Název:
Does a Singular Symmetric Interval Matrix Contain a Symmetric Singular Matrix?
Autoři:
Rohn, Jiří Typ dokumentu: Výzkumné zprávy
Rok:
2019
Jazyk:
eng
Edice: Technical Report, svazek: V-1268
Abstrakt: We consider the conjecture formulated in the title concerning existence of a symmetric singular matrix in a singular symmetric interval matrix. We show by means of a counterexample that it is generally not valid, and we prove that it becomes true under an additional assumption of positive semide niteness of the midpoint matrix. The proof is constructive.
Klíčová slova:
positive semide niteness; singularity; symmetric interval matrix
Práva: Dílo je chráněno podle autorského zákona č. 121/2000 Sb.