THE CONDITION OF CERTAIN MATRICES. I

Two measures of the condition of a certain matrix are calculated. The matrix is that of the system of linear algebraic equations arising in the approximate solution of the partial differential equation $∂2z∂x2+∂2z∂y2=kz$ The results obtained confirm analytically the experimental fact (observed by computers) that the condition of this matrix is better than that of the corresponding matrix in the case of the ordinary differential equation y′ = ky.