Quadratic Model Updating with Symmetry, Positive Definiteness, and No Spill-Over
نویسندگان
چکیده
Updating a system modeled as a real symmetric quadratic eigenvalue problem to match observed spectral information has been an important task for practitioners in different disciplines. It is often desirable in the process to match only the newly measured data without tampering with the other unmeasured and often unknown eigenstructure inherent in the original model. Such an updating, known as no spill-over, has been critical yet challenging in practice. Only recently, a mathematical theory on updating with no spill-over has begun to be understood. However, other imperative issues such as maintaining positive definiteness in the coefficient matrices remain to be addressed. This paper highlights several theoretical aspects about updating that preserves both no spill-over and positive definiteness of the mass and the stiffness matrices. In particular, some necessary and sufficient conditions for the solvability conditions are established in this investigation.
منابع مشابه
Real Symmetric Quadratic Model Updating That Preserves Positive Definiteness and No Spill-over
Updating a model framed as a real symmetric quadratic eigenvalue problem to match observed spectral information has been a powerful tool for practitioners in different discipline areas. It is often desirable in updating to match only the part of newly measured data without tampering with the other part of unmeasured and often unknown eigenstructure inhering in the original model. Such an updati...
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ورودعنوان ژورنال:
- SIAM J. Matrix Analysis Applications
دوره 31 شماره
صفحات -
تاریخ انتشار 2009