dc.contributor.author | Rabe, H. | |
dc.contributor.author | Ran, A.C.M. | |
dc.date.accessioned | 2016-03-01T07:58:04Z | |
dc.date.available | 2016-03-01T07:58:04Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Rabe, H. & Ran, A.C.M. 2014. A peculiar permutation phenomenon arising from the singular vector entries of a special class of Toeplitz matrices. Linear algebra and its applications, 459:368-383. [http://www.journals.elsevier.com/linear-algebra-and-its-applications/] | en_US |
dc.identifier.issn | 0024-3795 | |
dc.identifier.uri | http://hdl.handle.net/10394/16490 | |
dc.description.abstract | A special Toeplitz matrix of the form View the MathML sourceTn(fn)=T0,n+fn(T0,n−1)⁎, where T0,nT0,n is the n×nn×n Toeplitz matrix with ones on the diagonal and negative ones on the first upper diagonal, and fnfn some sequence of positive numbers is considered. We explain the presence of a peculiar permutation phenomenon occurring in its singular vector entries. This is achieved by finding explicit formulas for its singular values and the entries of its singular vectors. In addition, these explicit formulas lead to determining View the MathML sourceTn−1(fn), ‖Tn(fn=1/n)‖‖Tn(fn=1/n)‖ and View the MathML source‖Tn−1(fn=1/n)‖ for any n | en_US |
dc.description.sponsorship | National Research Foundation (NRF, South Africa) through the Vrije Universiteit Amsterdam-NRF Desmond Tutu Doctoral Scholarship Programme | en_US |
dc.description.uri | http://www.journals.elsevier.com/linear-algebra-and-its-applications/ | |
dc.description.uri | http://dx.doi.org/10.1016/j.laa.2014.07.021 | |
dc.language.iso | en | en_US |
dc.publisher | Elsevier | en_US |
dc.subject | Toeplitz matrices | en_US |
dc.subject | singular value decomposition | en_US |
dc.subject | singular values | en_US |
dc.subject | singular vectors | en_US |
dc.subject | eigenvalues | en_US |
dc.subject | eigenvectors | en_US |
dc.title | A peculiar permutation phenomenon arising from the singular vector entries of a special class of Toeplitz matrices | en_US |
dc.type | Article | en_US |
dc.contributor.researchID | 20000212 - Ran, Andreas Cornelis Maria | |