Before revision:  For extracting eigencomponents from random vectors or matrices , a complex moment forms a filter that allows desired eigencomponents to pass through. The challenge is to extend the definition of a complex matrix moment to the non-square case .
After revision:  For extracting eigencomponents from random vectors or matrices . This study extends a projection method for regular matrix pencils to the singular nonsquare case. Extending the definition of a complex matrix moment to the non-square case .