LS Cost with a Linear Equality Constraint - PowerPoint PPT Presentation

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LS Cost with a Linear Equality Constraint

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Constrained Max occurs when: Ex. The grad vector has 'slope' of b/a orthogonal to constraint ... x2 = ( a/b)x1 c/b. A Linear Constraint. Constrained ... – PowerPoint PPT presentation

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Title: LS Cost with a Linear Equality Constraint


1
LS Cost with a Linear Equality Constraint
Using Lagrange Multipliers we need to minimize
Linear Equality Constraint
x2
contours of (x H?)T (x H?)
2-D Linear Equality Constraint
Constrained Minimum
Unconstrained Minimum
x1
2
Constrained Optimization Lagrange Multiplier
x2
f (x1,x2) contours
Constraint g(x1,x2) C g(x1,x2) C h(x1,x2)
0
x1
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