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The Moore–Penrose inverse: a hundred years on a frontline of physics research
The European Physical Journal H ( IF 1 ) Pub Date : 2021-04-21 , DOI: 10.1140/epjh/s13129-021-00011-y
Oskar Maria Baksalary , Götz Trenkler

The Moore–Penrose inverse celebrated its 100th birthday in 2020, as the notion standing behind the term was first defined by Eliakim Hastings Moore in 1920 (Bull Am Math Soc 26:394–395, 1920). Its rediscovery by Sir Roger Penrose in 1955 (Proc Camb Philos Soc 51:406–413, 1955) can be considered as a caesura, after which the inverse attracted the attention it deserves and has henceforth been exploited in various research branches of applied origin. The paper contemplates the role, which the Moore–Penrose inverse plays in research within physics and related areas at present. An overview of the up-to-date literature leads to the conclusion that the inverse “grows” along with the development of physics and permanently (maybe even more demonstrably now than ever before) serves as a powerful and versatile tool to cope with the current research problems.



中文翻译:

摩尔-彭罗斯逆定律:一百年的物理学研究前沿

Moore-Penrose逆矩阵在2020年庆祝了其100周年诞辰,这一术语背后的概念最初是由Eliakim Hastings Moore于1920年定义的(Bull Am Math Soc 26:394-395,1920)。1955年罗杰·彭罗斯爵士(Rog Penrose爵士,Proc Camb Philos Soc 51:406–413,1955年)对其的重新发现可以被看作是一个凯撒舞,此后,反演吸引了它应得的关注,并因此在应用起源的各个研究分支中得到了利用。本文考虑了摩尔-彭罗斯逆函数目前在物理学及其相关领域的研究中所扮演的角色。对最新文献的概述得出这样的结论,即逆“增长”随着物理学的发展而永久地(也许现在比以往任何时候都更具可证明性)是应对当前潮流的有力且多功能的工具。研究问题。

更新日期:2021-04-21
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