MOORE-PENROSE INVERSE AND OPERATOR MEAN

• Fujii Jun Ichi

  Department of Educational Collaboration (Science, Mathematics, Information),Osaka Kyoiku University

Abstract

Recently the geometric operator mean is extended to the multi-variable one; the Karcher mean. Including these multivarible means, we discuss a construction method by the Moore-Penrose inverse. The key concept is the orthogonality of operator means.

Journal

• Scientiae Mathematicae Japonicae

  Scientiae Mathematicae Japonicae 82 (2), 125-129, 2019

  International Society for Mathematical Sciences

Keywords

• operator mean
• kernel inclusion
• transformer inequality
• generalized inverse

Details

• CRID: 1390846609779813632
• NII Article ID: 130007759798
• DOI: 10.32219/isms.82.2_125
• ISSN: 13460447
• Text Lang: en
• Data Source:
  • JaLC
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed