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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 XVIII.2

Static Condensation for Symmetric Banded Matrices with Minimum Memory Requirements

A. Recurero and J.P. Gutierrez

Eduardo Torroja Institute, Madrid, Spain

Full Bibliographic Reference for this paper
A. Recurero, J.P. Gutierrez, "Static Condensation for Symmetric Banded Matrices with Minimum Memory Requirements", in B.H.V. Topping, (Editor), "Proceedings of the Second International Conference on Civil and Structural Engineering Computing", Civil-Comp Press, Edinburgh, UK, pp 105-109, 1985. doi:10.4203/ccp.2.18.2
Abstract
An algorithm is presented which solves the following problem: Given a system of linear equations, with symmetric banded matrix, of which we are only interested in learning the values of a limited number of variables, we need to determine an equivalent system of equations - which we shall call condensed - in which only the variables of interest to us will figure.

The algorithm described makes it possible to solve this problem, using the least possible main memory. The algorithm has been implemented through a subroutine, written in BASIC, working exclusively on main memory. A second subroutine is also available, taking the data of the matrix to be condensed from a disk.

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