Absil, P-A and Mahony, R and Sepulchre, R and Van Dooren, P (2002) A Grassmann-Rayleigh quotient iteration for computing invariant subspaces. SIAM Review, 44. pp. 57-73. ISSN 0036-1445Full text not available from this repository.
The classical Rayleigh quotient iteration (RQI) allows one to compute a one-dimensional invariant subspace of a symmetric matrix A. Here we propose a generalization of the RQI which computes a p-dimensional invariant subspace of A. Cubic convergence is preserved and the cost per iteration is low compared to other methods proposed in the literature.
|Uncontrolled Keywords:||Grassmann manifold Invariant subspace Rayleigh quotient iteration|
|Divisions:||Div F > Control|
|Depositing User:||Cron job|
|Date Deposited:||04 Feb 2015 22:35|
|Last Modified:||12 Feb 2015 01:17|