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ShawnL00inducer
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Update sufficient condition to positive definite
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@@ -4184,7 +4184,7 @@ Assume \(f\) is smooth, i.e. has all needed derivatives.
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- Necessary: \(\nabla f (\B{x}^\ast ) = 0\) (i.e.
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\(\B{x}^\ast\) is an extremal point)
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- Sufficient: \(\nabla f (\B{x}^\ast ) = 0\) and \(H_f (\B{x}^\ast )\) positive semidefinite
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- Sufficient: \(\nabla f (\B{x}^\ast ) = 0\) and \(H_f (\B{x}^\ast )\) positive definite
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(implies \(x^\ast\) is a local minimum)
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