Premium
A direct linear system solver with small core requirements
Author(s) -
Recuero A.,
Gutierrez J. P.
Publication year - 1979
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620140502
Subject(s) - solver , fortran , diagonal , gaussian elimination , system of linear equations , core (optical fiber) , computer science , direct methods , boundary (topology) , gauss , mathematical optimization , computational science , algorithm , mathematics , geometry , programming language , mathematical analysis , telecommunications , physics , nuclear magnetic resonance , quantum mechanics , gaussian
This paper present an algorithm and its corresponding FORTRAN IV program which solves a system of simultaneous equations of the type generated in structural analysis. It is based on the Gauss elimination method, so it is a direct method. But it only needs to have in core as many equations as it can contain, with a minimum of two. The program offers the following advantages: (a) Takes into account zeros to avoid operations. (b) Considers very big numbers in the diagonal, corresponding to boundary conditions, to avoid operations. (c) It can handle several load cases either simultaneously or in groups, at choice.