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• W2003648488 abstract "One common procedure in solving a normalized damped linear system with non-zero off-diagonal damping elements is to replace the normalized damping matrix by a selected diagonal matrix. The extent of approximation introduced by this method of decoupling the system is evaluated, and tight upper bounds on the norm of errors are derived. Moreover, when the normalized damping matrix is diagonally dominant, it is shown that decoupling the system by neglecting the off-diagonal elements indeed minimizes the error upper bound. The results expounded in this paper are applicable to any damped linear dynamical system the coefficient matrices of which are symmetric and positive definite." @default.
• W2003648488 created "2016-06-24" @default.
• W2003648488 creator A5010207569 @default.
• W2003648488 date "1990-01-01" @default.
• W2003648488 modified "2023-09-23" @default.
• W2003648488 title "Approximate decoupling of the equations of motion of damped linear systems" @default.
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• W2003648488 doi "https://doi.org/10.1016/0022-460x(90)90937-u" @default.
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