Title :
Inverse Eigenvalue Problem for Generalized Periodic Jacobi Matrices with Linear Relation
Author :
Zhibin Li ; Xinxin Zhao
Author_Institution :
Coll. of Math. & Phys., Dalian Jiaotong Univ., Dalian, China
Abstract :
This paper presents the following inverse eigenvalue problem for generalized periodic Jacobi matrices: Given two unequal real numbers and nonzero vectors. Find n steps real generalized Jacobi matrices J, which is satisfied the conditions that the numbers and the nonzero vectors are the characteristic pairs of J. The algorithm and the theorem of the solution of the problem are given, and some numerical examples are provided.
Keywords :
Jacobian matrices; eigenvalues and eigenfunctions; vectors; generalized periodic Jacobi matrices; inverse eigenvalue problem; linear relation; nonzero vectors; real numbers; Educational institutions; Eigenvalues and eigenfunctions; Information technology; Inverse problems; Jacobian matrices; Linear matrix inequalities; Mathematics; Physics; Vectors; Generalized Periodic Jacobi Matrices; characteristic value; inverse problem; linear relation;
Conference_Titel :
Intelligent Information Technology Application, 2009. IITA 2009. Third International Symposium on
Conference_Location :
Nanchang
Print_ISBN :
978-0-7695-3859-4
DOI :
10.1109/IITA.2009.8
