1966
DOI: 10.1007/bf02162565
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Algorithms for bestL 1 andL ∞ linear approximations on a discrete set

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Cited by 136 publications
(49 citation statements)
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“…The plasma concentration of DU 125530 in the first 30 min of the PET scan was used to provide an approximation of receptor levels of DU 125530 at the time of The parameters were fitted using the Hanes-Woolf linearizing transform (Haldane and Stern, 1932). A sum of the absolute deviation minimization procedure was preferred to linear least-squares given the non-normality of the data (Cornish-Bowden and Eisenthal, 1974) and implemented through the linear simplex algorithm (Barrodale and Young, 1966). Standard errors were calculated using nonparametric bootstrap (Efron and Tibshirani, 1993).…”
Section: Discussionmentioning
confidence: 99%
“…The plasma concentration of DU 125530 in the first 30 min of the PET scan was used to provide an approximation of receptor levels of DU 125530 at the time of The parameters were fitted using the Hanes-Woolf linearizing transform (Haldane and Stern, 1932). A sum of the absolute deviation minimization procedure was preferred to linear least-squares given the non-normality of the data (Cornish-Bowden and Eisenthal, 1974) and implemented through the linear simplex algorithm (Barrodale and Young, 1966). Standard errors were calculated using nonparametric bootstrap (Efron and Tibshirani, 1993).…”
Section: Discussionmentioning
confidence: 99%
“…We explicitly reformulate the standard reduction to a dual problem in canonical form [2] because we want to add adaptivity later. First, we rewrite the constraints as…”
Section: Linear Optimizationmentioning
confidence: 99%
“…and can be read off the last column of C T which is the last row of C. The revised simplex method based on (14) already is an on-the-fly technique, provided that new columns of the constraint matrix are successively added, while the rows are fixed [2]. For the original problem, this means that new test functionals are introduced, while the trial space is fixed.…”
Section: Linear Optimizationmentioning
confidence: 99%
“…The algorithm is an improved version of the primal algorithm described by Barrodale & Young in 1966. In the improved version, Barrodale & Roberts were able to significantly reduce the total number of iterations required by discovering how to pass through several neighbouring simplex vertices in a single iteration.…”
Section: Ashar and Wallacementioning
confidence: 99%