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An Analog of the Adjugate Matrix for the Outer Inverse ð ´ ( 2 ) 𠑇 , 𠑆

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  • Xiaoji Liu
  • Guangyan Zhu
  • Guangping Zhou
  • Yaoming Yu

Abstract

We investigate the determinantal representation by exploiting the limiting expression for the generalized inverse ð ´ ( 2 ) 𠑇 , 𠑆 . We show the equivalent relationship between the existence and limiting expression of ð ´ ( 2 ) 𠑇 , 𠑆 and some limiting processes of matrices and deduce the new determinantal representations of ð ´ ( 2 ) 𠑇 , 𠑆 , based on some analog of the classical adjoint matrix. Using the analog of the classical adjoint matrix, we present Cramer rules for the restricted matrix equation î ‚ 𠑆 ð ´ ð ‘‹ ð µ = ð · , â„› ( ð ‘‹ ) ⊂ 𠑇 , ð ’© ( ð ‘‹ ) ⊃ .

Suggested Citation

  • Xiaoji Liu & Guangyan Zhu & Guangping Zhou & Yaoming Yu, 2012. "An Analog of the Adjugate Matrix for the Outer Inverse ð ´ ( 2 ) 𠑇 , 𠑆," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-14, February.
    • Handle: RePEc:hin:jnlmpe:591256
    DOI: 10.1155/2012/591256
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    Cited by:

    1. Dilan Ahmed & Mudhafar Hama & Karwan Hama Faraj Jwamer & Stanford Shateyi, 2019. "A Seventh-Order Scheme for Computing the Generalized Drazin Inverse," Mathematics, MDPI, vol. 7(7), pages 1-10, July.

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