Seminar Physique Mathématique -- Mirror-symmetric Jacobi matrices and their applications

11/17/2015 - 15:30
11/17/2015 - 16:30
Alexei Zhedanov (Donetsk Institut for Physics & Technology)
UdeM, Pavillon André-Aisenstadt, 2920, ch. de la Tour, salle 4336

Mirror-symmetric Jacobi matrices are 3-diagonal matrices remaining invariant with respect to reflections over main diagonal and main antidiagonal. Such matrices are important in applications connected with perfect state transfer in quantum information. We demonstrate some new properties of these matrices as well as of corresponding orthogonal polynomials. We propose also a new efficient algorithm to solve inverse spectral problem for these matrices.

Last edited by on Thu, 11/12/2015 - 16:57