Convex optimization with linear constraint?

2009-05-03 Thread liu chang
Thanks. I made LMVM optimize over a reduced number of variables and solve the rest from the linear equations. On Thu, Apr 30, 2009 at 3:37 AM, David Fuentes wrote: > > Liu, > > Unless I'm missing something, I don't think you will directly find what > you are looking for. ?You will prob have to s

Convex optimization with linear constraint?

2009-04-30 Thread liu chang
I'm using PETSc + TAO's LMVM method for a convex optimization problem. As the project progresses, it's clear that some linear constraints are also needed, the problem now looks like: minimize f(vec_x) (f is neither linear or quadratic, but is convex) subject to A * vec_x = vec_b As LMVM does not

Convex optimization with linear constraint?

2009-04-29 Thread David Fuentes
Liu, Unless I'm missing something, I don't think you will directly find what you are looking for. You will prob have to solve A * vec_x = vec_b directly in your FormObjective function then use an adjoint method or something to compute your gradient directly in your FormGradient routine.

Convex optimization with linear constraint?

2006-11-07 Thread liu chang
Hi all, I'm using PETSc + TAO's LMVM method for a convex optimization problem. As the project progresses, it's clear that some linear constraints are also needed, the problem now looks like: minimize f(vec_x) (f is neither linear or quadratic, but is convex) subject to vec_x[i] >= 0 for all i A *