The accuracy of hardware realization of transformation vector's rotation

Authors

  • Babenko V.N. Kuban State University, Krasnodar, Российская Федерация

UDC

[004.3+681.3]: 619.67

Abstract

Development of algorithms and designing of devices for their realization are the important factor of increase of productivity of computing systems. Earlier the author had been submitted algorithm of inversion of a divider and application of algorithm for performance of normalization of a vector. Then the description of devices of normalization of a vector has been given and research of their accuracy is made. The device of normalization of a vector is a component of the device of vector’s rotation. The process of accumulation of errors in calculations investigated in the device of vector’s rotation by methods of the numerical analysis. The addition younger bits allocated for restriction of growth of errors in this device on adders for a mantissa to the basic bits. As a result of investigations the attitudes of between numbers of the basic and additional bits are established.

Keywords:

machine number, algorithm, convergence, regularity, profitability, device of vector’s rotation, error of calculation

Author Info

Viktor N. Babenko

канд. физ.-мат. наук, доцент кафедры математических и компьютерных методов Кубанского государственного университета

e-mail: rnibvd@mail.ru

References

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  2. Babenko V.N. Sposob povyshenija skorosti shodimosti processa annulirovanija odnoj komponenty dvumernogo vektora preobrazovanijami psevdovrashenija [The Way of increase speed of convergence process of nulling one component of binariate vector by transformation of psevdorotation]. Izvestija vuzov. Severo-Kavkazskij region. Tehnicheskie nauki [Proc. of the Universities. North-Caucasian region. Engineering], 2009, Spets. vypusk [Special Iss.], pp. 33-39. (In Russian)
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  4. Babenko V.N. Algoritm inversii delitelja [Inversion algorithm ivider]. Ekologicheskiy vestnik nauchnykh tsentrov Chernomorskogo ekologicheskogo sotrudnichestva [Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation], 2013, no. 4, vol. 1, pp. 19-25. (In Russian)
  5. Babenko V.N. Nakoplenie pogreshnostej pri apparaturnoj realizacii algoritma normirovki [Accumulation of errors at hardware realization of algorithm of normalization]. Ekologicheskiy vestnik nauchnykh tsentrov Chernomorskogo ekologicheskogo sotrudnichestva [Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation], 2014, № 2, pp. 5-12. (In Russian)
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Issue

2014. No. 3

Pages

5-14

Submitted

2014-07-02

Published

2014-09-29

How to Cite

Babenko V.N. The accuracy of hardware realization of transformation vector's rotation. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2014, no. 3, pp. 5-14. (In Russian)

Copyright (c) 2014 Babenko V.N.

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