Changes between Version 119 and Version 120 of WikiStart


Ignore:
Timestamp:
Feb 14, 2019 3:03:30 PM (2 months ago)
Author:
fomas
Comment:

ASCII arrows replaced with unicode arrows

Legend:

Unmodified
Added
Removed
Modified
  • WikiStart

    v119 v120  
    1313}}}
    1414where
    15 {{{f(x): Rⁿ --> R}}}
     15{{{f(x): Rⁿ R}}}
    1616is the objective function, and
    17 {{{g(x): Rⁿ --> Rᵐ}}}
     17{{{g(x): Rⁿ Rᵐ}}}
    1818are the constraint functions.  The vectors {{{g_L}}} and {{{g_U}}} denote the lower and upper bounds on the constraints, and the vectors {{{x_L}}} and {{{x_U}}} are the bounds on the variables {{{x}}}.  The functions {{{f(x)}}} and {{{g(x)}}} can be nonlinear and nonconvex, but should be twice continuously differentiable.  Note that equality constraints can be formulated in the above formulation by setting the corresponding components of {{{g_L}}} and {{{g_U}}} to the same value.
    1919