Hessian Matrix: It's a square matrix of second-order partial derivatives of a scalar-valued function. It describes the local curvature of a function of many variables.
Curvature: The curvative is the amount by which a curve deviates from being a straight line, or a surface deviates from being a plane.
Second Order Derivatives: In calculus, the second order derivative (aka, second derivative), of a function is the derivative of the derivative of f.
Second-Order Partial Derivatives:
Partial Derivatives: In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant.
Newton's Method: It's a root-finding algorithm which produces successively better approximations to the roots of a real-valued function.
Others:
Function: In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.
Implicit Function: A implicit function is a function that is defined by an implicit equation, that relates one of the variables, considered as the value of the function, with the others considered as the arguments.
Implicit Equation: In mathematics, implicit equation is a relation of the form , where R is a function of several varibales (often a polynomial).
Explicit Function: Explicit function is a function when the equation represent a variable explicitly by another variable.
Tangent Line: In geometry, the tangent line to a plane curve at a given point is the straight line that just touches the curve at that point.
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