Structured matrices and tensors occur in many disciplines in applied mathematics and engineering. Fast algorithms for structured matrices and tensors are of particular importance in data analysis, and signal and image processing. This conference has two major objectives. One, we want to improve the dialogue and collaboration between matrix and tensor 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.