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- W2951487698 abstract "The Higham matrix is a complex symmetric matrix A=B+iC, where both B and C are real, symmetric and positive definite and $mathrm{i}=sqrt{-1}$ is the imaginary unit. For any Higham matrix A, Ikramov et al. showed that the growth factor in Gaussian elimination is less than 3. In this paper, based on the previous results, a new bound of the growth factor is obtained by using the maximum of the condition numbers of matrixes B and C for the generalized Higham matrix A, which strengthens this bound to 2 and proves the Higham's conjecture." @default.
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- W2951487698 date "2013-05-22" @default.
- W2951487698 modified "2023-09-27" @default.
- W2951487698 title "A note on the growth factor in Gaussian elimination for generalized Higham matrices" @default.
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