The Matrix Organization is the most elaborate and sophisticated way to achieve lateral Integration in organisation
It is designed to improve understanding and integration of effort of different units by making people jointly responsible. Importantly it's not just the structural assignment that is key on its own. It has to be joint by a culture that fosters and energises correspondingly collaborative behaviours. As described by Katzenbach and Michaels.
Child, J. (2015). Organization: contemporary principles and practice. John Wiley & Sons.