On Optimal Spectral Estimator for Multi-Dimensional Time Series with an Infinite Number of Sample Points.
On perturbations of minimum problems with unbounded controls.
On primal-dual stability in convex optimization.
On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints
In this paper we study Lavrentiev-type regularization concepts for linear-quadratic parabolic control problems with pointwise state constraints. In the first part, we apply classical Lavrentiev regularization to a problem with distributed control, whereas in the second part, a Lavrentiev-type regularization method based on the adjoint operator is applied to boundary control problems with state constraints in the whole domain. The analysis for both classes of control problems is investigated and...
On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints
In this paper we study Lavrentiev-type regularization concepts for linear-quadratic parabolic control problems with pointwise state constraints. In the first part, we apply classical Lavrentiev regularization to a problem with distributed control, whereas in the second part, a Lavrentiev-type regularization method based on the adjoint operator is applied to boundary control problems with state constraints in the whole domain. The analysis for both classes of control problems is investigated and...
On superlinear multiplier update methods for partial augmented Lagrangian techniques.
The minimization of a nonlinear function with linear and nonlinear constraints and simple bounds can be performed by minimizing an augmented Lagrangian function, including only the nonlinear constraints. This procedure is particularly interesting in case that the linear constraints are flow conservation equations, as there exist efficient techniques to solve nonlinear network problems. It is then necessary to estimate their multipliers, and variable reduction techniques can be used to carry out...
On the boundary element method for the Signorini problem of the Laplacian.
On the Convergence of an Inverse Iteration Method for Nonlinear Elliptic Eigenvalue Problems.
On the convergence of min/sup points in optimal control problems.
On the Convergence of the Approximate Free Boundary for the Parabolic Obstacle Problem
Si discretizza il problema dell'ostacolo parabolico con differenze all'indietro nel tempo ed elementi finiti lineari nello spazio e si dimostrano stime dell'errore per la frontiera libera discreta.
On the Efficient Solution of Nonlinear Finite Element Equations. II. Bound-Constrained Problems.
On the Efficient Solution of Nonlinear Finite Element Equations I.
On the equality between Monge's infimum and Kantorovich's minimum in optimal mass transportation
On the gap between the semilocal convergence domains of two Newton methods
We answer a question posed by Cianciaruso and De Pascale: What is the exact size of the gap between the semilocal convergence domains of the Newton and the modified Newton method? In particular, is it possible to close it? Our answer is yes in some cases. Using some ideas of ours and more precise error estimates we provide a semilocal convergence analysis for both methods with the following advantages over earlier approaches: weaker hypotheses; finer error bounds on the distances involved, and at...
On the minimization of some nonconvex double obstacle problems.
On the numerical solution of axisymmetric domain optimization problems
An axisymmetric second order elliptic problem with mixed boundarz conditions is considered. A part of the boundary has to be found so as to minimize one of four types of cost functionals. The numerical realization is presented in detail. The convergence of piecewise linear approximations is proved. Several numerical examples are given.
On the numerical solution of bound constrained optimization problems
On the numerical solution of implicit two-point boundary-value problems
On the numerical solution of optimal control problems with constraints
On the parameter selection problem in the Newton-ADI iteration for large-scale Riccati equations.