@Article{IJNAM-3-3, author = {}, title = {A Posteriori Error Estimator for Spectral Approximations of Completely Continuous Operators}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2006}, volume = {3}, number = {3}, pages = {361--370}, abstract = {

In this paper, we study numerical approximations of eigenvalues when using projection method for spectral approximations of completely continuous operators. We improve the theory depending on the ascent of $T - \mu$ and provide a new approach for error estimate, which depends only on the ascent of $T_h - \mu_h$. Applying this estimator to the integral operator eigenvalue problems, we obtain asymptotically exact indicators. Numerical experiments are provided to support our theoretical conclusions.

}, issn = {2617-8710}, doi = {https://doi.org/2006-IJNAM-907}, url = {https://global-sci.com/article/83833/a-posteriori-error-estimator-for-spectral-approximations-of-completely-continuous-operators} }