Gradient Search cauchy’s method

Name-Anuja JoshiM.E(CADME)Roll no.-561006

Multivariable optimization methodsThe multi-variable optimization methods deal with the optimization of multivariable design

Similar to the single variable optimization , the multi- variable optimization methods are also classified into two categories:

Multivariable Optimization

Direct Search Method

Gradient based Search Method

Steps involved in Study

Multi-variable optimization methods

Gradient based search method

Cauchy’s method(Steepest descent)

Working Rules Procedural Steps

Examples

Gradient based search method They are also known as Indirect search method or descent method

Direction of Gradient

Cauchy’s method(Steepest descent)

Augustin Louis Cauchy, 1789–1857

Cauchy was the first to make a use of negative gradient direction in 1857 for minimization problem.

In this method , an initial trial point X1 is chosen , which is iteratively move along the steepest descent direction until the optimum point

Working Rules Procedural Steps

Examples