Jane Cullum
Mathematics of Computation
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
Mathematics of Computation
Shie Mannor, Ron Meir, et al.
COLT 2002
Christoph Tillmann, Tong Zhang
ACM Transactions on Speech and Language Processing
Tong Zhang
NeurIPS 2000