Nicolaie POPESCU-BODORIN
Affiliations  |  Publication  |  Conference articles  |  Research (2008-2009, 2007-2008, 2006-2007, 2004-2006, 2003, 2002) 		  English   
 
  Nicolaie POPESCU-BODORIN : Pade via Multi-Step Rational Block Lanczos Algorithm   (2002-2003)

Nicolaie POPESCU-BODORIN: Pade via Multi-Step Rational Block Lanczos Algorithm

Reduced Order Modelling (ROM) / Krylov Projection Based Order Reduction Methods

Pade via Multi-Step Rational Block Lanczos Algorithm: Bode Diagram

Pade via Multi-Step Rational Block Lanczos Algorithm: Pasivity

Pade via Multi-Step Rational Block Lanczos Algorithm: Stability
Pade via Multi-Step Rational Block Lanczos Algorithm: Example

Reduced Order Modelling (ROM) :: Krylov Projection Based Order Reduction Methods
Pade via Multi-Step Rational Block Lanczos Algorithm: FOM Example

Original system: "fom.mat" file from NICONET
Multi-Step reduction example: 1006 --> 300 --> 66 --> 25 (decreasing state space dimension);
BODE Diagram:


Pade via Multi-Step Rational Block Lanczos Algorithm.
Error measured beetwen first (300-dimensional) and last (25-dimensional) approximation:
(In a complete metric space, any Cauchy sequence is convergent)


Absolute and Relative Error:


Absolute Error:


Step Response:


Impulse response:


Stability Margins:


Nichols Diagram:


Nyquist Diagram:


Detail in Nyquist Diagram:


Poles:


Poles:


Poles:


Singular Values: