Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

MOORE-PENROSE INVERSE IN AN INDEFINITE INNER PRODUCT SPACE

  • KAMARAJ K. (Department of Mathematics, College of Enfineering, Guindy, Anna University) ;
  • SIVAKUMAR K. C. (Department of Mathematics, Indian Institute of Technology)
  • Published : 2005.09.01

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Abstract

The concept of the Moore-Penrose inverse in an indefinite inner product space is introduced. Extensions of some of the formulae in the Euclidean space to an indefinite inner product space are studied. In particular range-hermitianness is completely characterized. Equivalence of a weighted generalized inverse and the Moore-Penrose inverse is proved. Finally, methods of computing the Moore-Penrose inverse are presented.

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