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- W2066280033 abstract "A new globally and quadratically convergent algorithm is proposed for the linear $l_infty $ problem. This method works on the piecewise linear $l_infty $, problem directly by generating descent directions—via a sequence of weighted least squares problems—and using a piecewise linear line search to ensure a decrease in the $l_infty $ function at every step. It is proven that ultimately full Newton-like steps are taken where the Newton step is based on the complementary slackness condition holding at the solution. Numerical results suggest a very promising method; the number of iterations required to achieve high accuracy is relatively insensitive to problem size." @default.
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- W2066280033 title "A Global and Quadratically Convergent Method for Linear $l_infty $ Problems" @default.
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