A Modified Low-Rank Smith Method for Large-Scale Lyapunov Equations

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dc.contributor.authorAntoulas, A.C.en_US
dc.contributor.authorSorensen, D.C.en_US
dc.contributor.authorGugercin, S.en_US
dc.date.accessioned2018-06-18T17:48:43Zen_US
dc.date.available2018-06-18T17:48:43Zen_US
dc.date.issued2001-05en_US
dc.date.noteMay 2001en_US
dc.description.abstractIn this note we present a modified cyclic low-rank Smith method to compute low-rank approximations to solutions of Lyapunov equations arising from large-scale dynamical systems. Unlike the original cyclic low-rank Smith method introduced by Penzl in [18], the number of the columns in the approximate solutions does not necessarily increase at each step. The number of columns required by the modified method is usually much lower than the original cyclic low-rank Smith method. The modified method never requires more columns than the original. Upper bounds are established for the errors in the low-rank approximate solutions and also for the errors in the resulting approximate Hankel singular values. Numerical results are given to verify the efficiency and accuracy of the new algorithm.en_US
dc.format.extent19 ppen_US
dc.identifier.citationAntoulas, A.C., Sorensen, D.C. and Gugercin, S.. "A Modified Low-Rank Smith Method for Large-Scale Lyapunov Equations." (2001) <a href="https://hdl.handle.net/1911/101972">https://hdl.handle.net/1911/101972</a>.en_US
dc.identifier.digitalTR01-10en_US
dc.identifier.urihttps://hdl.handle.net/1911/101972en_US
dc.language.isoengen_US
dc.titleA Modified Low-Rank Smith Method for Large-Scale Lyapunov Equationsen_US
dc.typeTechnical reporten_US
dc.type.dcmiTexten_US
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