A modification of the method of the least squares solution of systems of linear equations using the formalism of quantum analysis
Abstract
A modification of the method of the least squares solution of systems of linear equations using the formalism of quantum analysis
Incoming article date: 13.08.2015The purpose and objectives of this work consist in the development of regularization methods for solving systems of linear equations. For their achievements in this paper we propose a modified least squares method for solving systems of linear equations, which is based on the use of q-differentiation. Calculations based on a test of task performed in Matlab mathematical package, confirmed the adequacy of the method and in some cases have shown its advantage over traditional methods for the regularization of systems of linear equations.
Keywords: system of linear equations, the objective function, the gradient method, iterative method, modeling, algorithm, function extremum, q-derivative, relative error, norm of the vector, the conditionality of the problem