Numerical linear algebra techniques for large scale matrix problems in systems and control

The author discusses a number of numerical linear algebra techniques for large scale problems in systems and control. Attention is focused on special matrix-problems, i.e. matrices which are either sparse, patterned or structured. The topics considered all point to the significant role linear algebra problems play in the control, optimization and model reduction of multivariable linear systems. The individual topics discussed all pertain to the common problem of designing low-order robust controllers for large scale plants, and the techniques are closely related.>