Rump, Siegfried M.Siegfried M.Rump2021-05-032021-05-032002Electronic Journal of Linear Algebra 9: 112-117 (2002)http://hdl.handle.net/11420/9421The sign-real and the sign-complex spectral radius, also called the generalized spectral radius, proved to be an interesting generalization of the classical Perron-Frobenius theory (for nonnegative matrices) to general real and to general complex matrices, respectively. Especially the generalization of the well-known Collatz-Wielandt max-min characterization shows one of the many one-to-one correspondences to classical Perron-Frobenius theory. In this paper the corresponding inf-max characterization as well as variational characterizations of the generalized (real and complex) spectral radius are presented. Again those are almost identical to the corresponding results in classical Perron-Frobenius theory.en1081-38102002112117ILAS, The International Linear Algebra SocietyGeneralized spectral radiusPerron-Frobenius theorySign-complex spectral radiusSign-real spectral radiusMathematikJournal Article10.13001/1081-3810.1077Other