caa a22 4500 606167293 CHVBK 20210128100702.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s10665-014-9751-0 doi (NATIONALLICENCE)springer-10.1007/s10665-014-9751-0 Alternating projection method for sparse model updating problems [Elektronische Daten] [Bo Dong, Yan Yu, Dan Tian] Sparse model updating problems, considered in this paper, focus on updating the constructed second-order finite element model under the sparsity constraint, that is, the updated model should have the desired eigenvalues and eigenvectors, and preserve the symmetry, positive semi-definiteness, and sparsity of the original model. In the process of performing model updating, sparsity of the model, which implies the inner connectivity and other physical properties of the updated system, plays a critically important role in the model updating problems. However, very few results in the earlier literature have paid attention to this important constraint due to the difficulty associated with it. In this paper, an alternating projection method, which is versatile enough to solve a huge class of sparse model updating problems, is presented. A distinct practical feature of this method is that it is easy to design and develop because, in the process of applying this method, one only needs to alternatively find the optimal solutions of some matrix approximation problems arising naturally from the requirement of practical application. And our numerical results demonstrate that alternating projection is an effective tool for sparse model updating problems. Springer Science+Business Media Dordrecht, 2015 Alternating projection methods nationallicence Connectivity nationallicence Model updating problems nationallicence Sparsity nationallicence Dong Bo School of Mathematical Sciences, Dalian University of Technology, 116024, Dalian, Liaoning, China aut Yu Yan School of Mathematical Sciences, Dalian University of Technology, 116024, Dalian, Liaoning, China aut Tian Dan School of Mathematical Sciences, Dalian University of Technology, 116024, Dalian, Liaoning, China aut Journal of Engineering Mathematics Springer Netherlands 93/1(2015-08-01), 159-173 0022-0833 93:1<159 2015 93 10665 https://doi.org/10.1007/s10665-014-9751-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10665-014-9751-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dong Bo School of Mathematical Sciences, Dalian University of Technology, 116024, Dalian, Liaoning, China aut NATIONALLICENCE 700 1- Yu Yan School of Mathematical Sciences, Dalian University of Technology, 116024, Dalian, Liaoning, China aut NATIONALLICENCE 700 1- Tian Dan School of Mathematical Sciences, Dalian University of Technology, 116024, Dalian, Liaoning, China aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Springer Netherlands 93/1(2015-08-01), 159-173 0022-0833 93:1<159 2015 93 10665