, 1994 : A class of optimal control problems for a parabolic equation with nonlinear boundary condition and constraints on the control and the state is considered.
Fredi Tröltzsch
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Constrained and unconstrained deep image prior optimization models with automatic regularization. [PDF]
Comput Optim Appl, 2023 Cascarano P +4 more
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Superlinear Convergence And Implicit Filtering
, 1999 . In this note we show how the implicit filtering algorithm can be coupled with the BFGS quasi-Newton update to obtain a superlinearly convergent iteration if the noise in the objective function decays sufficiently rapidly as the optimal point is ...
Choi Kelley, T. D. Choi, C. T. Kelley
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Unified Robust Necessary Optimality Conditions for Nonconvex Nonsmooth Uncertain Multiobjective Optimization. [PDF]
J Optim Theory Appl, 2022 Wang J, Li S, Feng M.
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Truncated Newton Methods For Optimization With Inaccurate Functions And Gradients
, 1999 . We consider unconstrained minimization problems that have functions and gradients given by "black box" codes with error control. We discuss several modifications of the Steihaug truncated Newton method that can improve performance for such ...
E.W. Sachs, C. T. Kelley, E. W. Sachs
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A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation. [PDF]
J Sci Comput, 2022 Caboussat A +2 more
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Explicit Solutions For Interval Semidefinite Linear Programs
, 1993 We consider the special class of semidefinite linear programs (IV P ) maximize trace CX subject to L ¯ A(X) ¯ U; where C; X; L; U are symmetric matrices, A is a (onto) linear operator, and ¯ denotes the Loewner (positive semidefinite) partial order.
Henry Wolkowicz
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A Unified Approach to Shape and Topological Sensitivity Analysis of Discretized Optimal Design Problems. [PDF]
Appl Math Optim, 2023 Gangl P, Gfrerer MH.
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Comparison Of Different Fictitious Domain Approaches Used In Shape Optimization
, 1996 . Shape optimization with a homogeneous Dirichlet boundary value problem as a state is considered. Three fictitious domain approaches on a fixed grid are presented and used as solvers for the state problem.
Jaroslav Haslinger
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A primal-dual splitting algorithm for composite monotone inclusions with minimal lifting. [PDF]
Numer Algorithms, 2023 Aragón-Artacho FJ +2 more
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