2011-07-11T12:23:57Z

← Older revision		Revision as of 08:23, 11 July 2011
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			[[Category:Solvers]]
			{{cleanup\|Clean this article.}}

	==Purpose==		==Purpose==

Elias at 12:03, 11 July 2011

2011-07-11T12:03:37Z

← Older revision		Revision as of 08:03, 11 July 2011
Line 2:		Line 2:

	Minimize function of one variable. Find miniumum x in [x_L, x_U] for function Func within tolerance xTol. Solves using Brents minimization algorithm. Reference: "Computer Methods for Mathematical Computations", Forsythe, Malcolm, and Moler, Prentice-Hall, 1976.		Minimize function of one variable. Find miniumum x in [x_L, x_U] for function Func within tolerance xTol. Solves using Brents minimization algorithm. Reference: "Computer Methods for Mathematical Computations", Forsythe, Malcolm, and Moler, Prentice-Hall, 1976.


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

Elias: Created page with "==Purpose== Minimize function of one variable. Find miniumum x in [x_L, x_U] for function Func within tolerance xTol. Solves using Brents minimization algorithm. Reference: "Co..."

2011-07-11T12:03:25Z

Created page with "==Purpose== Minimize function of one variable. Find miniumum x in [x_L, x_U] for function Func within tolerance xTol. Solves using Brents minimization algorithm. Reference: "Co..."

New page

==Purpose==

Minimize function of one variable. Find miniumum x in [x_L, x_U] for function Func within tolerance xTol. Solves using Brents minimization algorithm. Reference: "Computer Methods for Mathematical Computations", Forsythe, Malcolm, and Moler, Prentice-Hall, 1976.

==Calling Syntax==

[x, nFunc] = Tfmin(Func, x_L, x_U, xTol, Prob)

===Description of Inputs===

{|
|''Variable''||Description
|-
|''Func''||Function of x to be minimized. Func must be defined as:
|-
|||f = Func(x) if no 5th argument Prob is given or
|-
|||f = Func(x, Prob) if 5th argument Prob is given.
|-
|''x_L''||Lower bound on x.
|-
|''x_U''||Upper bound on x.
|-
|''xTol''||Tolerance on accuracy of minimum.
|-valign="top"
|''Prob''||Structure (or any Matlab variable) sent to Func. If many parameters are to be sent to Func set them in Prob as a structure. Example for parameters a and b:
|-
|||Prob.user.a = a; Prob.user.b = b;
|-
|||[x, nFunc] = Tfmin('myFunc',0,1,1E-5,Prob); In myFunc:
|-
|||function f = myFunc(x, Prob)
|-
|||a = Prob.user.a;
|-
|||b = Prob.user.b;
|-
|||f = "matlab expression dependent of x, a and b";
|}

===Description of Outputs===

{|
|''Variable''||Description
|-
|''x''||Solution.
|-
|''nFunc''||Number of calls to Func.
|}