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Banach空间中有界线性算子的Moore-Penrose度量广义逆的扰动分析
  • ISSN号：1000-0984
  • 期刊名称：《数学的实践与认识》
  • 时间：0
  • 分类：O151.2[理学—数学;理学—基础数学] O177.1[理学—数学;理学—基础数学]
  • 作者机构：[1]哈尔滨师范大学
  • 相关基金：国家自然科学基金资助项目（10671049）、黑龙江省教育厅科学技术资助项目（11531248）
作者： 马海风[1], 李双臻[1], 刘冠琦[1], 王玉文[1]
关键词： BANACH空间, 度量广义逆, 扰动, Banach Space , Metric Generalized Inverse , Perturbation
中文摘要：

对度量广义逆中Moore-Penrose度量广义逆的扰动进行了初步的研究.给出了度量稳定扰动的定义,应用度量稳定扰动的定义及广义正交分解定理给出在一定的范数下,有界线性算子的单值度量广义逆Moore-Penrose度量广义逆的误差界估计.

英文摘要：

In this paper, we have carried on the preliminary inquisition to perturbation analysis for Moore -Penrose metric generalized inverse of bounded linear operators in Banach space. In here, we have given the definition of stable perturbation, and then we apply this definition and generalized orthogonal decomposition theorem to give under certain norm Moore -Penrose metric generalized inverse error bound estimate.

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奇异性理论、算子广义逆在分歧理论和非线性方程中的应用
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期刊信息
  • 《数学的实践与认识》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编：林群
  • 地址：北京大学数学科学学院
  • 邮编：100871
  • 邮箱：bjmath@math.pku.edu.cn
  • 电话：010-62759981
  • 国际标准刊号：ISSN：1000-0984
  • 国内统一刊号：ISSN：11-2018/O1
  • 邮发代号:2-809
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:22973