Extracting the information with biological significance in amounts of gene expression data is an important research direction. Clustering algorithm in this area has been increasingly widely applied. According to the characteristic of gene expression data, the improved projection pursuit cluster model was introduced in this area and Quantum-behaved Particle Swarm Optimization(QPSO) was put forwa...

This paper introduces a symmetric version of the generalized alternating direction method of multipliers for two-block separable convex programming with linear equality constraints, which inherits the superiorities of the classical alternating direction method of multipliers (ADMM), and which extends the feasible set of the relaxation factor α of the generalized ADMM to the infinite interval [F...

Many practical optimization problems involve nonsmooth (that is, not necessarily differentiable) functions of hundreds or thousands of variables with various constraints. In this paper, we describe a new efficient adaptive limited memory interior point bundle method for large, possible nonconvex, nonsmooth inequality constrained optimization. The method is a hybrid of the nonsmooth variable met...

Abstract: In this paper, we give an iterative method for solving the problem when the objective function is linear fraction objectives and the constraints are in the form of inequality constraints. The proposed method based on conjugate gradient projection method which is applied to solve nonlinear programming problems with linear constraints. The main idea behind our method is to move through ...

In this paper, a Gauss–Seidel method with oblique direction (GSO) is proposed for finding the least-squares solution to system of linear equations, where coefficient matrix may be full rank or deficient and overdetermined underdetermined. Through method, number iteration steps running time can reduced greater extent find solution, especially when columns A are close correlation. It theoreticall...

This research includes of the numerical modeling of fluids in two-dimensional cavity. The cavity flow is an important theoretical problem. In this research, modeling was carried out based on an alternating direction implicit via Vorticity-Stream function formulation. It evaluates different Reynolds numbers and grid sizes. Therefore, for the flow field analysis and prove of the ability of the sc...

Family harmony is an important part of social stability and harmony. Facing the rapid growth divorce disputes, how to hear cases quickly fairly urgent matter be solved. Based on judgment documents from courts located in Southwest China, this paper studies evaluate predict whether or not a case should divorced. These are characterized by their unbalance sparsity; besides that, most variables bea...