TY - JOUR
T1 - Extreme Spectra Realization by Nonsymmetric Tridiagonal and Nonsymmetric Arrow Matrices
AU - Pickmann-Soto, H.
AU - Arela-Pérez, S.
AU - Egaña, Juan C.
AU - Soto, Ricardo L.
N1 - Publisher Copyright:
© 2019 H. Pickmann-Soto et al.
PY - 2019
Y1 - 2019
N2 - We consider the following inverse extreme eigenvalue problem: given the real numbers {1j,jj}j=1n and the real vector x(n)=x1,x2,.,xn, to construct a nonsymmetric tridiagonal matrix and a nonsymmetric arrow matrix such that {1j,jj}j=1n are the minimal and the maximal eigenvalues of each one of their leading principal submatrices, and x(n),n(n) is an eigenpair of the matrix. We give sufficient conditions for the existence of such matrices. Moreover our results generate an algorithmic procedure to compute a unique solution matrix.
AB - We consider the following inverse extreme eigenvalue problem: given the real numbers {1j,jj}j=1n and the real vector x(n)=x1,x2,.,xn, to construct a nonsymmetric tridiagonal matrix and a nonsymmetric arrow matrix such that {1j,jj}j=1n are the minimal and the maximal eigenvalues of each one of their leading principal submatrices, and x(n),n(n) is an eigenpair of the matrix. We give sufficient conditions for the existence of such matrices. Moreover our results generate an algorithmic procedure to compute a unique solution matrix.
UR - https://www.scopus.com/pages/publications/85063455590
U2 - 10.1155/2019/3459017
DO - 10.1155/2019/3459017
M3 - Article
AN - SCOPUS:85063455590
SN - 1024-123X
VL - 2019
JO - Mathematical Problems in Engineering
JF - Mathematical Problems in Engineering
M1 - 3459017
ER -