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Conference Paper: Effects of a parameter on a nonsymmetric algebraic Riccati equation

TitleEffects of a parameter on a nonsymmetric algebraic Riccati equation
Authors
Lu, LinzhangNg, Michael K.
KeywordsM-matrices
Minimal positive solution
Nonsymmetric algebraic Riccati equation
Issue Date2006
Citation
Applied Mathematics and Computation, 2006, v. 172, n. 2 SPEC. ISS., p. 753-761 How to Cite?
DOI: http://dx.doi.org/10.1016/j.amc.2004.11.029
AbstractIn this paper, we are interested in a nonsymmetric algebraic Riccati equation arising in transport theory. The effects of a parameter α on the minimal positive solution X*(α) of this equation are studied. We show that X*(α) decreases in α only when α is close to one and X*(α) cannot attain its maximum for α ∈ [0, 1). A matrix lower bound and a matrix upper bound for X*(α) are also given.
Persistent Identifierhttp://hdl.handle.net/10722/276787
ISSN
0096-3003
2023 Impact Factor: 3.5
2023 SCImago Journal Rankings: 1.026
ISI Accession Number ID
WOS:000235557400009

 

DC FieldValueLanguage
dc.contributor.authorLu, Linzhang-
dc.contributor.authorNg, Michael K.-
dc.date.accessioned2019-09-18T08:34:39Z-
dc.date.available2019-09-18T08:34:39Z-
dc.date.issued2006-
dc.identifier.citationApplied Mathematics and Computation, 2006, v. 172, n. 2 SPEC. ISS., p. 753-761-
dc.identifier.issn0096-3003-
dc.identifier.urihttp://hdl.handle.net/10722/276787-
dc.description.abstractIn this paper, we are interested in a nonsymmetric algebraic Riccati equation arising in transport theory. The effects of a parameter α on the minimal positive solution X*(α) of this equation are studied. We show that X*(α) decreases in α only when α is close to one and X*(α) cannot attain its maximum for α ∈ [0, 1). A matrix lower bound and a matrix upper bound for X*(α) are also given.-
dc.languageeng-
dc.relation.ispartofApplied Mathematics and Computation-
dc.subjectM-matrices-
dc.subjectMinimal positive solution-
dc.subjectNonsymmetric algebraic Riccati equation-
dc.titleEffects of a parameter on a nonsymmetric algebraic Riccati equation-
dc.typeConference_Paper-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.amc.2004.11.029-
dc.identifier.scopuseid_2-s2.0-31644439042-
dc.identifier.volume172-
dc.identifier.issue2 SPEC. ISS.-
dc.identifier.spage753-
dc.identifier.epage761-
dc.identifier.isiWOS:000235557400009-
dc.identifier.issnl0096-3003-

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