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Drazin-Theta Inverse for Rectangular Matrices Divya Purushothama Shenoy

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Abstract

The concept of Drazin-Theta matrices are extended for rectangular matrices and defined W-weighted Drazin-Theta matrices. Several characterizations and the algebraic and geometrical interpretations of Drazin-Theta matrices are obtained here. The Drazin-Theta matrices are special cases of W-weighted Drazin-Theta matrices. All the characterizations obtained for W-weighted Drazin-Theta matrices are applicable to its dual, that is Theta-Drazin matrices. Further, the concept of W-weighted Drazin-Theta matrices are applied in solving certain types of linear system of equations.

Original languageEnglish
Article numberIJCS_50_4_41
JournalIAENG International Journal of Computer Science
Volume50
Issue number4
Publication statusPublished - 2023

All Science Journal Classification (ASJC) codes

  • General Computer Science

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