Low rank approximate solutions obtained from a different application of global arnoldi method

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:31 Issue:1
Low rank approximate solutions obtained from a different application of global arnoldi method

Low rank approximate solutions obtained from a different application of global arnoldi method

Authors : A Burcu ÖZYURT SERİM, Mustafa BAYRAM

Pages : 34-42

View : 36 | Download : 7

Publication Date : 2013-03-01

Article Type : Review Paper

Abstract :The aim of this paper is to examine a numerical method for the computation of approximate solution of the continuous-time algebraic Riccati equation using Krylov subspace matrix. First of all, Global Arnoldi process is initiated to construct an orthonormal basis. In addition, Krylov subspace matrix is employed as projection method because it is one of the frequently referred method in the literature. Lastly, some numerical examples are given in order to explain how this method works.
Keywords : Algebraic Riccati equation, Krylov subspace, Arnoldi

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