Db. Kandic et al., EXPLICIT CONSTRUCTION OF HYPERDOMINANT SYMMETRICAL MATRICES WITH ASSIGNED SPECTRUM, Linear algebra and its applications, 258, 1997, pp. 41-51
We prove by explicit construction the existence of at least one nontri
vial symmetric hyperdominant matrix with assigned nonnegative spectrum
. In addition, we construct symmetric matrices with assigned spectra a
nd several specific nonhyperdominant types of sign patterns. (C) 1997
Elsevier Science Inc., 1997.