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Mathematics
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Matrix norm and Matrix measure
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[QUOTE="mertcan, post: 6051620, member: 594826"] Thanks for return [USER=613025]@StoneTemplePython[/USER] , I would like to ask another question as a reply to my post 1. Let's say we have 2 dimensions (x,y) for the elements of Hessian matrix in total, and concentrating on 5<=x<=10 and -3<=y<=2. Also we know that measure function is convex a function which means u(A) is convex. Besides, we can imagine (u,x,y) space and u is a function of x,y(because elements of Hessian consists of x,y). Here, can we say that in order to obtain MAXIMUM value of measure function for the intervals 5<=x<=10 and -3<=y<=2 we can just look at bound points? (for instance for a basic parabola function(z=x'^2+y^2), maximum value of parabola for intervals 5<=x<=10 and -3<=y<=2 would be at bounds...) [/QUOTE]
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Matrix norm and Matrix measure
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