Numerical method
Numerical method In numerical analysis , a numerical method is a mathematical tool designed to solve numerical problems. The implementation of a numerical method with an appropriate convergence check in a programming language is called a numerical algorithm. Mathematical definition [ edit ] Let � ( � , � ) = 0 be a well-posed problem , i.e. � : � × � → � is a real or complex functional relationship, defined on the cross-product of an input data set � and an output data set � , such that exists a locally lipschitz function � : � → � called resolvent , which has the property that for every root ( � , � ) of � , � = � ( � ) . We define numerical method for the approximation of � ( � , � ) = 0 , the sequence of problems { � � } � ∈ � = { � � ( � � , � � ) = 0 } � ∈ � , with � � : � � × � � → � , � � ∈...