منابع مشابه
CMV matrices: Five years after
CMV matrices are the unitary analog of Jacobi matrices; we review their general theory. © 2006 Elsevier B.V. All rights reserved. MSC: 05E35; 47A68; 15A52
متن کاملA quasiseparable approach to five–diagonal CMV and companion matrices
Recent work in the characterization of structured matrices in terms of characteristic polynomials of principal submatrices is furthered in this paper. Some classical classes of matrices with quasiseparable structure include tridiagonal (related to real orthogonal polynomials) and banded matrices, unitary Hessenberg matrices (related to Szegö polynomials), and semiseparable matrices, as well as ...
متن کاملEditorial: After Five Years
Increasingly journals are using a variety of measures to benchmark the quality of their publications. Upon reflection one can source numerous statistics from reliable sources to find key indicators that showcase both the breadth and depth of relevance of a journal within a global academic and industry community of practice. We thought it especially important to present some key indicators in th...
متن کاملGenesis , Five Years After
Introduction: Almost five years after the crash-landing of the sample return capsule of the Genesis solar wind collection mission, many of the originally defined high-priority goals [1] have been reached or prospects are very good that they will be reached within the next few years. None of the major goals had to be abandoned as a consequence of the crash. This contribution reviews some of the ...
متن کاملDarboux transformations for CMV matrices
We develop a theory of Darboux transformations for CMV matrices, canonical representations of the unitary operators. In perfect analogy with their self-adjoint version – the Darboux transformations of Jacobi matrices – they are equivalent to Laurent polynomial modifications of the underlying measures. We address other questions which emphasize the similarities between Darboux transformations fo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2007
ISSN: 0377-0427
DOI: 10.1016/j.cam.2006.10.033