## Karush–Kuhn–Tucker conditions

In mathematics , the **Karush–Kuhn–Tucker Kuhn–Tucker Tucker** ( KKT ) conditions (also known as the **Kuhn–Tucker Tucker** conditions) are necessary for a solution in nonlinear programming to be optimal , provided that some regularity conditions are satisfied. Allowing inequality

**wikipedia.org**| 2011/9/8 7:10:57

## Dual problem

In constrained optimization , it is often possible to convert the primal problem (i.e. the original form of the optimization problem) to a dual form, which is termed a dual problem . Usually "dual problem" refers to the "Lagrangian dual problem" but other dual problems are used, for example

**wikipedia.org**| 2011/5/25 0:06:14

## Mathematical optimization

In mathematics and computational science , mathematical optimization (alternatively, optimization or mathematical programming ) refers to the selection of a best element from some set of available alternatives. In the simplest case, this means solving problems in which one seeks to maximize

**wikipedia.org**| 2011/10/2 14:08:31

## William Karush

William **Karush** From Wikipedia, the free encyclopedia Jump to: navigation , search William **Karush** Born March 1, 1917 ( 1917-03-01 ) Died February 22, 1997 (aged 79) Known for Contribution to **Karush Kuhn Tucker** conditions William **Karush** (1917-03-01 – 1997

**wikipedia.org**| 2010/9/25 0:26:07

## Harold W. Kuhn

attention of the Nobel Prize committee that led to Nash's 1994 Nobel Prize in Economics. [ 2 ] **Kuhn** and Nash both had long associations and collaborations with Albert W. **Tucker** , who was Nash's dissertation advisor. **Kuhn** co-edited The Essential John Nash , [ 3 ] and is credited as the

**wikipedia.org**| 2011/8/9 20:57:08

## Optimization (mathematics)

include: Richard Bellman Ronald A. Howard Leonid Kantorovich Narendra Karmarkar William **Karush** Leonid Khachiyan Bernard Koopman

**wikipedia.org**| 2011/5/7 16:27:07

## Support vector machine

A support vector machine ( SVM ) is a concept in computer science for a set of related supervised learning methods that analyze data and recognize patterns, used for classification and regression analysis . The standard SVM takes a set of input data and predicts, for each given input, which

**wikipedia.org**| 2011/10/5 11:26:43

## Multidisciplinary design optimization

MDO allows designers to incorporate all relevant disciplines simultaneously. The optimum of the simultaneous problem is superior to the design found by optimizing each discipline sequentially, since it can exploit the interactions between the disciplines. However, including all disciplines

**wikipedia.org**| 2010/9/27 2:20:09