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    The Perturbation Bound for the Spectral Radius of a Nonnegative Tensor
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    Abstract:
    We study the perturbation bound for the spectral radius of an m th-order n -dimensional nonnegative tensor A. The main contribution of this paper is to show that when A is perturbed to a nonnegative tensor A~ by ΔA, the absolute difference between the spectral radii of A and A~ is bounded by the largest magnitude of the ratio of the i th component of ΔAxm-1 and the i th component xm-1, where x is an eigenvector associated with the largest eigenvalue of A in magnitude and its entries are positive. We further derive the bound in terms of the entries of A only when x is not known in advance. Based on the perturbation analysis, we make use of the NQZ algorithm to estimate the spectral radius of a nonnegative tensor in general. On the other hand, we study the backward error matrix ΔA and obtain its smallest error bound for its perturbed largest eigenvalue and associated eigenvector of an irreducible nonnegative tensor. Based on the backward error analysis, we can estimate the stability of computation of the largest eigenvalue of an irreducible nonnegative tensor by the NQZ algorithm. Numerical examples are presented to illustrate the theoretical results of our perturbation analysis.
    The algorithm GDBSCAN only needs two parameters.It can discover clusters of any shape.But it is very sensitive to the parameter Eps.This paper puts forward a kind of method to make sure the Eps,which is based on datagrid.The method can achieve better result on the case of data distributing unevenly and shapes of clusters reaching each other.
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    The thesis introduce a solution of using DataGrid coned and ComboBox control to realize DataBase of querying
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    article Free Access Share on Remarks on Algorithm 332: Jacobi polynomials: Algorithm 344: student's t-distribution: Algorithm 351: modified Romberg quadrature: Algorithm 359: factoral analysis of variance Author: Arthur H. J. Sale Univ. of Sydney, Sydney, Australia Univ. of Sydney, Sydney, AustraliaView Profile Authors Info & Claims Communications of the ACMVolume 13Issue 7July 1970 https://doi.org/10.1145/362686.362700Published:01 July 1970Publication History 0citation275DownloadsMetricsTotal Citations0Total Downloads275Last 12 Months10Last 6 weeks3 Get Citation AlertsNew Citation Alert added!This alert has been successfully added and will be sent to:You will be notified whenever a record that you have chosen has been cited.To manage your alert preferences, click on the button below.Manage my Alerts New Citation Alert!Please log in to your account Save to BinderSave to BinderCreate a New BinderNameCancelCreateExport CitationPublisher SiteeReaderPDF
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    This paper analyzed the DataGrid Web Server Control. DataGrid is one of the most popular control of ASP .NET which is used to render data to a Web page in tabular form. This paper provides two types of typical usage of DataGrid.
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    The nationally-recognized Susquehanna Chorale will delight audiences of all ages with a diverse mix of classic and contemporary pieces. The ChoraleAƒÂƒA‚ƒAƒÂ‚A‚ƒAƒÂƒA‚‚AƒÂ‚A‚ƒAƒÂƒA‚ƒAƒÂ‚A‚‚AƒÂƒA‚‚AƒÂ‚A‚ƒAƒÂƒA‚ƒAƒÂ‚A‚ƒAƒÂƒA‚‚AƒÂ‚A‚‚AƒÂƒA‚ƒAƒÂ‚A‚‚AƒÂƒA‚‚AƒÂ‚A‚¢AƒÂƒA‚ƒAƒÂ‚A‚ƒAƒÂƒA‚‚AƒÂ‚A‚ƒAƒÂƒA‚ƒAƒÂ‚A‚‚AƒÂƒA‚‚AƒÂ‚A‚‚AƒÂƒA‚ƒAƒÂ‚A‚ƒAƒÂƒA‚‚AƒÂ‚A‚‚AƒÂƒA‚ƒAƒÂ‚A‚‚AƒÂƒA‚‚AƒÂ‚A‚€AƒÂƒA‚ƒAƒÂ‚A‚ƒAƒÂƒA‚‚AƒÂ‚A‚ƒAƒÂƒA‚ƒAƒÂ‚A‚‚AƒÂƒA‚‚AƒÂ‚A‚‚AƒÂƒA‚ƒAƒÂ‚A‚ƒAƒÂƒA‚‚AƒÂ‚A‚‚AƒÂƒA‚ƒAƒÂ‚A‚‚AƒÂƒA‚‚AƒÂ‚A‚™s performances have been described as AƒÂƒA‚ƒAƒÂ‚A‚ƒAƒÂƒA‚‚AƒÂ‚A‚ƒAƒÂƒA‚ƒAƒÂ‚A‚‚AƒÂƒA‚‚AƒÂ‚A‚ƒAƒÂƒA‚ƒAƒÂ‚A‚ƒAƒÂƒA‚‚AƒÂ‚A‚‚AƒÂƒA‚ƒAƒÂ‚A‚‚AƒÂƒA‚‚AƒÂ‚A‚¢AƒÂƒA‚ƒAƒÂ‚A‚ƒAƒÂƒA‚‚AƒÂ‚A‚ƒAƒÂƒA‚ƒAƒÂ‚A‚‚AƒÂƒA‚‚AƒÂ‚A‚‚AƒÂƒA‚ƒAƒÂ‚A‚ƒAƒÂƒA‚‚AƒÂ‚A‚‚AƒÂƒA‚ƒAƒÂ‚A‚‚AƒÂƒA‚‚AƒÂ‚A‚€AƒÂƒA‚ƒAƒÂ‚A‚ƒAƒÂƒA‚‚AƒÂ‚A‚ƒAƒÂƒA‚ƒAƒÂ‚A‚‚AƒÂƒA‚‚AƒÂ‚A‚‚AƒÂƒA‚ƒAƒÂ‚A‚ƒAƒÂƒA‚‚AƒÂ‚A‚‚AƒÂƒA‚ƒAƒÂ‚A‚‚AƒÂƒA‚‚AƒÂ‚A‚œemotionally unfiltered, honest music making, successful in their aim to make the audience feel, to be moved, to be part of the performance - and all this while working at an extremely high musical level.AƒÂƒA‚ƒAƒÂ‚A‚ƒAƒÂƒA‚‚AƒÂ‚A‚ƒAƒÂƒA‚ƒAƒÂ‚A‚‚AƒÂƒA‚‚AƒÂ‚A‚ƒAƒÂƒA‚ƒAƒÂ‚A‚ƒAƒÂƒA‚‚AƒÂ‚A‚‚AƒÂƒA‚ƒAƒÂ‚A‚‚AƒÂƒA‚‚AƒÂ‚A‚¢AƒÂƒA‚ƒAƒÂ‚A‚ƒAƒÂƒA‚‚AƒÂ‚A‚ƒAƒÂƒA‚ƒAƒÂ‚A‚‚AƒÂƒA‚‚AƒÂ‚A‚‚AƒÂƒA‚ƒAƒÂ‚A‚ƒAƒÂƒA‚‚AƒÂ‚A‚‚AƒÂƒA‚ƒAƒÂ‚A‚‚AƒÂƒA‚‚AƒÂ‚A‚€AƒÂƒA‚ƒAƒÂ‚A‚ƒAƒÂƒA‚‚AƒÂ‚A‚ƒAƒÂƒA‚ƒAƒÂ‚A‚‚AƒÂƒA‚‚AƒÂ‚A‚‚AƒÂƒA‚ƒAƒÂ‚A‚ƒAƒÂƒA‚‚AƒÂ‚A‚‚AƒÂƒA‚ƒAƒÂ‚A‚‚AƒÂƒA‚‚AƒÂ‚A‚ Experience choral singing that will take you to new heights!
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