%0 Journal Article %@ 0167-7152 %A Dümbgen, Lutz %D 1995 %F heidok:21959 %J Statistics & Probability Letters %K Eigenvalue Inequality, Partitioned Matrix %P 113-115 %R 10.11588/heidok.00021959 %T A Simple Proof and Refinement of Wielandt's Eigenvalue Inequality %U https://archiv.ub.uni-heidelberg.de/volltextserver/21959/ %V 25 %X Wielandt (1967) proved an eigenvalue inequality for partitioned symmetric matrices, which turned out to be very useful in statistical applications. A simple proof yielding sharp bounds is given.