Dakota Reference Manual
Version 6.4
LargeScale Engineering Optimization and Uncertainty Analysis

Local multipoint model via twopoint nonlinear approximation
Alias: none
Argument(s): none
TANA stands for Two Point Adaptive Nonlinearity Approximation.
The TANA3 method[91] is a multipoint approximation method based on the two point exponential approximation[24]. This approach involves a Taylor series approximation in intermediate variables where the powers used for the intermediate variables are selected to match information at the current and previous expansion points.
The form of the TANA model is:
where is the number of variables and:
and and are the current and previous expansion points. Prior to the availability of two expansion points, a firstorder Taylor series is used.