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- Publisher Website: 10.1016/j.amc.2004.11.029
- Scopus: eid_2-s2.0-31644439042
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Conference Paper: Effects of a parameter on a nonsymmetric algebraic Riccati equation
Title | Effects of a parameter on a nonsymmetric algebraic Riccati equation |
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Authors | |
Keywords | M-matrices Minimal positive solution Nonsymmetric algebraic Riccati equation |
Issue Date | 2006 |
Citation | Applied Mathematics and Computation, 2006, v. 172, n. 2 SPEC. ISS., p. 753-761 How to Cite? |
Abstract | In 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 Identifier | http://hdl.handle.net/10722/276787 |
ISSN | 2023 Impact Factor: 3.5 2023 SCImago Journal Rankings: 1.026 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Lu, Linzhang | - |
dc.contributor.author | Ng, Michael K. | - |
dc.date.accessioned | 2019-09-18T08:34:39Z | - |
dc.date.available | 2019-09-18T08:34:39Z | - |
dc.date.issued | 2006 | - |
dc.identifier.citation | Applied Mathematics and Computation, 2006, v. 172, n. 2 SPEC. ISS., p. 753-761 | - |
dc.identifier.issn | 0096-3003 | - |
dc.identifier.uri | http://hdl.handle.net/10722/276787 | - |
dc.description.abstract | In 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.language | eng | - |
dc.relation.ispartof | Applied Mathematics and Computation | - |
dc.subject | M-matrices | - |
dc.subject | Minimal positive solution | - |
dc.subject | Nonsymmetric algebraic Riccati equation | - |
dc.title | Effects of a parameter on a nonsymmetric algebraic Riccati equation | - |
dc.type | Conference_Paper | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.amc.2004.11.029 | - |
dc.identifier.scopus | eid_2-s2.0-31644439042 | - |
dc.identifier.volume | 172 | - |
dc.identifier.issue | 2 SPEC. ISS. | - |
dc.identifier.spage | 753 | - |
dc.identifier.epage | 761 | - |
dc.identifier.isi | WOS:000235557400009 | - |
dc.identifier.issnl | 0096-3003 | - |