Organization Types with respect to project management
The development aid organization

The PMBOK (Project Management Book of Knowledge) by the Project Management Institute. where organization are classified as:
functional - A hierarchical organization where each employee has one clear superior, staff are grouped by areas of specialization, and managed by a person with expertise in that area.
projectized - an organizational structure in which the project manager has full authority to assign priorities, apply resources, and direct the work of persons assigned to the project.
matrix: Any organizational structure in which the project manager shares responsibility with the functional managers for assigning priorities and for directing the work of persons assigned to the project.
Organizational Structure Influences on Projects

Projectized Organization

Weak Matrix Organization

Balanced Matrix Organization

Strong Matrix Organization