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ANL/MCS Seminar Announcement
"Adjoint based Optimization Methods"

DATE: March 8, 2007
TIME: 3:00 pm
SPEAKER: Andreas Griewank, Huboldt University Berlin
LOCATION: Building 221 Conference Room A216, Argonne
HOST: Paul Hovland/Jean Utke

Description:
As recently confirmed by an NP completeness result of Uwe Naumann the evaluation of Jacobians, Hessians, and other derivative matrices is a potentially costly computational task. In contrast, not only tangents representing Jacobian-vector products but also first and second order adjoints representing vector-Jacobian and Hessian vector products, can be obtained at a cost similar to the underlying vector or scalar function.

After reviewing the above results we discuss their impact on the design of optimization algorithms. I particular we present a new class of adjoint based quasi-Newton updates and a matrix-free one-shot approach to optimizing very large systems like those arising through the discretization of partial differential equations in aerodynamics and geophysics.


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