Index Terms
- Algorithm 140: Matrix inversion
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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 ...
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 ...
New Matrix Inversion Algorithms Based on Exchange Method
This paper derives a set of new algorithms based on the exchange method for the computation of matrix inverses including nonsingular, symmetric nonsingular, and rectangular matrices. The symmetric matrix inversion algorithm can save up to 50 percent of ...
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