Hw5 ex1 - norm minimization - Revision history

Franco at 02:34, 12 February 2007

2007-02-12T02:34:47Z

← Older revision		Revision as of 02:34, 12 February 2007
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	'''A''' The minimization of the square root of the norm is difficult, but it's doable by just taking the derivative of the <math>\sqrt{\cdot}</math> function; though one will have the same result by minimizing just <math>\|\| \dot{x} \|\| </math>, where with this notation we mean <math> \dot{x}^T \dot{x} </math>.		'''A''' The minimization of the square root of the norm is difficult, but it's doable by just taking the derivative of the <math>\sqrt{\cdot}</math> function; though one will have the same result by minimizing just <math>\|\| \dot{x} \|\| </math>, where with this notation we mean <math> \dot{x}^T \dot{x} </math>.

	Note that in the literature, <math>\|\| ~~\dot{~~x} \|\| </math> is generally already defined as <math>\sqrt~~{ \dot~~{x}^T ~~\dot{~~x} }</math>.		Note that in the literature, <math>\|\| x \|\| </math> is generally already defined as <math>\sqrt{ x^T x }</math>.

Franco at 02:34, 12 February 2007

2007-02-12T02:34:10Z

← Older revision		Revision as of 02:34, 12 February 2007
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	'''Q''' How do we solve the minimization problem for <math>\sqrt{ \|\| \dot{x} \|\|}</math>?		'''Q''' How do we solve the minimization problem for <math>\sqrt{ \|\| \dot{x} \|\|}</math>?

	'''A''' The minimization of the square root of the norm is difficult; though one will have the same result by minimizing just <math>\|\| \dot{x} \|\| </math>, where with this notation we mean <math> \dot{x}^T \dot{x} </math>		'''A''' The minimization of the square root of the norm is difficult, but it's doable by just taking the derivative of the <math>\sqrt{\cdot}</math> function; though one will have the same result by minimizing just <math>\|\| \dot{x} \|\| </math>, where with this notation we mean <math> \dot{x}^T \dot{x} </math>.

			Note that in the literature, <math>\|\| \dot{x} \|\| </math> is generally already defined as <math>\sqrt{ \dot{x}^T \dot{x} }</math>.

Franco at 00:43, 12 February 2007

2007-02-12T00:43:04Z

New page

'''Q''' How do we solve the minimization problem for <math>\sqrt{ || \dot{x} ||}</math>?

'''A''' The minimization of the square root of the norm is difficult; though one will have the same result by minimizing just <math>|| \dot{x} || </math>, where with this notation we mean <math> \dot{x}^T \dot{x} </math>

--[[User:Franco|Elisa]]
[[Category:CDS 110b FAQ - Homework 5]]