A new preconditioned GAOR method for solving the linear complementarity problem is developed by using the properties of M-matrix and a type of preconditioned matrix and the convergence analysis is established.

In this paper, we prove the hγ,ω (0≤γ≤ω<c,ω>0) minimum is the h1,1, here, hγ,ω is an error estimate constant of the AOR method s error estimate formula in strictly diagonally dominant matrix.

In this paper, the spectral radius ρ(G)=ρ(L 1,1 ) of the iterative matrix G=L 1,1 of Gauss-Seidel method being the minimum of ρ(L r,w ) (0≤r≤w≤1, w>0) are proved under the condition that B=L+U≥0,ρ(B)<1 for the Jacobi iterative matrix B of the linear systems coefficient matrix A, that is Gauss-Seidel iteration being the fastest convergent iterative method in the AOR method.

Architectural security principle in broad sense under continuable developing view;

The research on criminal policy in broad sense is inevitable trend.

In a broad sense,the conception of Wushu meant body s offensive and defensive technique cultivated and created .

This article makes scientific illustration from the angle of generalized architectural energy-saving, and points out that architectural energy-sav-ing should be “all-the-time, all-the-life, all-the-aspects, all-the-processand all-the-system”.

A model predictive control algorithm with superfluous parameters is presented by incorporating the non-parametric model which is easy to be obtained and generalized predictive control with less computational burden.

A special generalized assignment problem is presented.

In this paper, we give a mathematic model of general transportation problem, and convert it into one transportation problem whose variable has a upper bound.

The general assignment problem can be described as follows.

In this paper, we have given general eigenvalues λ following |A-λB|=0 distribution area.