Structured matrices occur in many disciplines in applied mathematics and engineering. Fast algorithms for structured matrices are of particular importance in signal and image processing. This conference has two major objectives. One, we want to improve the dialogue and collaboration between matrix theoreticians and the computational scientists. Two, we want to reduce the gap between the researchers working on the fundamentals and those working on real-life applications, so that emerging applications will stimulate new theoretical research and the better theoretical tools will in turn be exported back to the various application fields.