Absolute Value Mapping

0504531 - ÚI 2020 CZ eng V - Výzkumná zpráva
Rohn, Jiří
Absolute Value Mapping.
Prague: ICS CAS, 2019. 5 s. Technical Report, V-1266.
Institucionální podpora: RVO:67985807
Klíčová slova: absolute value mapping * bijectivity * interval matrix * regularity * absolute value equation * unique solvability
Obor OECD: Pure mathematics

We prove a necessary and sufficient condition for an absolute value mapping to be bijective. This result simultaneously gives a characterization of unique solvability of an absolute value equation for each right-hand side.
Trvalý link: http://hdl.handle.net/11104/0296140