抄録
We investigate a condition number based on Enclidian norm of tridiagonal matrix which is obtained by discretizing Laplacian operator defined in one-dimensional general coordinate system. A particular stretching transformation of exponential function makes possible the analytical estimation of upper and lower bounds of the condition number. We also clarify the asymptotic behaviour of the condition number in large values of the transformation parameter, which shows the condition number comes close to the lower bound.
