REMARK ON THE EIGENVALUE DISTRIBUTION OF THE PRECONDITIONING COLLOCATION SCHEME WITH P-3 FINITE ELEMENT STIFFNESS MATRIX

摘要

For the preconditioning collocation scheme using a Hermite (or interpolatory) cubic spline basis for a 1D elliptic model problem, we prove that the multiplicity of the minimal eigenvalue 1 is the half the order of the preconditioned collocation matrix. [References: 6]