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QR Decomposition (QRD) is a typical matrix decomposition algorithm that shares many common features with other algorithms such as LU and Cholesky decomposition. The principle can be realized in a large number of valid processing sequences that differ ...
The Wedderburn rank reduction formula is a powerful method for developing matrix factorizations and many fundamental numerical linear algebra processes. We present a new interpretation of the Wedderburn rank reduction formula and its associated ...
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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