TY - JOUR T1 - Spectral Analysis of the First-Order Hermite Cubic Spline Collocation Differentiation Matrices AU - Wu , Ji-Ming AU - Shen , Long-Jun JO - Journal of Computational Mathematics VL - 5 SP - 551 EP - 560 PY - 2002 DA - 2002/10 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8940.html KW - Spline collocation, Differentiation matrices, Spectral analysis. AB -

It has been observed numerically in [1] that, under certain conditions, all eigenvalues of the first-order Hermite cubic spline collocation differentiation matrices with unsymmetrical collocation points lie in one of the half complex planes. In this paper, we provide a theoretical proof for this spectral result.