Solving Eigenvalue problem as an optimization problem on Manifold

Author:

Katyan Siddhant1,Das Shrutimoy1

Affiliation:

1. International Institute of Information Technology, Hyderabad, Hyderabad, Telangana, India

Publisher

ACM

Reference10 articles.

1. P.-A. Absil C.G. Baker and K.A. Gallivan. 2007. Trust-Region Methods on Riemannian Manifolds. Foundations of Computational Mathematics 7 3 (01 Jul 2007) 303--330. P.-A. Absil C.G. Baker and K.A. Gallivan. 2007. Trust-Region Methods on Riemannian Manifolds. Foundations of Computational Mathematics 7 3 (01 Jul 2007) 303--330.

2. P. A. Absil C. G. Baker K. A. Gallivan and A. Sameh. 2005. Adaptive Model Trust Region Methods for Generalized Eigenvalue Problems. In Computational Science -- ICCS 2005 Vaidy S. Sunderam Geert Dick van Albada Peter M. A. Sloot and Jack J. Dongarra (Eds.). Springer Berlin Heidelberg Berlin Heidelberg 33--41. P. A. Absil C. G. Baker K. A. Gallivan and A. Sameh. 2005. Adaptive Model Trust Region Methods for Generalized Eigenvalue Problems. In Computational Science -- ICCS 2005 Vaidy S. Sunderam Geert Dick van Albada Peter M. A. Sloot and Jack J. Dongarra (Eds.). Springer Berlin Heidelberg Berlin Heidelberg 33--41.

3. P.-A. Absil R. Mahony and R. Sepulchre. 2008. Optimization Algorithms on Matrix Manifolds. Princeton University Press Princeton NJ. P.-A. Absil R. Mahony and R. Sepulchre. 2008. Optimization Algorithms on Matrix Manifolds. Princeton University Press Princeton NJ.

4. C. G. Baker P. A. Absil and K. A. Gallivan. 2006. An Implicit Riemannian Trust-Region Method for the Symmetric Generalized Eigenproblem. In Computational Science -- ICCS 2006 Vassil N. Alexandrov Geert Dick van Albada Peter M. A. Sloot and Jack Dongarra (Eds.). Springer Berlin Heidelberg Berlin Heidelberg 210--217. C. G. Baker P. A. Absil and K. A. Gallivan. 2006. An Implicit Riemannian Trust-Region Method for the Symmetric Generalized Eigenproblem. In Computational Science -- ICCS 2006 Vassil N. Alexandrov Geert Dick van Albada Peter M. A. Sloot and Jack Dongarra (Eds.). Springer Berlin Heidelberg Berlin Heidelberg 210--217.

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