Two-sided Grassmann–Rayleigh quotient iteration-Reference-Cited by-同舟云学术

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Two-sided Grassmann–Rayleigh quotient iteration

Published:2009-10-10 Issue:4 Volume:114 Page:549-571
ISSN:0029-599X
Container-title:Numerische Mathematik
language:en
Short-container-title:Numer. Math.

Author:

Absil P.-A.,Van Dooren P.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00211-009-0266-y.pdf

Reference41 articles.

1. Abraham, R., Marsden, J.E., Ratiu, T.: Manifolds, Tensor Analysis, and Applications. Applied Mathematical Sciences, vol. 75, 2nd edn. Springer, New York (1988)

2. Absil P.-A., Mahony R., Sepulchre R.: Riemannian geometry of Grassmann manifolds with a view on algorithmic computation. Acta Appl. Math. 80(2), 199–220 (2004)

3. Absil P.-A., Mahony R., Sepulchre R.: Optimization Algorithms on Matrix Manifolds. Princeton University Press, Princeton (2008)

4. Absil P.-A., Mahony R., Sepulchre R., Van Dooren P.: A Grassmann–Rayleigh quotient iteration for computing invariant subspaces. SIAM Rev. 44(1), 57–73 (2002)

5. Absil P.-A., Sepulchre R., Van Dooren P., Mahony R.: Cubically convergent iterations for invariant subspace computation. SIAM J. Matrix Anal. Appl. 26(1), 70–96 (2004)

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