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'n Algoritme vir kleinstekwarate-benadering
Dissertation (MSc)--University of Pretoria, 1977.
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| Format: | Thesis |
| Language: | Afrikaans |
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University of Pretoria
2014
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| _version_ | 1867613449723314176 |
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| access_status_str | Open Access |
| author2 | Sauer, N. (Niko) |
| author_browse | Sauer, N. (Niko) |
| author_facet | Sauer, N. (Niko) |
| collection | Thesis |
| dc_rights_str_mv | © 1977 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. |
| description | Dissertation (MSc)--University of Pretoria, 1977. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/41938 |
| institution | University of Pretoria (South Africa) |
| language | Afrikaans |
| last_indexed | 2026-06-10T12:36:19.976Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/41938 'n Algoritme vir kleinstekwarate-benadering Sauer, N. (Niko) Schaafsm, August 'n Algoritme Kleinstekwadrate-benaderings Rekenaarprogram Ontwikkel UCTD Dissertation (MSc)--University of Pretoria, 1977. Die doel van hierdie verhandeling is om 'n algoritme vir kleinstekwadrate-benaderings te vind en om met behulp van die algoritme 'n rekenaarprogram te ontwikkel vir die minimering van die kleinstekwadrate- benadering en die passings van krommes deur gegewe eksperimentele data. Eerstens word die norm en die pseudo-inverse van matrikse sowel as Householder-transformasies bespreek, aangesien ons daarvan gebruik maak in die oplossing van ons probleem. In die lineere kleinstekwadrate-probleem word die koeffisiente matriks A ontbind in 'n produk van 'n ortogonale en 'n bo-driehoeksmatriks. Hierdie produk word dan gebruik om die pseudo-inverse van A te verkry. Die algoritme wat ontwikkel is vir die nie-lineere kleinstekwadrate- probleem is gebaseer op die Gauss-Newton-Marquardt-metode, waar met elke stap 'n lineere kleinstekwadrate-probleem opgelos word. Resultate wat met behulp van die algoritme verkry is, word ook vergelyk met die resultate van ander algoritmes. gm2014 Mathematics and Applied Mathematics Unrestricted 2014-09-05T12:09:23Z 2014-09-05T12:09:23Z 1977-10-31 1977 Dissertation Schaafsm, A 1977, 'n Algoritme vir kleinstekwarate-benadering, MSc dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/41938> E14/4/563/gm http://hdl.handle.net/2263/41938 Afrikaans © 1977 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria |
| spellingShingle | 'n Algoritme Kleinstekwadrate-benaderings Rekenaarprogram Ontwikkel UCTD 'n Algoritme vir kleinstekwarate-benadering |
| title | 'n Algoritme vir kleinstekwarate-benadering |
| title_full | 'n Algoritme vir kleinstekwarate-benadering |
| title_fullStr | 'n Algoritme vir kleinstekwarate-benadering |
| title_full_unstemmed | 'n Algoritme vir kleinstekwarate-benadering |
| title_short | 'n Algoritme vir kleinstekwarate-benadering |
| title_sort | n algoritme vir kleinstekwarate benadering |
| topic | 'n Algoritme Kleinstekwadrate-benaderings Rekenaarprogram Ontwikkel UCTD |
| url | http://hdl.handle.net/2263/41938 |