Approximation on computing partial sum of nonlinear differential eigenvalue problems

被引：0

作者：

Sun, JC ^{[1
]}

Jiang, MR

机构：

[1] Chinese Acad Sci, Inst Software, Beijing 100080, Peoples R China

[2] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China

来源：

PROGRESS IN NATURAL SCIENCE | 2001年 / 11卷 / 11期

关键词：

nonlinear eigenvalue problems; approximating algorithm; perturbation;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In computing the electronic structure and energy band in a system of multi-particles, quite a large number of problems. are referred to the acquisition of obtaining the partial sum of densities and energies using the "first principle". In the conventional method, the so-called self-consistency approach is limited to a small scale because of high computing complexity. In this paper, the problem of computing the partial sum for a class of nonlinear differential eigenvalue equations is changed into the constrained functional minimization. By space decomposition and perturbation method, a secondary approximating formula for the minimal is provided. It is shown that this formula is more precise and its quantity of computation can he reduced significantly.

引用

页码：859 / 864

页数：6