斜对称双对角矩阵特征值反问题

An Inverse Eigenvalue Problem for Symmetric Anti-bidiagonal Matrix

讨论了关于斜对称双对角矩阵的特征值反问题,即:已知一个n阶斜对称双对角矩阵的特征值和两个n 1阶子矩阵的部分特征值,则可求得该矩阵.最后给出了数值例子.

In this paper, an inverse eigenvalue problem for symmetric anti-bidiagonal matrix is discussed. It shows that an n degree symmetric anti-bidiagonal matrix can be determined if an eigenvalue of the symmetric anti-bidiagonal matrix and the eigenvalues of two n 1 degree submatrices are known. Numerical examples are also provided.