Rate of Convergence Estimates for Non-selfadjoint Eigenvalue Approximations

Download or read book Rate of Convergence Estimates for Non-selfadjoint Eigenvalue Approximations written by James H. Bramble and published by . This book was released on 1972 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the paper a general approximation theory for the eigenvalues and corresponding subspaces of generalized eigenfunctions of a certain class of compact operators is developed. This theory is then used to obtain rate of convergence estimates for the errors which arise when the eigenvalues of non-selfadjoint elliptic partial differential operators are approximated by Rayleigh-Ritz-Galerkin type methods using finite dimensional spaces of trial functions, e.g. spline functions. The approximation methods include several in which the functions in the space of trial functions are not required to satisfy any boundary conditions. (Author).