The Inverse Problem of Vector Pairs for Bisymmetric Irreducible Tridiagonal Matrix

In this paper,the problem of constructing the bisymm etric irreducible tridiagonal matrix with given three vector pairs of indimensions is discussed.In the process of solving the problem,the equivalent relation between the problem and linear systems is considered,by using the solvability conditions for linear systems,some necessary and sufficient conditions under which there exists solution and unique solution for the discussed problem are obtained.