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Descripción
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| This paper addresses the problem of deriving formulas for the Drazin inverse of a modified matrix. First we focus on obtaining formulas of Sherman-Morrison-Woodbury type for singular matrices, dealing with the Drazin inverse. Denote the Drazin inverse of a square complex matrix $A$ by $A^D$. We provide some expressions of $(A-CD^DB)^D$ in terms of the Drazin inverse of the original matrix $A$ and of its generalized Schur complement $Z=D-BA^DC$, where $Z$ is not assumed invertible. In addition, we study some representations of the Drazin inverse of a modified matrix, by using an auxiliar idempotent matrix and some special cases are analyzed. The provided results extend earlier works given in the literature. | |
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Internacional
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Si |
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JCR del ISI
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Si |
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Título de la revista
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Linear Algebra And Its Applications |
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ISSN
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0024-3795 |
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Factor de impacto JCR
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0,968 |
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Información de impacto
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Datos JCR del año 2012 |
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Volumen
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438 |
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DOI
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dx.doi.org/10.1016/j.laa.2011.06.023 |
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Número de revista
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Desde la página
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1678 |
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Hasta la página
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1687 |
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Mes
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SIN MES |
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Ranking
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