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- Yongxin Yuan, Hua Dai
- J. Computational Applied Mathematics
- 2009

—In this paper we develop an efficient numerical method for the finite-element model updating of damped gyroscopic systems based on incomplete complex modal measured data. It is assumed that the analytical mass and stiffness matrices are correct and only the damping and gyroscopic matrices need to be updated. By solving a constrained optimization problem,… (More)

- Hao Liu, Yongxin Yuan
- Computers & Mathematics with Applications
- 2009

- Yongxin Yuan, Hua Dai
- Computers & Mathematics with Applications
- 2008

Generalized reflexive solutions of the matrix equation AXB = D and an associated optimal approximation problem a b s t r a c t

- Yongxin Yuan
- Applied Mathematics and Computation
- 2009

- Yongxin Yuan, Hao Liu
- J. Computational Applied Mathematics
- 2014

- Yongxin Yuan
- 2012

- Yongxin Yuan
- Applied Mathematics and Computation
- 2010

- Yongxin Yuan
- J. Computational Applied Mathematics
- 2009

- Yongxin Yuan
- 2009

The inverse eigenvalue problem of constructing symmetric positive semidefinite matrixD written as D ≥ 0 and real-valued skew-symmetric matrix G i.e., G −G of order n for the quadratic pencilQ λ : λMa λ D G Ka, whereMa > 0,Ka ≥ 0 are given analytical mass and stiffness matrices, so that Q λ has a prescribed subset of eigenvalues and eigenvectors, is… (More)

—In this paper the gradient based iterative algorithm is presented to solve the linear matrix equation AXB + CX T D = E, where X is unknown matrix, A, B, C, D, E are the given constant matrices. It is proved that if the equation has a solution, then the unique minimum norm solution can be obtained by choosing a special kind of initial matrices. Two… (More)