caa a22 4500 60616734X CHVBK 20210128100702.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s10665-014-9775-5 doi (NATIONALLICENCE)springer-10.1007/s10665-014-9775-5 The matrix pencil nearness problem in structural dynamic model updating [Elektronische Daten] [Quan Yuan, Hua Dai] This paper considers the problem of finding the least change adjustment to a given matrix pencil. The desired matrix properties, including satisfaction of the characteristic equation, symmetry, positive semidefiniteness, and sparsity, are imposed as side constraints to form the optimal matrix pencil approximation problem. This problem is related to the frequently encountered engineering problem of a structural modification to the dynamic behavior of a structure. Conditions ensuring the feasible region of the matrix pencil nearness problem are analyzed using a matrix decomposition technique. An unconstrained minimization formulation is presented in terms of the Lagrangian multiplier method and solved by a subgradient algorithm. Numerical results are included to illustrate the performance and application of the proposed method. Springer Science+Business Media Dordrecht, 2015 Dual problem nationallicence Matrix pencil nearness problem nationallicence Model updating nationallicence Subgradient algorithm nationallicence Yuan Quan Department of Mathematics, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, China aut Dai Hua Department of Mathematics, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, China aut Journal of Engineering Mathematics Springer Netherlands 93/1(2015-08-01), 131-143 0022-0833 93:1<131 2015 93 10665 https://doi.org/10.1007/s10665-014-9775-5 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/s10665-014-9775-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Yuan Quan Department of Mathematics, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, China aut NATIONALLICENCE 700 1- Dai Hua Department of Mathematics, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, China aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Springer Netherlands 93/1(2015-08-01), 131-143 0022-0833 93:1<131 2015 93 10665