Mathematical software for microcomputers


Abstract: This study is concerned with designing and implementing a portable numerical software library suitable for microcomputers. The nature and use of microcomputers are examined and from this examination and the type of user community expected, the aims of the library are then established. These aims help to determine the nature of the library. Having established the nature of the library, each area in mathematical computation for which routines are to be written is then examined. Algorithms whose implementations satisfy certain criteria such as reliability, suitability for microcomputers, speed are selected for inclusion in the library. The library is written in such a way that a double precision version of the library can easily be made from the available single precision version. Suggestions as to how the library can be tuned are also given. Appendices: The first appendix describes how the library is installed and used. The others are the documentations of the various routines implementing the selected algorithms. Each routine is described and in most cases an example is given to show how it is used. Areas in mathematical comμutatlon for which routines are available are algebraic linear systems, nonlinear functions, polynomials, quadrature, ordinary differential equations, minimization, least squares approximation and special functions.

Additional Information: Copyright © Emmanuel Amano Onibere, 1981. Emmanuel Amano Onibere asserts their moral right to be identified as the author of this thesis. This copy of the thesis has been supplied on condition that anyone who consults it is understood to recognise that its copyright rests with its author and that no quotation from the thesis and no information derived from it may be published without appropriate permission or acknowledgement. If you have discovered material in Aston Publications Explorer which is unlawful e.g. breaches copyright, (either yours or that of a third party) or any other law, including but not limited to those relating to patent, trademark, confidentiality, data protection, obscenity, defamation, libel, then please read our Takedown Policy and contact the service immediately. Department: Computer Centre
Institution: Aston University
Uncontrolled Keywords: microcomputer,numerical,software,portable,Fortran
Last Modified: 06 Dec 2023 08:14
Date Deposited: 07 Feb 2011 11:36
Completed Date: 1981-10
Authors: Onibere, Emmanuel A.

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