Model Reduction by Rational Interpolation
| dc.contributor.author | Gugercin, Serkan | en |
| dc.contributor.author | Beattie, Christopher A. | en |
| dc.contributor.department | Mathematics | en |
| dc.date.accessioned | 2017-01-26T21:49:02Z | en |
| dc.date.available | 2017-01-26T21:49:02Z | en |
| dc.date.issued | 2016-07-01 | en |
| dc.description.abstract | The last two decades have seen major developments in interpolatory methods for model reduction of large-scale linear dynamical systems. Advances of note include the ability to produce (locally) optimal reduced models at modest cost; refined methods for deriving interpolatory reduced models directly from input/output measurements; and extensions for the reduction of parametrized systems. This chapter offers a survey of interpolatory model reduction methods starting from basic principles and ranging up through recent developments that include weighted model reduction and structure-preserving methods based on generalized coprime representations. Our discussion is supported by an assortment of numerical examples. | en |
| dc.description.version | Accepted version | en |
| dc.identifier.uri | http://hdl.handle.net/10919/74434 | en |
| dc.publisher | Siam | en |
| dc.relation.ispartof | Model Reduction and Approximation: Theory and Algorithms | en |
| dc.rights | In Copyright | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject | math.NA | en |
| dc.subject | cs.NA | en |
| dc.subject | cs.SY | en |
| dc.title | Model Reduction by Rational Interpolation | en |
| dc.type | Book chapter | en |
| pubs.organisational-group | /Virginia Tech | en |
| pubs.organisational-group | /Virginia Tech/All T&R Faculty | en |
| pubs.organisational-group | /Virginia Tech/Science | en |
| pubs.organisational-group | /Virginia Tech/Science/COS T&R Faculty | en |
| pubs.organisational-group | /Virginia Tech/Science/Mathematics | en |