On Round-Off Errors in Linear Programming (Lecture Notes in Economics and Mathematical Systems, 37)

M�ller-Merbach, H.

ISBN 10: 3540049606 ISBN 13: 9783540049609

Editorial: Springer, 1970

Idioma: Ingl�s

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T�tulo

On Round-Off Errors in Linear Programming (Lecture Notes in Economics and Mathematical Systems, 37)

Editor

Springer

Fecha de publicaci�n

1970

Idioma

Ingl�s

ISBN 10

3540049606

ISBN 13

9783540049609

Encuadernaci�n

Encuadernaci�n de tapa blanda

Estado

New

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Sinopsis

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.

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