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An overlaying technique for solving linear equations in real-time computing

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1 Author(s)
Berkovich, S.Y. ; Dept. of Electr. Eng. & Comput. Sci., George Washington Univ., Washington, DC, USA

A computer organization for solving a continuous stream of sets of linear equations A×b with relatively close consecutive parameters is described. The conditions of closeness enabling this technique are monitored during the computations. The cycles of the computational process are divided into two stages: finding a solution of a current set of linear equations by multiplying components of a polynomial approximation of the inverse matrix by a right-hand-side vector; and calculating this inverse matrix in order to arrange for an approximation of the next inverse matrix. The former procedure can be performed in O(n2) operations, reducing the time for obtaining the solution of linear equations. The more lengthy calculation of the inverse itself, which requires O(n3) operations, can overlay the preparation of the upcoming set of equations in the next cycle. The approach can be effectively utilized for organization of real-time computations

Published in:

Computers, IEEE Transactions on  (Volume:42 ,  Issue: 5 )

Date of Publication:

May 1993

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