Explicit Solutions for a Riccati Equation from Transport Theory

Mehrmann, Volker; Xu, Hongguo

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
kusw.oanotes	On author or institutional website or online repository. Non-commercial. Publisher copyright must be acknowledged. Publisher's version/PDF may be used.	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

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