On Round-Off Errors in Linear Programming:
Due to the limited number of digits or bits per storage location in electronic computers, round-off errors arise during arithmetic operations. Depending upon the kind of operation, the structure of the data, and the skillfulness of the program, these errors increase and spread out more or less quick...
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1970
|
Ausgabe: | 1st ed. 1970 |
Schriftenreihe: | Lecture Notes in Economics and Mathematical Systems
37 |
Schlagworte: | |
Online-Zugang: | BTU01 Volltext |
Zusammenfassung: | Due to the limited number of digits or bits per storage location in electronic computers, round-off errors arise during arithmetic operations. Depending upon the kind of operation, the structure of the data, and the skillfulness of the program, these errors increase and spread out more or less quickly during a continued computation process in which the computed data affected by errors are themselves used for generating new data. The purpose of this investigation was to learn about the increase of round-off errors in linear programming procedures. Less attention was paid to the theory of round-off errors or to the effectiveness of error elimination procedures. In regard to these questions the results of in vestigations which have been made on round-off errors in a more general context dealing with matrix inversion and eigenvalue problems could be used for the purposes of this paper. The emphasis of this investigation lay rather on studying the behavior of typical linear programming problems from the pOint of view of error cumulation |
Beschreibung: | 1 Online-Ressource (VI, 50 p) |
ISBN: | 9783642951671 |
DOI: | 10.1007/978-3-642-95167-1 |
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edition | 1st ed. 1970 |
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index_date | 2024-07-03T15:15:36Z |
indexdate | 2024-07-10T08:56:08Z |
institution | BVB |
isbn | 9783642951671 |
language | English |
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series2 | Lecture Notes in Economics and Mathematical Systems |
spelling | Müller-Merbach, H. Verfasser aut On Round-Off Errors in Linear Programming by H. Müller-Merbach 1st ed. 1970 Berlin, Heidelberg Springer Berlin Heidelberg 1970 1 Online-Ressource (VI, 50 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Economics and Mathematical Systems 37 Due to the limited number of digits or bits per storage location in electronic computers, round-off errors arise during arithmetic operations. Depending upon the kind of operation, the structure of the data, and the skillfulness of the program, these errors increase and spread out more or less quickly during a continued computation process in which the computed data affected by errors are themselves used for generating new data. The purpose of this investigation was to learn about the increase of round-off errors in linear programming procedures. Less attention was paid to the theory of round-off errors or to the effectiveness of error elimination procedures. In regard to these questions the results of in vestigations which have been made on round-off errors in a more general context dealing with matrix inversion and eigenvalue problems could be used for the purposes of this paper. The emphasis of this investigation lay rather on studying the behavior of typical linear programming problems from the pOint of view of error cumulation Operations Research/Decision Theory Economic Theory/Quantitative Economics/Mathematical Methods Operations research Decision making Economic theory Erscheint auch als Druck-Ausgabe 9783540049609 Erscheint auch als Druck-Ausgabe 9783642951688 https://doi.org/10.1007/978-3-642-95167-1 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Müller-Merbach, H. On Round-Off Errors in Linear Programming Operations Research/Decision Theory Economic Theory/Quantitative Economics/Mathematical Methods Operations research Decision making Economic theory |
title | On Round-Off Errors in Linear Programming |
title_auth | On Round-Off Errors in Linear Programming |
title_exact_search | On Round-Off Errors in Linear Programming |
title_exact_search_txtP | On Round-Off Errors in Linear Programming |
title_full | On Round-Off Errors in Linear Programming by H. Müller-Merbach |
title_fullStr | On Round-Off Errors in Linear Programming by H. Müller-Merbach |
title_full_unstemmed | On Round-Off Errors in Linear Programming by H. Müller-Merbach |
title_short | On Round-Off Errors in Linear Programming |
title_sort | on round off errors in linear programming |
topic | Operations Research/Decision Theory Economic Theory/Quantitative Economics/Mathematical Methods Operations research Decision making Economic theory |
topic_facet | Operations Research/Decision Theory Economic Theory/Quantitative Economics/Mathematical Methods Operations research Decision making Economic theory |
url | https://doi.org/10.1007/978-3-642-95167-1 |
work_keys_str_mv | AT mullermerbachh onroundofferrorsinlinearprogramming |