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Generalized matrix inversion is not harder than matrix multiplication
Starting from the Strassen method for rapid matrix multiplication and inversion as well as from the recursive Cholesky factorization algorithm, we introduced a completely block recursive algorithm for generalized Cholesky factorization of a given ...
Structures preserved by matrix inversion
In this paper we investigate some matrix structures on $\cee^{n\times n}$ that have a good behavior under matrix inversion. The first type of structure is closely related to low displacement rank matrices. Next, we show that for a matrix having a low ...
A neural-type parallel algorithm for fast matrix inversion
IPPS '91: Proceedings of the Fifth International Parallel Processing SymposiumThe paper introduces the orthogonalized back-propagation algorithm (OBA), a training procedure for adjusting the weights of a neural-type network used for matrix inversion. In this framework the adjustable weights correspond to the estimate of the ...
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