Lanczos method applied to the solution of eigenvalue problems of cyclic symmetric structures
TL;DR: The application of the Lanczos algorithm for the solution of eigenvalue problems connected with cyclic symmetric objects is studied and it is shown that the approach remarkably reduces the computational effort without loss of accuracy.
About: This article is published in Computers & Structures.The article was published on 1990-01-01. It has received None citations till now. The article focuses on the topics: Lanczos approximation & Lanczos resampling.
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TL;DR: HAL as mentioned in this paper is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not, which may come from teaching and research institutions in France or abroad, or from public or private research centers.
Abstract: HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.
356 citations
TL;DR: In this article, a recent version of the Lanczos method and the subspace method were used to solve the eigen problem in structural analysis and the advantages of these methods were discussed.
Abstract: In this paper we consider solution of the eigen problem in structural analysis using a recent version of the Lanczos method and the subspace method. The two methods are applied to examples and we conclude that the Lanczos method has advantages which are too good to overlook.
86 citations
TL;DR: In this paper, a rotationally periodic structure consisting of a finite number of identical sub-structures forming a closed ring is considered, and all the modes can be found from matrix analyses of a single sub-structure.
61 citations
TL;DR: The Lanczos method is programmed in a truncated version where the generalized eigenvalue problem is transformed into a standard eigenproblem of a tri-diagonal matrix of reduced order and it is now a very efficient method for the partial eigensolution of large, sparse, symmetric matrices.
30 citations