Generalized Inverse Formulas Using the Schur Complement

A formula for various generalized inverses of a partitioned complex matrix is established under certain general conditions. The use of this formula in obtaining the Moore-Penrose inverse of an arbitrary complex matrix is discussed.

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Bibliographic Details
Published in:SIAM journal on applied mathematics 1974-03, Vol.26 (2), p.254-259
Main Authors: Burns, Fennell, Carlson, David, Haynsworth, Emilie, Markham, Thomas
Format: Article
Language:English
Subjects:
College mathematics
Mathematics
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Description
Summary:A formula for various generalized inverses of a partitioned complex matrix is established under certain general conditions. The use of this formula in obtaining the Moore-Penrose inverse of an arbitrary complex matrix is discussed.
ISSN:0036-1399
1095-712X
DOI:10.1137/0126022