Zhihua Xiong, Yixin Xu, et al.
International Journal of Modelling, Identification and Control
This paper presents novel perturbation bounds for generalized symmetric positive definite eigenvalue problems. The bounds provide the insights for an observed computational phenomenon that is not easily explained by the existing bounds developed previously. Using the new bounds, we provide an analysis of a subspace Newton type procedure for computing a few extreme eigenpairs for generalized symmetric positive definite systems. A preconditioned version of this subspace iterative method is also studied. © 1999 Elsevier Science Inc. All rights reserved.
Zhihua Xiong, Yixin Xu, et al.
International Journal of Modelling, Identification and Control
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Photomask and Next-Generation Lithography Mask Technology 2004
J. LaRue, C. Ting
Proceedings of SPIE 1989
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Journal of Global Optimization