| dc.contributor.author | Mehrmann, Volker | |
| dc.contributor.author | Xu, Hongguo | |
| dc.date.accessioned | 2015-04-08T21:03:06Z | |
| dc.date.available | 2015-04-08T21:03:06Z | |
| dc.date.issued | 2008-10-16 | |
| dc.identifier.citation | Mehrmann, Volker & Xu, Hongguo. "Explicit Solutions for a Riccati Equation from Transport Theory." (2008) SIAM. J. Matrix Anal. & Appl., 30(4), 1339–1357. (19 pages). http://dx.doi.org/10.1137/070708743. | en_US |
| dc.identifier.uri | http://hdl.handle.net/1808/17353 | |
| dc.description | This is the published version, also available here: http://dx.doi.org/10.1137/070708743. | en_US |
| dc.description.abstract | We derive formulas for the minimal positive solution of a particular nonsymmetric Riccati equation arising in transport theory. The formulas are based on the eigenvalues of an associated matrix. We use the formulas to explore some new properties of the minimal positive solution and to derive fast and highly accurate numerical methods. Some numerical tests demonstrate the properties of the new methods. | en_US |
| dc.publisher | Society for Industrial and Applied Mathematics | en_US |
| dc.subject | nonsymmetric Riccati equation | en_US |
| dc.subject | secular equation | en_US |
| dc.subject | eigenvalues | en_US |
| dc.subject | minimal positive solution | en_US |
| dc.subject | Cauchy matrix | en_US |
| dc.subject | transport theory | en_US |
| dc.subject | quadrature formula | en_US |
| dc.title | Explicit Solutions for a Riccati Equation from Transport Theory | en_US |
| dc.type | Article | |
| kusw.kuauthor | Xu, Hongguo | |
| kusw.kudepartment | Mathematics | en_US |
| dc.identifier.doi | 10.1137/070708743 | |
| kusw.oaversion | Scholarly/refereed, publisher version | |
| kusw.oapolicy | This item meets KU Open Access policy criteria. | |
| dc.rights.accessrights | openAccess | |
