Jane Cullum, Albert Ruehli, et al.
IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing
We introduce new two-sided Arnoldi recursions and use them to define a model reduction procedure for large, linear, time-invariant, multi-input/multi-output differential algebraic systems. We prove that this procedure has desirable moment matching properties. We define a corresponding model reduction procedure which is based on a band nonsymmetric Lanczos recursion and prove that if the deflation is exact and there are no breakdowns in the recursions, then these two model reduction procedures generate identical reduced-order systems. We prove similar equivalences for corresponding eigenelement procedures. We concentrate on the theoretical properties of the new algorithms.
Jane Cullum, Albert Ruehli, et al.
IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing
Tong Zhang
Neural Computation
Shie Mannor, Ron Meir, et al.
COLT 2002
Jane Cullum
BIT