An Accurate Hybrid SVD Algorithm for $2\times 2$ Triangular Matrices (CROSBI ID 158516)
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Matejaš, Josip
engleski
An Accurate Hybrid SVD Algorithm for $2\times 2$ Triangular Matrices
Using a fine accuracy analysis and the results from \cite{;har-mat-09};, a new accurate algorithm for computing the singular value decomposition of 2 by 2 triangular matrices is constructed. It is obtained by combining the new algorithm which is derived in \cite{;har-mat-09}; and the algorithm which is coded as an xLASV2 computational routine of LAPACK. Relative error bounds for the output data of the hybrid algorithm are equal to or smaller than the same bounds for any of these two algorithms.
triangular matrix of order two; SVD algorithm; error analysis; accuracy
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