摘要
1 The principal conclusionTh1:For every anti-symmetric tridiagonal n×n matrix A with the off-diagonal ele-ments±β<sub>i</sub>（i=1,2,…n-1）,there is an orthogonal matrix L such thatLA<sup>T</sup>AL<sup>T</sup>=（?）（C and D is all symmetric tridiagonal matrix）.And the elements c<sub>ij</sub>,d<sub>ij</sub>and l<sub>ij</sub>of matrix C,D and L are determined by the followng meth-
