Wielandt-Hoffman theorem

Let A and B be normal matricesMathworldPlanetmath (http://planetmath.org/NormalMatrix). Let their eigenvaluesMathworldPlanetmathPlanetmathPlanetmathPlanetmath ai and bi be ordered such that i|ai-bi|2 is minimized. Then we have the following inequality


where F is the Frobenius matrix norm.

Title Wielandt-Hoffman theorem
Canonical name WielandtHoffmanTheorem
Date of creation 2013-03-22 14:58:45
Last modified on 2013-03-22 14:58:45
Owner Andrea Ambrosio (7332)
Last modified by Andrea Ambrosio (7332)
Numerical id 4
Author Andrea Ambrosio (7332)
Entry type Theorem
Classification msc 15A42
Classification msc 15A18
Related topic ShursInequality