@article {IOPORT.01921318,
    author       = {Wang, Zhengsheng},
    title        = {Inverse eigenvalue problem for real symmetric five-diagonal matrix.},
    year         = {2002},
    journal      = {Numerical Mathematics},
    volume       = {24},
    number       = {4},
    issn         = {1000-081X},
    pages        = {366-376},
    publisher    = {Nanjing University, Department of Mathematics, Nanjing},
    abstract     = {This paper deals with the following inverse eigenvalue problem: Given $\alpha,\beta,\gamma\in \bbfR$ and nonzero vectors $x,y,z\in\bbfR^n$. Find an $n\times n$ real symmetric five-diagonal matrix $A$ such that $$Ax=\alpha x,\quad Ay=\beta y,\quad Az=\gamma z.$$ The solvability is investigated. A numerical algorithm is presented. The besic idea is: Constructing a Jacobi matrix $J$ first, then obtained the desired matrix $A= J^2- pI_n$.},
    reviewer     = {Liu Xinguo (Qingdao)},
    identifier   = {01921318},
}