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Lexikon


simplex method


An ef="module.php?name=Lexikon&file=search&eid=1&query=algorithm">algorithm for solving the classical {linear programming} problem developed by George B. Dantzig in 1947. The simplex method is an ef="module.php?name=Lexikon&file=search&eid=1&query=iterative">iterative procedure, solving a system of ef="module.php?name=Lexikon&file=search&eid=1&query=linear equations">linear equations in each of its steps, and stopping when either the optimum is reached, or the solution proves infeasible. The basic method remained pretty much the same over the years, though there were many refinements targeted at improving performance (eg. using ef="module.php?name=Lexikon&file=search&eid=1&query=sparse matrix">sparse matrix techniques), numerical ef="module.php?name=Lexikon&file=search&eid=1&query=accuracy">accuracy and stability, as well as solving special classes of problems, such as ef="module.php?name=Lexikon&file=search&eid=1&query=mixed-integer">mixed-integer programming. (2003-07-09)

e="border-width:thin; border-color:#333333; border-style:dashed; padding:5px;" align="left">In addition suitable contents:
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