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>...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-展开更多
文摘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-