A new numerically reliable algorithm is proposed for the pole assignment of single input linear time invariant sy stems The proposed algorithm is based on an implicit multishift QR like technique using exclusively orthogo nal transformations to compute a feedback matrix which assigns the desired poles The new algorithm allows for a dynamic adjustment of the number of shifts This feature is part...

A new algorithm is proposed for the pole assignment of single-input linear time-invariant systems. The proposed algorithm belongs to the family of Hessenberg methods and is based on an implicit multishift QR-like technique. The new method compares favorably in many respects (speed, memory usage) with existing numerically stable methods. Its improved vectorizability guarantees good opportunities...