A weighted global GMRES algorithm with deflation for solving large Sylvester matrix equations
NA Zadeh, A Tajaddini, G Wu - arXiv preprint arXiv:1706.01176, 2017 - arxiv.org
The solution of large scale Sylvester matrix equation plays an important role in control and
large scientific computations. A popular approach is to use the global GMRES algorithm. In
this work, we first consider the global GMRES algorithm with weighting strategy, and
propose some new schemes based on residual to update the weighting matrix. Due to the
growth of memory requirements and computational cost, it is necessary to restart the
algorithm efficiently. The deflation strategy is popular for the solution of large linear systems …
large scientific computations. A popular approach is to use the global GMRES algorithm. In
this work, we first consider the global GMRES algorithm with weighting strategy, and
propose some new schemes based on residual to update the weighting matrix. Due to the
growth of memory requirements and computational cost, it is necessary to restart the
algorithm efficiently. The deflation strategy is popular for the solution of large linear systems …
A weighted global GMRES algorithm with deflation for solving large Sylvester matrix equations
N Azizi Zadeh, A Tajaddini, G Wu - arXiv e-prints, 2017 - ui.adsabs.harvard.edu
The solution of large scale Sylvester matrix equation plays an important role in control and
large scientific computations. A popular approach is to use the global GMRES algorithm. In
this work, we first consider the global GMRES algorithm with weighting strategy, and
propose some new schemes based on residual to update the weighting matrix. Due to the
growth of memory requirements and computational cost, it is necessary to restart the
algorithm efficiently. The deflation strategy is popular for the solution of large linear systems …
large scientific computations. A popular approach is to use the global GMRES algorithm. In
this work, we first consider the global GMRES algorithm with weighting strategy, and
propose some new schemes based on residual to update the weighting matrix. Due to the
growth of memory requirements and computational cost, it is necessary to restart the
algorithm efficiently. The deflation strategy is popular for the solution of large linear systems …
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