Multiple-rank Modification of Symmetric Eigenvalue Problem

HyungSeon Oh; Zhe Hu

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arXiv · 1706.00773

Multiple-rank Modification of Symmetric Eigenvalue Problem

HyungSeon Oh·Zhe Hu

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Abstract

Rank-1 modifications in k-times (k > 1) often are performed to achieve rank-k modification. We propose a rank- k modification for enhancing computational efficiency. As the first step towards a rank- k modification, an algorithm to perform rank-2 modification is proposed and tested. The computation cost of our proposed algorithm is in O(n^1.5). We also propose a general rank- k update algorithm based upon the modified Sturm Theorem, and compare our results from those of the direct eigenvalue decomposition and of a perturbation method.

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HyungSeon Oh, Zhe Hu. 2017-06-02. Multiple-rank Modification of Symmetric Eigenvalue Problem. https://arxiv.org/abs/1706.00773

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