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- W2024863776 abstract "In the rounding error analysis of a so-called hyperbolic rotation algorithm applied to downdating the Cholesky factor, a sharp upper bound is needed for a product where a = (a1,…,anT ϵ Rn, ∥a∥ ⩽ θ < 1, and θ is fixed. It is shown that In the original proof by Pan and Sigmon, the principle of Lagrange multipliers was used. A second proof by using vector majorization is presented here, which provides insights into this rather strange-looking bound. Moreover, the new proof can be readily generalized to solve a large class of nonlinear programming problems." @default.
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- W2024863776 date "1989-07-01" @default.
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- W2024863776 title "A vector majorization method for solving a nonlinear programming problem" @default.
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- W2024863776 doi "https://doi.org/10.1016/0024-3795(89)90073-6" @default.
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