Using Lanczos vectors and Ritz vectors for computing dynamic responses

Abstract

The Lanczos vectors and the Ritz vectors have been used for computing the dynamic response of linear structures. Although the procedures of using these two sets of vectors appear similar to the procedure of using the eigenvectors to find an approximate solution, the fundamental mechanisms of the three are different. We compare the three sets of vectors in detail to show some of the important differences in the hope that this comparison will be helpful to the use of the Lanczos vectors or the Ritz vectors for computing dynamic responses.

Citation

Chen, H.C. and Taylor, R.L. (1989), "Using Lanczos vectors and Ritz vectors for computing dynamic responses", Engineering Computations, Vol. 6 No. 2, pp. 151-157. https://doi.org/10.1108/eb023769