Abstract
This paper discusses some of the problems encountered during the solution of a large system of sparse linear equations with algebraic coefficients, using REDUCE 2. Of particular importance is intermediate expression swell, which ultimately uses up all the available storage, and produces voluminous unreadable output. By optimally ordering the equations (optimal pivoting algorithms), and decomposing the intermediate expressions, so as to share common sub-expressions (“hash coded CONS”), a considerable saving in storage is achieved. By suitably renaming frequently used common sub-expressions, using the table built up above, and outputting these first, followed by the more complex expressions, a simplification in the output occurs. These techniques are general, and may be useful in any problem with large expressions to store and output.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.