TY - EJOU
AU - Guseinov, Gusein Sh.
TI - An Inverse Problem for Two Spectra of Complex Finite Jacobi Matrices
T2 - Computer Modeling in Engineering \& Sciences
PY - 2012
VL - 86
IS - 4
SN - 1526-1506
AB - This paper deals with the inverse spectral problem for two spectra of finite order complex Jacobi matrices (tri-diagonal symmetric matrices with complex entries). The problem is to reconstruct the matrix using two sets of eigenvalues, one for the original Jacobi matrix and one for the matrix obtained by replacing the first diagonal element of the Jacobi matrix by some another number. The uniqueness and existence results for solution of the inverse problem are established and an explicit algorithm of reconstruction of the matrix from the two spectra is given.
KW - Jacobi matrix
KW - difference equation
KW - eigenvalue
KW - normalizing numbers
KW - inverse spectral problem
DO - 10.3970/cmes.2012.086.301