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<math>
\begin{array}{rcll}
\
\mathrm{subject~to} &~& g_i(\mathbf{x}) = c_i &\mathrm{for~} i=1,\cdots,n \quad \rm{Equality~constraints} \\
&~& h_j(\mathbf{x}) \le d_j &\mathrm{for~} j=1,\cdots,m \quad \rm{Inequality~constraints}
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</math>
Where <math>\mathbf{x}</math> is a vector residing in a n-dimensional space, <math>f(\mathbf{x})</math> is a scalar valued objective function, <math> g_i(\mathbf{x}) = c_i ~\mathrm{for~} i=1,\cdots,n </math> and <math> h_j(\mathbf{x}) \le d_j ~\mathrm{for~} j=1,\cdots,m </math> are constraint functions that need to be satisfied.
==Solution methods==
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