@Article{EAJAM-4-3,
author = {},
title = {An Efficient Algorithm to Construct an Orthonormal Basis for the Extended Krylov Subspace},
journal = {East Asian Journal on Applied Mathematics},
year = {2014},
volume = {4},
number = {3},
pages = {267--282},
abstract = {<p style="text-align: justify;">Subspace projection methods based on the Krylov subspace using powers of a
matrix $A$ have often been standard for solving large matrix computations in many areas
of application. Recently, projection methods based on the extended Krylov subspace
using powers of $A$ and $A^{−1}$ have attracted attention, particularly for functions of a matrix
times a vector and matrix equations. In this article, we propose an efficient algorithm
for constructing an orthonormal basis for the extended Krylov subspace. Numerical
experiments indicate that this algorithm has less computational cost and approximately
the same accuracy as the traditional algorithm.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.240413.020614a},
url = {https://global-sci.com/article/82805/an-efficient-algorithm-to-construct-an-orthonormal-basis-for-the-extended-krylov-subspace}
}