TY  - EJOU
AU  - Guseinov, Gusein Sh. 

TI  - On Determination of a Finite Jacobi Matrix from Two Spectra
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2012
VL  - 84
IS  - 5
SN  - 1526-1506

AB  - In this work we study the inverse spectral problem for two spectra of finite order real Jacobi matrices (tri-diagonal matrices). 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 procedure of reconstruction of the matrix from the two spectra is given.
KW  - Jacobi matrix
KW  -  eigenvalue
KW  -  normalizing numbers
KW  -  inverse spectral problem

DO  - 10.3970/cmes.2012.084.405