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ADVANCES IN FINITE ELEMENT TECHNOLOGY
Edited by: B.H.V. Topping
A Unified Set of Algorithms for Profile and Wavefront Reduction of Sparse Matrices with a Symmetric Structure
S.R.P. Medeiros, P.M. Pimenta, P. Goldenberg and R.M.L.R.F. Brasil
Department of Structural and Foundation Engineering, University of Sao Paulo, Sao Paulo, Brazil
S.R.P. Medeiros, P.M. Pimenta, P. Goldenberg, R.M.L.R.F. Brasil, "A Unified Set of Algorithms for Profile and Wavefront Reduction of Sparse Matrices with a Symmetric Structure", in B.H.V. Topping, (Editor), "Advances in Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 255-261, 1996. doi:10.4203/ccp.39.5.2
A general algorithm for profile and wavefront reduction of large sparse matrices with a symmetric structure is presented. This algorithm defines a family which encompasses, in a unified form, several well known resequencing schemes as the Sloan, Gibbs-King, Gibbs-Poole-Stockmeyer and Medeiros-Pimenta-Goldenberg algorithms.
Some large scale examples from Civil Engineering practice illustrates the power of the Medeiros-Pimenta-Goldenberg algorithm. This algorithm has again shown an overall better performance than the other members of the family. It is fast, simple and useful in Engineering Analysis where it can be employed to get efficient orderings for both profile and frontal solution schemes.
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