Model Order Reduction: Theory, Research Aspects and Applications

Front Matter....Pages I-XI
Introduction to Model Order Reduction....Pages 3-32
Linear Systems, Eigenvalues, and Projection....Pages 33-45
Structure-Preserving Model Order Reduction of RCL Circuit Equations....Pages 49-73
A Unified Krylov Projection Framework for Structure-Preserving Model Reduction....Pages 75-93
Model Reduction via Proper Orthogonal Decomposition....Pages 95-109
PMTBR: A Family of Approximate Principal-components-like Reduction Algorithms....Pages 111-132
A Survey on Model Reduction of Coupled Systems....Pages 133-155
Space Mapping and Defect Correction....Pages 157-176
Modal Approximation and Computation of Dominant Poles....Pages 177-193
Some Preconditioning Techniques for Saddle Point Problems....Pages 195-211
Time Variant Balancing and Nonlinear Balanced Realizations....Pages 213-250
Singular Value Analysis and Balanced Realizations for Nonlinear Systems....Pages 251-272
Matrix Functions....Pages 275-303
Model Reduction of Interconnected Systems....Pages 305-321
Quadratic Inverse Eigenvalue Problem and Its Applications to Model Updating — An Overview....Pages 323-340
Data-Driven Model Order Reduction Using Orthonormal Vector Fitting....Pages 341-359
Model-Order Reduction of High-Speed Interconnects Using Integrated Congruence Transform....Pages 361-401
Model Order Reduction for MEMS: Methodology and Computational Environment for Electro-Thermal Models....Pages 403-419
Model Order Reduction of Large RC Circuits....Pages 421-446
Reduced Order Models of On-Chip Passive Components and Interconnects, Workbench and Test Structures....Pages 447-467
Back Matter....Pages 469-471