CUED Publications database

Cubically convergent iterations for invariant subspace computation

Absil, PA and Sepulchre, R and Van Dooren, P and Mahony, R (2005) Cubically convergent iterations for invariant subspace computation. SIAM Journal on Matrix Analysis and Applications, 26. pp. 70-96. ISSN 0895-4798

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We propose a Newton-like iteration that evolves on the set of fixed dimensional subspaces of ℝ n and converges locally cubically to the invariant subspaces of a symmetric matrix. This iteration is compared in terms of numerical cost and global behavior with three other methods that display the same property of cubic convergence. Moreover, we consider heuristics that greatly improve the global behavior of the iterations.

Item Type: Article
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:21
Last Modified: 31 Aug 2021 08:56
DOI: 10.1137/S0895479803422002