Key words: oilfield equipment, classification, forecasting, chain fractions, linear algebra.
An approach to solving the problem of oilfield equipment state classification, based on the construction of systems of linear algebraic equations of high dimensionality, is considered. A fundamentally new algorithm for solving the systems of linear algebraic equations, using the so-called corresponding chain fractions, which is often referred to as proper C-fractions, is suggested. The proposed algorithm for solving the systems of linear algebraic equations, although based on the classical iterative algorithms of Jacobi and Seidel, belongs to the category of exact algorithms, providing the solving systems in a finite number of operations . It is shown that the developed algorithm allows to solve ill-conditioned systems of linear algebraic equations, as well as systems with random matrices. The efficiency of the algorithm for solving the systems of linear algebraic equations is confirmed by comparison with the algorithms of simple Gauss – Seidel iteration.
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