一类二次算子族的数值域  

The Numerical Range of an Classes of Quadratic Operator Pencil

作　　者：邢利刚[1] 

机构地区：[1]内蒙古财经大学统计与数学学院

出　　处：《科技通报》2016年第8期22-23,132,共3页Bulletin of Science and Technology

基　　金：内蒙古自治区教育厅科研项目(NJZY133)

摘　　要：利用算子的数值域对算子的谱进行估计是研究算子谱理论常用的方法。对算子的谱进行估计的目的是为了清楚描述算子谱的分布。二次算子族是算子的一种组合形式,一般是非线性的,这类算子组合有着深刻力学背景。通过讨论二次算子族的数值域,对二次算子族的谱进行估计,进而能够得到二次算子族的谱的分布范围。The operator spectral estimation is a commonly used method of operator spectrum theory usingthe numerical range of operator. The purpose of operator spectral estimation is to describe thedistribution of the operator spectrum. The quadratic operator pencil which is nonlinear is a combination ofoperators. This kind of operator combination has a profound background in mechanics. To estimate thespectrum of this quadratic operator pencil by discussing it’s numerical range.And the distribution of it’sspectrum can be obtained.

关 键 词：二次算子族 谱 近似点谱 数值域 

分 类 号：O175.3[理学—数学]