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矩阵乘法中的三角分解的误差分析，Summary. The number of multiplications required for matrix multiplication, forthe triangular decomposition of a matrix with partial pivoting, and for the Choleskydecomposition of a positive definite symmetric matrix, can be roughly halved ifWinograd's identity is used to compute the inner products involved. Floating-pointerror bounds for these algorithms are shown to be comparable to those for the normalmethods provided that care is taken with scaling.
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