- #1
braindead101
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suppose A->H is a symmetric operator for some Hilbert Space H, define [tex]\varphi[/tex]: H->R by [tex]\varphi[/tex](u) = <Au,u>. Compute the Gateaux derivative of [tex]\varphi[/tex]
I know the definition of the Gateaux derivative, I just don't know how to use the information given to compute it.
The definition of the Gateaux derivative of J of y in direction v is, ep is epsilon: gateaux J(y,v) lim ep->0 (J(y+epv) - J(y)) / ep
I know the definition of the Gateaux derivative, I just don't know how to use the information given to compute it.
The definition of the Gateaux derivative of J of y in direction v is, ep is epsilon: gateaux J(y,v) lim ep->0 (J(y+epv) - J(y)) / ep