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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 2/3
PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON CIVIL AND STRUCTURAL ENGINEERING COMPUTING Edited by: B.H.V. Topping
Paper XIX.1
Rank-Updating Techniques in Reanalysis A. Jennings
Department of Civil Engineering, The Queen's University of Belfast A. Jennings, "Rank-Updating Techniques in Reanalysis", in B.H.V. Topping, (Editor), "Proceedings of the Second International Conference on Civil and Structural Engineering Computing", Civil-Comp Press, Edinburgh, UK, pp 119-123, 1985. doi:10.4203/ccp.2.19.1
Abstract
Non-linear analysis and interactive design are two application areas where it may be required to solve simultaneous equations whose coefficient matrix has been only slightly modified in relation to a previous set of equations for which a factorisation of the coefficient matrix is available. The role of the rank of the update is highlighted and methods of obtaining a revised factorisation are discussed which take advantage of low rank in the update. Finally the relative merits of updating are discussed in relation to refactorisation or solving a set of supplementary equations.
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