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In the previous chapter algorithms for computing the eigenvalues of symplectic matrices have been considered that are based on an elimination process for computing the butterfly form of symplectic matrix. Unfortunately, this approach is not suitable when dealing with large and sparse symplectic matrices as an elimination process can not make full use of the sparsity.
Lüda Lüda is a double city composed of Lüshun and Dalian, located at the tip of the Liaodong Peninsula in Liaoning Province.
At Hsiaochien and Lishan, too, the Japanese suffered defeats; at Chunghsiang they were attacked. Their attack on Yingcheng, northern part of the province, ended in a retreat, and they announced that they would evacuate Macheng, east of Yingcheng.
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