The Inverse Problem of Rank -1 Modification of Real Symmetric Matrices
Yin Qing-xiang · Journal of Nantong Institute of Technology · 2003
This paper deals with the following inverse eigenvalue problem: Given a real symmetric matrix A, find a vector u and a real number p, so that matrix A + puu T has prescribed eigenvalues The existence and uniqueness of the solution are discussed and the algorithm and some numerical examples given.