Symmetric low‐rank corrections to quadratic models |
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Authors: | Jiang Qian Shu‐Fang Xu Feng‐Shan Bai |
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Institution: | 1. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China;2. LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China |
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Abstract: | In this paper, we study the quadratic model updating problems by using symmetric low‐rank correcting, which incorporates the measured model data into the analytical quadratic model to produce an adjusted model that matches the experimental model data, and minimizes the distance between the analytical and updated models. We give a necessary and sufficient condition on the existence of solutions to the symmetric low‐rank correcting problems under some mild conditions, and propose two algorithms for finding approximate solutions to the corresponding optimization problems. The good performance of the two algorithms is illustrated by numerical examples. Copyright © 2008 John Wiley & Sons, Ltd. |
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Keywords: | quadratic model symmetric low‐rank correcting numerical method |
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