In this paper, we propose an inexact alternating direction method with square quadratic proximal  (SQP) regularization for  the structured variational inequalities. The predictor is obtained via solving SQP system  approximately  under significantly  relaxed accuracy criterion  and the new iterate is computed directly by an explicit formula derived from the original SQP method. Under appropriat...

Speech given at Session 1: The Global Capital Market: What’s Next. Michael Patterson spoke on aspects of the global financial markets that are common to Japan and the United States including the converging roles of traditionally distinct kinds of institutions participating in such markets; the impact of that convergence on legal and regulatory structures, particularly in the United States; and ...

We discuss a theory for a realistic, applicable scaled genetic algorithm (GA) which converges asymptoticly to global optima in a coevolutionary setting involving two species. It is shown for the first time that coevolutionary arms races yielding global optima can be implemented successfully in a procedure similar to simulated annealing.

Global Krylov subspace methods are the most efficient and robust methods to solve generalized coupled Sylvester matrix equation. In this paper, we propose the nested splitting conjugate gradient process for solving this equation. This method has inner and outer iterations, which employs the generalized conjugate gradient method as an inner iteration to approximate each outer iterate, while each...

the grand challenge in global health is the inequality in mortality and life expectancy between countries and within countries. according to global health 2035, the lancet commission celebrating the 20th anniversary of the world development report (wdr) of 1993, the world now has the unique opportunity to achieve a grand convergence in global mortality within a generation. this article comments...

In this paper, a new hybrid conjugate gradient algorithm is proposed for solving unconstrained optimization problems. This new method can generate sufficient descent directions unrelated to any line search. Moreover, the global convergence of the proposed method is proved under the Wolfe line search. Numerical experiments are also presented to show the efficiency of the proposed algorithm, espe...

This paper presents a practical and efficient method to solve large-scale nonlinear equations. The global convergence of this new trust region algorithm is verified. The algorithm is then used to solve the nonlinear equations arising in an Expanded Lagrangian Function (ELF). Numerical results for the implementation of some large-scale problems indicate that the algorithm is efficient for these ...

The grand challenge in global health is the inequality in mortality and life expectancy between countries and within countries. According to Global Health 2035, the Lancet Commission celebrating the 20(th) anniversary of the World Development Report (WDR) of 1993, the world now has the unique opportunity to achieve a grand convergence in global mortality within a generation. This article commen...