Gram-Schmidt-Gauss method for solving systems of linear equations in the GMDH

Kondrashova N.V.

The recurrent decision method of linear algebraic equations systems (LAES) is considered for models identification with the imbedded structures. Grama-Shmidta’s method is used for projection of initial variables vectors system into orthonormal one and backward motion of Gausse’s method for LAES parameters determination. It is demonstrated that such decision method takes the least calculate time as compared to the known recurrent and non-recurrent direct (or exact) methods for LAES decisions.

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