Comparative study on techniques of model order reduction using rational Krylov subspace method. Issue 7 (3rd October 2022)

• Record Type: Journal Article
• Authors: Saiduzzaman, Md; Islam, Md Shafiqul; Uddin, Mohammad Monir; Gani, Mohammad Osman
• Is Part Of: Journal of interdisciplinary mathematics. Volume 25:Issue 7(2022)
• Page Start: 1971
• Page End: 1978
• Publication Date: 2022-10-03
• Subjects: Primary 93B05 -- Secondary 93B07; Model order reduction -- Lyapunov equation -- BT -- PDEG -- RKSM; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.1080/09720502.2022.2133224
• Languages: English
• ISSNs: 0972-0502

Abstract

Abstract: We present Model Reduction (MR) techniques of the 1st order system and 2nd order dynamical systems using the Balanced Truncation (BT) method [1, 2] and Projection onto the dominant Eigenspace of the Gramian (PDEG) method [3]. We get help from the well-known Rational Krylov Subspace Method (RKSM) [4] for BT and PDEG. We also mention the Lyapunov equations [1] with their solutions known as the system gramians. Finally, a comparison is shown between BT and PDEG methods using numerical experiments.