Introduction of Interpolation and Extrapolation Model in Lanczos-type Algorithms A13/B6 and A13/B13 to Enhance their Stability

A new method to treat the inherent instability of Lanczos-type algorithms is introduced. It enables us to capture the properties of the sequence of iterates generated by a Lanczos-type algorithm by interpolating on this sequence of points. The interpolation model found is then used to generate a poi...

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Bibliographic Details
Main Authors: Maharani, Abdellah Salhi, Rifka Amelia Suharto
Format: Article
Language:English
Published: ITB Journal Publisher 2018-08-01
Series:Journal of Mathematical and Fundamental Sciences
Subjects:
Online Access:http://journals.itb.ac.id/index.php/jmfs/article/view/5078