Solving the Singular Semi-Sylvester Equation Using Drazin-Inverse and DGMRES Algorithm

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2019
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Abstract
In this paper, we want to solve the singular semi-Sylvester equation using the Drazin-inverse and the Drazin-inverse generalized minimum residual method (DGMRES(m) algorithm). First, we transform the semi-Sylvester equation into a multiple linear systems. Then, we present the conditions and assumptions needed to apply the DGMRES(m) algorithm. We compare our proposed method with the Galerkin projection method in point of view CPU-time, accuracy and iteration number. Finally, by some numerical experiments, we show the efficiency of the proposed method.
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majid2019solvingturkish Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Majid Adib and
Journal turkish journal of mathematics and computer science
Year 2019
DOI
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Keywords
Semi-Sylvester equations Multiple linear systems DGM- RES algorithm

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