© Haksun Li, PhD 2022
H. Li, PhDNumerical Methods Using Javahttps://doi.org/10.1007/978-1-4842-6797-4_9

9. Unconstrained Optimization

Haksun Li, PhD1  
(1)
Hong Kong, China
 
Unconstrained optimization finds a variable (or a set of variables) that minimize or maximize an objective function without restrictions on their values. Mathematically, it says, find x such that function f(x) takes the smallest value.
$$ {x}^{\ast }=\underset{x}{\min }f(x) $$

x may be a scalar (in 1) or a vector (in n). f(x) is always a scalar (in 1). Unconstrained optimization has applications in many branches of science. In finance, constructing a yield curve involves finding a set of parameters to minimize the difference ...

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