In this paper, we first give the representation of the general solution of the following least-squares problem (LSP): Given a full column rank matrix X โ R nรp , a diagonal matrix โ R pรp and matrices andM([1, r]) are, respectively, the r ร r leading principal submatrices of K and M. We then conside
An iterative updating method for undamped structural systems
โ Scribed by Yongxin Yuan; Hao Liu
- Publisher
- Springer Netherlands
- Year
- 2011
- Tongue
- English
- Weight
- 368 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0025-6455
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๐ SIMILAR VOLUMES
## Abstract In this paper, the following two are considered: __Problem IQEP__ Given __M__~__a__~โSR^__n__ร__n__^, ฮ=diag{ฮป~1~, โฆ, ฮป~__p__~}โC^__p__ร__p__^, __X__=[__x__~1~, โฆ, __x__~__p__~]โC^__n__ร__p__^, and both ฮ and __X__ are closed under complex conjugation in the sense that \documentclass{
## An iterative procedure for reducing the order of transfer functions of discrete control systems is presented. The transfer functions of the reduced-order systems are the best in the least-squared error sense formulated in the frequency domain. Numerical examples are given to compare the perform
Dynamic condensation techniques have been broadly applied to the domains of testanalysis-model correlation, vibration control, damage detection and so on to reduce the structural matrices (sti!ness, mass and/or damping matrices) of "nite element models. Based on the subspace iteration method in the