A power control scheme for packet-based wireless communication systems is proposed in this paper. The proposed power control scheme aims at minimizing the total number of transmission that a packet needs before it is received successfully over a Rayleigh fading channel subject to two constraints. One is that the transmission power should be greater than zero. The other is imposed by the constra...

A multigrid algorithm for saddle point problems arising from mortar nite element discretizations is analyzed. Here, we do not require that the constraints at the interface are satissed in each smoothing step. Using mesh dependent norms for the Lagrange multiplier, suitable approximation and smoothing properties are established. A convergence rate independent of the meshsize is obtained for the ...

In this paper we present an adaptive strategy to obtain an incompressible wind field that adjusts to an experimental one, and verify boundary conditions of physical interest. We use an Augmented Lagrangian formulation for solving this problem. Our method is based on an Uzawa iteration to update the Lagrange multiplier and on an elliptic adaptive inner iteration for velocity. Several examples sh...

The present paper shows that certain instabilities encountered with Nedelec-type nite element implementations of the vector wave equation can be eliminated by a family of Lagrange multiplier methods. The considered approaches can be interpreted as coupled vector and scalar potential methods, including an ungauged formulation. We advocate the latter form for use with iterative solvers. We discus...

In this paper we consider a model elliptic optimal control problem with finitely many state constraints in two and three dimensions. Such problems are challenging due to low regularity of the adjoint variable. For the discretization of the problem we consider continuous linear elements on quasi-uniform and graded meshes separately. Our main result establishes optimal a priori error estimates fo...

The paper proposes an alternative method for the multi-item EOQ calculation in presence of space restrictions. The method, based on the Lagrange multipliers, consists of an iterative procedure which analyses dynamically, through the simulation, the effect of consumption rates and delivery times, determining the real stock overlapping in a fixed time period. This makes possible a more effective ...

Distributional theory for Quasi-Maximum Likelihood estimators in long memory conditional heteroskedastic models is not formally defined, even asympotically. Because of that, this paper analyses the performance of the Likelihood Ratio and the Lagrange Multiplier misspecification tests for Periodic Long Memory GARCH models. The real size and power of these tests are studied by means of Monte Carl...

We propose a random effects panel data model with both spatially correlated error components and spatially lagged dependent variables. We focus on diagnostic testing procedures and derive Lagrange multiplier (LM) test statistics for a variety of hypotheses within this model. We first construct the joint LM test for both the individual random effects and the two spatial effects (spatial error co...

This paper examines the bit and power allocation problem for orthogonal frequency division multiplexing systems in which the overall transmission power is minimized by constraining the fixed data rate and bit error rate. To provide the optimal allocation with less computational complexity, we propose new bit and power allocation schemes based on the Lagrangian method. Firstly, we propose an ini...

Two’s complement multipliers are important for a wide range of applications. Paper describes a technique to reduce by one row the maximum height of the partial product array generated by Radix-4 Booth’s multiplier, without any increase in the delay of the partial product generation stage. The design of 8 bit and 16 bit multiplication scheme using different types of multiplier like Array multipl...