A Note on the Generalized Inverses of Some Partitioned Matrices

A method is developed for calculating the Moore-Penrose generalized inverse of certain singular partitioned (tensor product) matrices in terms of the generalized inverse of matrices of lower order. Such matrices may arise, for example, from the discretization of boundary value problems with von Neum...

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Bibliographic Details
Published in:SIAM journal on applied mathematics 1970-11, Vol.19 (3), p.555-559
Main Authors: Harwood, W. R., Lovass-Nagy, V., Powers, D. L.
Format: Article
Language:English
Subjects:
Eigenvalues
Mathematical inequalities
Matrices
Partial differential equations
Tensors
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Summary:A method is developed for calculating the Moore-Penrose generalized inverse of certain singular partitioned (tensor product) matrices in terms of the generalized inverse of matrices of lower order. Such matrices may arise, for example, from the discretization of boundary value problems with von Neumann conditions.
ISSN:0036-1399
1095-712X
DOI:10.1137/0119055