ALGORITHM OF ACCELERATED RESETTING SOLUTION OF LINEAR ALGEBRAIC EQUATION SYSTEMS AND ITS USE IN MATHEMATICAL MODELING OF ELECTRONIC DEVICES

Mikhail Revin, Nikolay Savyolov

2010 , VOLUME 10, NUMBER 2 ( MARCH-APRIL )

ISSN 2226-1494 (print), ISSN 2500-0373 (online)

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Nikiforov
Vladimir O.
D.Sc., Prof.

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ALGORITHM OF ACCELERATED RESETTING SOLUTION OF LINEAR ALGEBRAIC EQUATION SYSTEMS AND ITS USE IN MATHEMATICAL MODELING OF ELECTRONIC DEVICES

M. Revin, N. Savyolov

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Abstract

Numerical experiments with the developed program, realizing the variant of a Gaussian elimination method which allows getting considerable advantage in calculation speed when resetting solution of the linear algebraic equations systems are stated in the article. The analysis of a new method in comparison with Sherman Morrison’s known method is given. Application of this updating for acceleration of condition equations formation process has allowed developing the microprocessor system capable to supervise a temperature operating mode of electrotechnical object in real time.

Keywords: algebraic organization, multivariate plants, total synchronous process, eigenvector, linear casing

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