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- W2056568837 abstract "Abstract In this paper we derive perturbation theorems for the LU and QR factors. Moreover, bounds for κ L ( A )/ κ L ′ ( A ) and κ U ( A )/ κ′ U ( A ) are given for the LU factorization of a nonsingular matrix. By applying pivoting strategies in the LU factorization, estimates for κ L ( PAQ )/ κ L ′ ( PAQ ) and κ U ( PAQ )/ κ′ U ( PAQ ) are also obtained." @default.
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- W2056568837 date "2008-04-01" @default.
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- W2056568837 title "PERTURBATION THEORY FOR THE LU AND QR FACTORIZATIONS" @default.
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- W2056568837 doi "https://doi.org/10.1017/s1446181108000138" @default.
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