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EXISTENCE OF ALGEBRAIC MATRIX RICCATI-EQUATIONS ARISING IN TRANSPORT-THEORY

dc.citation.epage100en_US
dc.citation.issueen_US
dc.citation.spage89en_US
dc.citation.volume230en_US
dc.citation.woscount52
dc.contributor.authorJUANG, Jen_US
dc.contributor.department交大名義發表zh_TW
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentNational Chiao Tung Universityen_US
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.date.accessioned2014-12-08T15:03:04Z
dc.date.available2014-12-08T15:03:04Z
dc.date.issued1995-11-15en_US
dc.description.abstractWe consider the existence of positive solutions of a certain class of algebraic matrix Riccati equations with two parameters, c (0 less than or equal to c less than or equal to 1) and alpha (0 less than or equal to alpha less than or equal to 1). Here c denotes the fraction of scattering per collision, and cu is an angular shift. Equations of this class are induced via invariant imbedding and the shifted Gauss-Legendre quadrature formula from a simple transport model. By establishing the existence of positive solutions of such equations, the problem of the convergence of some iterative schemes for solving them can be completely solved.en_US
dc.identifier.doi10.1016/0024-3795(93)00366-8en_US
dc.identifier.issn0024-3795en_US
dc.identifier.journalLINEAR ALGEBRA AND ITS APPLICATIONSen_US
dc.identifier.urihttp://dx.doi.org/10.1016/0024-3795(93)00366-8en_US
dc.identifier.urihttps://ir.lib.nycu.edu.tw/handle/11536/1651
dc.identifier.wosnumberWOS:A1995TC94500006
dc.language.isoen_USen_US
dc.titleEXISTENCE OF ALGEBRAIC MATRIX RICCATI-EQUATIONS ARISING IN TRANSPORT-THEORYen_US
dc.typeArticleen_US

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