We propose a first-order interior-point method for linearly constrained smooth optimization that unifies and extends first-order affine-scaling method and replicator dynamics method for standard quadratic programming. Global convergence and, in the case of quadratic program, (sub)linear convergence rate and iterate convergence results are derived. Numerical experience on simplex constrained pro...

We extend the notion of higher-order Delaunay triangulations to constrained higherorder Delaunay triangulations and provide various results. We can determine the order k of a given triangulation in O(min(nk log n log k, n log n)) time. We show that the completion of a set of useful order-k Delaunay edges may have order 2k − 2, which is worst-case optimal. We give an algorithm for the lowest-ord...

The nucleon-nucleon correlations of asymmetric nuclear matter (ASM) in the 3S1-3D1 and 3P2-3F2 states with AV18 AV’6 potentials are studied lowest order constrained variational (LOCV) method. In these computations, tensor (or spin-orbit) considered (3P2-3F2) state. energy, as well healing distance ASM mentioned states, reported. It is demonstrated that by decreasing proton to neutron ratio, non...

A causal ordering protocol ensures that if two messages are causally related and have the same destination, they are delivered to the application in their sending order. Causal order strongly simplifies the development of distributed object-oriented systems. To prevent causal order violation, either messages may be forced to wait for messages in their past, or late messages may have to be disca...

In this paper, we study the problem of minimizing the ratio of two quadratic functions subject to a quadratic constraint. First we introduce a parametric equivalent of the problem. Then a bisection and a generalized Newton-based method algorithms are presented to solve it. In order to solve the quadratically constrained quadratic minimization problem within both algorithms, a semidefinite optim...