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Some new restart vectors for explicitly restarted Arnoldi method

Zeinab Abadi; Seyed Abolfazl Shahzadeh Fazeli; Seyed Mehdi Karbassi

Volume 51, Issue 1 , June 2019, , Pages 91-105

https://doi.org/10.22059/jac.2019.71545

Abstract
  The explicitly restarted Arnoldi method (ERAM) can be used to find some eigenvalues of large and sparse matrices. However, it has been shown that even this method may fail to converge. In this paper, we present two new methods to accelerate the convergence of ERAM algorithm. In these methods, we apply ...  Read More