On Round-Off Errors in Linear Programming

H. Müller-Merbach

ISBN 10: 3540049606 / ISBN 13: 9783540049609

Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg Jan 1970, 1970

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 60 pp. Englisch.

Seller Inventory # 9783540049609

Bibliographic Details

• Title: On Round-Off Errors in Linear Programming
• Publisher: Springer Berlin Heidelberg, Springer Berlin Heidelberg Jan 1970
• Publication Date: 1970
• Language: English
• ISBN 10: 3540049606
• ISBN 13: 9783540049609
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

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.