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Gradient Search cauchy’s method
Name-Anuja Joshi
M.E(CADME)
Roll no.-561006
Multivariable optimization methods
The 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
Gradient Search Cauchy Method
Gradient Search Cauchy Method
Gradient Search Cauchy Method
Gradient Search Cauchy Method
Gradient Search Cauchy Method
Gradient Search Cauchy Method
Gradient Search Cauchy Method

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Gradient Search Cauchy Method

  • 1. Gradient Search cauchy’s method Name-Anuja Joshi M.E(CADME) Roll no.-561006
  • 2. Multivariable optimization methods The 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
  • 3. Steps involved in Study Multi-variable optimization methods Gradient based search method Cauchy’s method(Steepest descent) Working Rules Procedural Steps Examples
  • 4. Gradient based search method  They are also known as Indirect search method or descent method
  • 6. 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