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Citation - WoS: 1
Citation - Scopus: 1
On a Quadratic Eigenvalue Problem and Its Applications
(Springer Basel Ag, 2013) Atalan, Ferihe; Guseinov, Gusein Sh
We investigate the eigenvalues and eigenvectors of a special quadratic matrix polynomial and use the results obtained to solve the initial value problem for the corresponding linear system of differential equations.
Citation - WoS: 1
Citation - Scopus: 1
On Determination of a Finite Jacobi Matrix From Two Spectra
(Tech Science Press, 2012) Guseinov, Gusein Sh; Mathematics
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.