基于Hilbert空间有界线性算子方程等价性的研究  

Research on Equivalence of the Solutions for the Operators Equation over Hilbert Space

作　　者：范大付[1] 

机构地区：[1]百色学院教务处,广西百色533000

出　　处：《四川师范大学学报（自然科学版）》2016年第1期117-122,共6页Journal of Sichuan Normal University（Natural Science）

基　　金：广西高校科学技术研究项目(2013LX146);广西自然科学基金(2014GXNSFAA118030);广西高等教育本科教学改革工程项目(2015JGZ160;2015JGB376)

摘　　要：有界线性算子方程解的性质在计算中是十分必要的.在Hilbert空间上,研究有界线性算子解的等价性.将该系统变得更加简单更加便于求解.通过算子的分块技术,将算子分成等价形式,且利用Moore-Penrose逆来表示,最终给出了线性算子方程的一些简单等价形式.The properties of boundary linear operator equations are very necessary in scientific computation of the linear systems.Based on Hilbert space,we consider the equivalence of the solutions for the linear bounded operator systems. The systems are written into a simple and equivalent systems. The main advantage is that the systems can be solved easily. By introducing the block technology of operator,the operator can be written into an equivalent form. Finally,we present some simple equivalent expression form of the linear bounded operator systems by using Moore-Penrose inverse.

关 键 词：HILBERT空间 算子方程 MOORE-PENROSE逆 

分 类 号：O151[理学—数学]