Extension of the GSMW formula in weaker assumptions

DOI10.1155/2014/324836zbMath1469.47001OpenAlexW2028073406WikidataQ59036167 ScholiaQ59036167MaRDI QIDQ1723872

Xi Chen, Wen-feng Wang

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/324836

zbMATH Keywords

generalized Sherman-Morrison-Woodbury formula

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

• A generalization of the Sherman-Morrison-Woodbury formula
• Closedness of ranges of upper-triangular operators
• Generalized inverses. Theory and applications.
• A generalization of the SMW formula of operator \(A + Y G Z^*\) to the \(\{2 \}\)-inverse case
• Properties of the matrix \(A-XY^*\)
• Updating the Inverse of a Matrix
• Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix
• An Inverse Matrix Adjustment Arising in Discriminant Analysis

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