Biorthogonal systems based on \(\{2\}\)-inverse with prescribed range and null space (Q861486)
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scientific article; zbMATH DE number 5119553
| Language | Label | Description | Also known as |
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| English | Biorthogonal systems based on \(\{2\}\)-inverse with prescribed range and null space |
scientific article; zbMATH DE number 5119553 |
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Biorthogonal systems based on \(\{2\}\)-inverse with prescribed range and null space (English)
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29 January 2007
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The paper extends the biorthogonal systems of the Moore-Penrose inverse [\textit{M. Fiedler}, Linear Algebra Appl. 363, 137--143 (2003; Zbl 1022.15004)], \(g\)-inverse [cf. \textit{M. Matsuura}, Electron. J. Linear Algebra 10, 146--154, electronic only (2003; Zbl 1043.15001)] and the Drazin inverse [\textit{B. Zheng} and \textit{Z. Xu}, J. Appl. Math. Comput. 22, No. 3, 365--370 (2006; Zbl 1112.15014)] to the \{2\}-inverse \(A_{T,S}^{\left( 2\right) }\) of a matrix \(A \) which has prescribed range \(T\) and null space \(S\).
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biorthogonal systems
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\(\{2\}\)-inverse
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Moore-Penrose inverse
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\(g\)-inverse
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Drazin inverse
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0.7506482005119324
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0.7482694387435913
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