The method of solution of equations with coefficients that contain measurement errors, using artificial neural network

This paper presents an algorithm for solving N-equations of N-unknowns. This algorithm allows to determine the solution in a situation where coefficients Ai in equations are burdened with measurement errors. For some values of Ai (where i = 1,…, N), there is no inverse function of input equations. In this case, it is impossible to determine the solution of equations of classical methods.

[1]  Stanislaw Duer,et al.  Diagnostic system with an artificial neural network which determines a diagnostic information for the servicing of a reparable technical object , 2010, Neural Computing and Applications.

[2]  Stanislaw Duer,et al.  Diagnostic system with an artificial neural network in diagnostics of an analogue technical object , 2010, Neural Computing and Applications.

[3]  Stanislaw Duer,et al.  Modelling of the operation process of repairable technical objects with the use information from an artificial neural network , 2011, Expert Syst. Appl..

[4]  Stanislaw Duer Applications of an artificial intelligence for servicing of a technical object , 2011, Neural Computing and Applications.

[5]  Stanislaw Duer,et al.  Investigation of the operation process of a repairable technical object in an expert servicing system with an artificial neural network , 2010, Neural Computing and Applications.

[6]  Stanislaw Duer,et al.  Qualitative evaluation of the regeneration process of a technical object in a maintenance system with an artificial neural network , 2011, Neural Computing and Applications.

[7]  Stanislaw Duer,et al.  Diagnostic system for the diagnosis of a reparable technical object, with the use of an artificial neural network of RBF type , 2010, Neural Computing and Applications.

[8]  Stanislaw Duer Examination of the reliability of a technical object after its regeneration in a maintenance system with an artificial neural network , 2011, Neural Computing and Applications.

[9]  Stanislaw Duer Artificial neural network in the control process of object’s states basis for organization of a servicing system of a technical objects , 2011, Neural Computing and Applications.

[10]  Stanisław Duer,et al.  Expert Knowledge Base to Support Maintenance of a Radar System , 2010 .

[11]  Stanislaw Duer Assessment of the quality of decisions worked out by an artificial neural network (DIAG) which diagnoses a technical object , 2011, Neural Computing and Applications.

[12]  Stanisław Duer,et al.  Artificial Neural Network-based Technique for Operation Process Control of a Technical Object , 2009 .

[13]  K. Zajkowski,et al.  Analysis of overvoltages on inductive system with varistor and capacitor , 2009 .

[14]  J. L. Jakubowski Technika wysokich napięć , 1951 .