NDLI: Interval mathematics algorithms for tolerance analysis

Content Provider	IEEE Xplore Digital Library
Author	Kolev, L.V. Mladenov, V.M. Vladov, S.S.
Copyright Year	1974
Abstract	Two iterative algorithms for tolerance analysis of linear electrical circuits are suggested. They are based on the mean-value-form representation of the function considered and involve the internal computation of its first-order partial derivatives. Two modified mean-value forms for computing the interval extensions of multivariate functions are introduced. It is proved that under appropriate conditions these forms assure narrower interval enclosures of the range as compared with other known forms. Thus the use of the modified mean-value forms substantially improves the convergence speed of algorithms. The improved mechanical efficiency of the algorithms is illustrated by three examples, confirming that they require less computer time and memory volume than other first-order interval techniques.<>
Starting Page	967
Ending Page	975
Page Count	9
File Size	755465
File Format	PDF
ISSN	00984094
Volume Number	35
Issue Number	8
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1988-08-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Mathematics Tolerance analysis Iterative algorithms Computational efficiency Convergence of numerical methods Circuit theory Mathematical programming Statistical analysis Arithmetic Circuits and systems
Content Type	Text
Resource Type	Article
Subject	Engineering

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