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dc.contributor.authorGau, HLen_US
dc.contributor.authorWu, PYen_US
dc.date.accessioned2014-12-08T15:38:30Z-
dc.date.available2014-12-08T15:38:30Z-
dc.date.issued2004-10-01en_US
dc.identifier.issn0024-3795en_US
dc.identifier.urihttp://dx.doi.org/10.1016/j.laa.2004.04.013en_US
dc.identifier.urihttp://hdl.handle.net/11536/26357-
dc.description.abstractAs in the predecessor [Numerical range of a normal compression, Linear and Multilinear Algebra, in press] of this paper, we consider properties of matrices of the form V*NV, where N = diag(a(1),..., a(n+1)) is a diagonal matrix with distinct eigenvalues a(j)s such that each of them is a corner of the convex hull they generate, and V is an (n + 1)-by-n matrix with V*V = I-n such that any nonzero vector orthogonal to the range space of V has all its components nonzero. We obtain that such a matrix A is determined by its eigenvalues up to unitary equivalence, is irreducible and cyclic, and the boundary of its numerical range is a differentiable curve which contains no line segment. We also consider the condition for the existence of another matrix of the above type which dilates to A such that their numerical ranges share some common points with the boundary of the (n + 1)-gon a(1) (...) a(n+1). (C) 2004 Elsevier Inc. All rights reserved.en_US
dc.language.isoen_USen_US
dc.subjectnumerical rangeen_US
dc.subjectnormal compressionen_US
dc.subjectirreducible matrixen_US
dc.subjectcyclic matrixen_US
dc.titleNumerical range of a normal compression IIen_US
dc.typeArticleen_US
dc.identifier.doi10.1016/j.laa.2004.04.013en_US
dc.identifier.journalLINEAR ALGEBRA AND ITS APPLICATIONSen_US
dc.citation.volume390en_US
dc.citation.issueen_US
dc.citation.spage121en_US
dc.citation.epage136en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:000223949700009-
dc.citation.woscount4-
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