The coherent-state path-integral representation for the propagator of fermionic systems subjected to first-class constraints is constructed. As in the bosonic case the importance of path-integral measures for Lagrange multipliers is emphasized. One example is discussed in some detail.

We introduce stochastic optimization problems involving stochastic dominance constraints. We develop necessary and sufficient conditions of optimality and duality theory for these models and show that the Lagrange multipliers corresponding to dominance constraints are concave nondecreasing utility functions. The models and results are illustrated on a portfolio optimization problem.

Two-view triangulation is a problem of minimizing a quadratic polynomial under an equality constraint. We derive a polynomial that encodes the local minimizers of this problem using the theory of Lagrange multipliers. This offers a simpler derivation of the critical points that are given in HartleySturm [6].

An optimal control problem for an semilinear elliptic equation is investigated, where pointwise constraints are given on the control and the state. The state constraints are of mixed (bottleneck) type, where associated Lagrange multipliers can assumed to be bounded and measurable functions. Based on this property, a second-order sufficient optimality condition is established that considers stro...

We presents a parallel algorithm for extrapolation methods on distributed memory multiprocessors combining diierent levels of par-allelism. A detailed analysis that uses appropriate primitives for communication shows that a sophisticated load balancing scheme is required to achieve a good speedup. We characterize an optimal load balancing based on Lagrange multipliers and investigate several si...

The present article is primarily a review of the projection-operator approach to quantize systems with constraints. We study the quantization of systems with general firstand second-class constraints from the point of view of coherent-state, phase-space path integration, and show that all such cases may be treated, within the original classical phase space, by using suitable path-integral measu...

This paper presents a problem-independent framework that uni es various mechanisms for solving discrete constrained nonlinear programming (NLP) problems whose functions are not necessarily di erentiable and continuous. The framework is based on the rst-order necessary and su cient conditions in the theory of discrete constrained optimization using Lagrange multipliers. It implements the search ...

Given a set of target bits, video rate control algorithms that use Lagrange multipliers have been generally known as an optimal solution for maximizing the picture quality in uniform spatial domain. Even if the SNR(signa1to-noise) of a picture is maximized by the rate control scheme, the visual quality can be enhanced using a suitable algorithm for the human visual system. In this paper, we est...

Hierarchical a posteriori error estimators are introduced and analyzed for mortar nite element methods. A weak continuity condition at the interfaces is enforced by means of Lagrange multipliers. The two proposed error estimators are based on a defect correction in higher order nite element spaces and an adequate hierarchical two-level splitting. The rst provides upper and lower bounds for the ...

In recent years, parallel computers have changed techniques to solve problems in various kinds of fields. In parallel computers of distributed memory type, data can be shared by communication procedures called message-passing, whose speed is slower than that of computations in a processor. From a practical point of view, it is important to reduce the amount of message-passing. Domain-decomposit...