TY - JOUR
T1 - An inverse eigenvalue problem for symmetrical tridiagonal matrices
AU - Pickmann, Hubert
AU - Soto, Ricardo L.
AU - Egaña, J.
AU - Salas, Mario
PY - 2007/9
Y1 - 2007/9
N2 - We consider the following inverse eigenvalue problem: to construct a symmetrical tridiagonal matrix from the minimal and maximal eigenvalues of all its leading principal submatrices. We give a necessary and sufficient condition for the existence of such a matrix and for the existence of a nonnegative symmetrical tridiagonal matrix. Our results are constructive, in the sense that they generate an algorithmic procedure to construct the matrix.
AB - We consider the following inverse eigenvalue problem: to construct a symmetrical tridiagonal matrix from the minimal and maximal eigenvalues of all its leading principal submatrices. We give a necessary and sufficient condition for the existence of such a matrix and for the existence of a nonnegative symmetrical tridiagonal matrix. Our results are constructive, in the sense that they generate an algorithmic procedure to construct the matrix.
KW - Matrix inverse eigenvalue problem
KW - Symmetrical tridiagonal matrices
UR - https://www.scopus.com/pages/publications/34447327243
U2 - 10.1016/j.camwa.2006.12.035
DO - 10.1016/j.camwa.2006.12.035
M3 - Article
AN - SCOPUS:34447327243
SN - 0898-1221
VL - 54
SP - 699
EP - 708
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
IS - 5
ER -