Constrained Optimization - Stanford University
j=1 ^ jd^c j= 0 ) Xn i=1 0 @@f @x i Xm^ j=1 ^ j @^c j @x i 1 Adx i= 0: (5.11) Notice what has happened: the components of the in nitesimal vector dxhave become inde-pendent and arbitrary, because we have accounted for the constraints. Thus, for this equation to be satis ed, we need a vector ^ such that the expression inside the parenthesis ... ................
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