TROY -- Altair Engineering Inc. announced the availability of an automated multilevel substructuring eigenvalue solver that dramatically cuts the time required to compute eigenvalues for analysis in ...

To compute eigenvalues and eigenvectors, you can use the U and s results from SVD. Whew! Sorting the Eigenvalues and Eigenvectors The next step in PCA is to sort the eigenvalues and their associated ...

Abstract.In this note we consider the problem of localization and approximation of eigenvalues of operators on infinite dimensional Banach and Hilbert spaces. This problem has been studied for ...

A new mathematical “shortcut” is speeding up molecular absorption calculations by a factor of five, so simulations that used to take 10 to 15 hours to compute can now be done in approximately 2.5 ...

result in a principal component analysis. The output includes all the eigenvalues and the pattern matrix for eigenvalues greater than one. proc factor data=raw method=principal scree mineigen=0 score ...

It is well-known that the radial component of a Dirichlet eigenfunction of an odd dimensional spherical cap is a rational function of finitely many trigonometric functions. More consideration shows ...