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From: AK on 20 Jul 2010 11:43
Hi all,

Can some interesting interpretation be attached to the vector
resulting from the product of the Hessian matrix of a 2D function
u(x,y) with the gradient vector of u (∇u)?

TIA
From: Rob Johnson on 20 Jul 2010 13:23
In article <403395e1-b787-43f4-a645-0dc237ae7361(a)g35g2000yqa.googlegroups.com>,
AK <selfstudier(a)gmail.com> wrote:
>Can some interesting interpretation be attached to the vector
>resulting from the product of the Hessian matrix of a 2D function
>u(x,y) with the gradient vector of u (∇u)?

This would be 1/2 grad(|grad u|^2)

Rob Johnson <rob(a)trash.whim.org>
take out the trash before replying
to view any ASCII art, display article in a monospaced font
From: Rob Johnson on 20 Jul 2010 13:38
In article <403395e1-b787-43f4-a645-0dc237ae7361(a)g35g2000yqa.googlegroups.com>,
AK <selfstudier(a)gmail.com> wrote:
>Can some interesting interpretation be attached to the vector
>resulting from the product of the Hessian matrix of a 2D function
>u(x,y) with the gradient vector of u (∇u)?

This would be 1/2 grad(|grad u|^2)

Rob Johnson <rob(a)trash.whim.org>
take out the trash before replying
to view any ASCII art, display article in a monospaced font
From: AK on 20 Jul 2010 15:14
On Jul 20, 6:38 pm, Rob Johnson <r...(a)trash.whim.org> wrote:
> In article <403395e1-b787-43f4-a645-0dc237ae7...(a)g35g2000yqa.googlegroups..com>,
>
> AK <selfstud...(a)gmail.com> wrote:
> >Can some interesting interpretation be attached to the vector
> >resulting from the product of the Hessian matrix of a 2D function
> >u(x,y) with the gradient vector  of u  (∇u)?
>
> This would be 1/2 grad(|grad u|^2)
>
> Rob Johnson <r...(a)trash.whim.org>
> take out the trash before replying
> to view any ASCII art, display article in a monospaced font

Thanks.
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