Dakota Reference Manual
Version 6.4
LargeScale Engineering Optimization and Uncertainty Analysis

Compute the coefficients of a polynomial expansion using least squares
Alias: none
Argument(s): none
Default: svd
Required/Optional  Description of Group  Dakota Keyword  Dakota Keyword Description  

Optional (Choose One)  Group 1  svd  Calculate the coefficients of a polynomial chaos expansion using the singular value decomposition.  
equality_constrained  Calculate the coefficients of a polynomial chaos expansion using equality constrained least squares. 
Compute the coefficients of a polynomial expansion using least squares. Specifically SVDbased leastsquares will be used for solving overdetermined systems. For the situation when the number of function values is smaller than the number of terms in a PCE, but the total number of samples including gradient values is greater than the number of terms, the resulting overdetermined system will be solved using equality constrained least squares