Alan Jennings

TL;DR: In this article, a FORTRAN IV algorithm is presented for determining sets of dominant eigenvalues and corresponding eigenvectors of symmetric matrices, which is also extended to the solution of the natural vibration of a structure for which symmetric stiffness and mass matrices are available.

TL;DR: Simultaneous iteration methods are extensions of the power method whereby iteration is carried out with a number of trial vectors that converge onto the eigenvectors corresponding to the dominant eigenvalues.

TL;DR: A method is presented for the computer solution of symmetric linear simultaneous equations which takes advantage of the presence of zero elements away from the leading diagonal but which is more flexible than diagonal band storage.

TL;DR: In this paper, the effects of change of geometry in the analysis of rigidly jointed plane frames when using the displacement method are considered, where members are split into a moderate number of submembers.