Before revision:  This study extends a projection method for regular matrix pencils to the singular nonsquare case . Extending the definition of a complex moment matrix to the nonsquare case has posed a challenge. This extension replaces the standard matrix inverse in the resolvent with the pseudoinverse.
After revision:  This study extends a projection method for regular matrix pencils to the singular nonsquare case , thus replacing the standard matrix inverse in the resolvent with the pseudoinverse.