Exercise 1. Find minimum of the function F(x) with constrains x e D,, i.e. solve the problem: F(x) = min F(x) TED, F(x)=b'x, D₁ = {xe R³, x'x=1}.x, b-S- dimensional vector.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Exercise 1. Find minimum of the function F(x) with constrains x e D,, i.e. solve the
problem:
F(x) = min F(x)
TED,
F(x)=b'x, D₂ = {xe R³, x'x=1}, x, b-S- dimensional vector.
Exercise 2. Find minimum of the function F(x) with constrains x e D, using interior penalty
function method:
where
x=x→F(x) = min F(x).
-T()=
sed,
F(x)= x, D₁ = x= R¹ x21}
Transcribed Image Text:Exercise 1. Find minimum of the function F(x) with constrains x e D,, i.e. solve the problem: F(x) = min F(x) TED, F(x)=b'x, D₂ = {xe R³, x'x=1}, x, b-S- dimensional vector. Exercise 2. Find minimum of the function F(x) with constrains x e D, using interior penalty function method: where x=x→F(x) = min F(x). -T()= sed, F(x)= x, D₁ = x= R¹ x21}
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