well-posed problem

(redirected from Ill posed)

well-posed problem

[′wel ¦pōzd ′präb·ləm]
(mathematics)
A problem that has a unique solution which depends continuously on the initial data.
References in periodicals archive ?
The information provided by those observations, in conjunction with background theory, is insufficient to uniquely determine the state estimate, so the problem can be described as ill posed.
Davies presents a textbook on how to relate a given data set and a given model, noting that in general there will be more than one model that is an adequate approximation to the data, so that most statistical problems are ill posed and require regularization of the model itself or of the operations that are preformed on the data.