1. The centrosymmetric structural dynamical models updating were studied in the paper.

2. The molecule is centrosymmetric.

3. Then the direct centrosymmetric solutions were obtained by applying the iterative method in finite steps an arbitrary initializing centrosymmetric matrix.

4. Complex 5,8 and 9 belong to non - centrosymmetric trigonal space group P 3 _ 121.

5. This work shows that for a kind of centrosymmetric systems with parametric excitation, their chaotic state has centrosymmetric property. Our result illustrates that chaos with symmetry may exist.

6. In this paper, an iterative method is presented to find the least squares centrosymmetric solution to a kind of matrix equations.

7. The modulational instability of one-dimensional broad optical beams in biased two-photon centrosymmetric photorefractive crystals under steady-state conditions has been investigated.

8. Incoherently coupled dark-dark , bright-bright and bright-dark screening soliton pairs in centrosymmetric photorefractive crystals are possible due photorefractive effect.

9. The property and the differential characteristic of maximum likelihood direction-of-arrival estimation (MLE)function for every variety of centrosymmetric array are investigated in the paper.