Chebyshev HOPGD with sparse grid sampling for parameterized linear systems

Siobhán Correnty, Melina A. Freitag, Kirk M. Soodhalter

We consider approximating solutions to parameterized linear systems of the form $A(\hat{I}{¼}_1,\hat{I}{¼}_2)x(\hat{I}{¼}_1,\hat{I}{¼}_2)=b$. Here the matrix $A(\hat{I}{¼}_1,\hat{I}{¼}_2)\in {\mathbb{R}}^{n\times n}$ is nonsi…