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Continuation of Invariant Subspaces via the Recursive Projection Method

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Abstract

The Recursive Projection Method is a technique for continuation of both the steady states and the dominant invariant subspaces. In this paper a modified version of the RPM called projected RPM is proposed. The modification underlines the stabilization effect. In order to improve the poor update of the unstable invariant subspace we have applied subspace iterations preconditioned by Cayley transform. A statement concerning the local convergence of the resulting method is proved. Results of numerical tests are presented.

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Authors and Affiliations

  1. Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 00, Prague 8, Czech Republic

    V. Janovský & O. Liberda

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  1. V. Janovský
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  2. O. Liberda
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Janovský, V., Liberda, O. Continuation of Invariant Subspaces via the Recursive Projection Method. Applications of Mathematics 48, 241–255 (2003). https://doi.org/10.1023/A:1026058514236

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  • DOI: https://doi.org/10.1023/A:1026058514236

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