Regularization of the solution to degenerate systems of algebraic equations exemplified by identification of the virial equation of state of a real gas
Abstract:
Thermodynamic calculation of a cycle in a two-phase region requires an equation of state of the working medium, which is used as a virial equation with unknown temperature functions. A degenerate system of algebraic equations has been constructed for unknown coefficients, which are the values of virial functions on a temperature mesh. Based on the regularization method, a variational-iterative algorithm for solving a degenerate system of equations has been developed. A computational experiment to confirm the effectiveness of the method was carried out.
Key words:system of algebraic equations, singular matrix, regularization method, equation of state, real gas, virial coefficients.
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