الفهرس | Only 14 pages are availabe for public view |
Abstract We have investigated four different systems of linear algebraic equations arising from plane singular boundary-value problems for Laplace’s equation in rectangular regions, with the aim of comparing the efficiency of three methods of solution: the QR-Factorization Method contaminated with noise, the Dynamical systems Method and the Variational Regularization Method. In each case, we have studied thoroughly the matrix of coefficients. We have reached some conclusions concerning the relative efficiency of the three above-mentioned methods of solution. Moreover, it turns out that it is the minimum singular value of the matrix of coefficients, and not the condition number, that intervenes in determining the efficiency of the QR-Factorization Method. |