Barlow, Jesse L.Erbay, Hasan2020-06-252020-06-252009closedAccess1070-53251099-1506https://doi.org/10.1002/nla.651https://hdl.handle.net/20.500.12587/4371Erbay, Hasan/0000-0002-7555-541XA truncated ULV decomposition (TULVD) of an m x n matrix X of rank k is a decomposition of the form X=ULVT + E, where U and V are left orthogonal matrices, L is a k x k non-singular lower triangular matrix and E is an error matrix. Only U,V, L and parallel to E parallel to(F) are stored, but E is not stored. We propose algorithms for updating and downdating the TULVD. To construct these modification algorithms, we also use a refinement algorithm based upon that in (SIAM J. Matrix Anal. Appl. 2005; 27(1):198-211) that reduces parallel to E parallel to(F), detects rank degeneracy, corrects it, and sharpens the approximation. Copyright (C) 2009 John Wiley & Sons, Ltd.eninfo:eu-repo/semantics/closedAccessorthogonal decompositionrank estimationsubspace estimationArticle161083386010.1002/nla.6512-s2.0-70349601759Q1WOS:000270771900004Q1