4. Methods for uTf (A)v
In this section we describe how to use quadrature methods to calculate approximations of uTf (A)v (see ). The matrix A is assumed to be real symmetric and we use the spectral decomposition of A written as A = ZDZT, where Z is an orthonormal matrix whose columns are the normalized eigenvectors of A and D is a diagonal matrix whose diagonal elements are the eigenvalues λi of A, which are ordered as follows
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Methods for uTf (A)v
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