@TECHREPORT\{IMM2001-0839, author = "R. D. Fierro and P. C. Hansen", title = "Truncated {VSV} solutions to symmetric rank-deficient problems", year = "2001", number = "", series = "IMM-TR-2001-11", institution = "Informatics and Mathematical Modelling, Technical University of Denmark, {DTU}", address = "Richard Petersens Plads, Building 321, {DK-}2800 Kgs. Lyngby", type = "", url = "http://www2.compute.dtu.dk/pubdb/pubs/839-full.html", abstract = "Symmetric {VSV} decompositions are new rank-revealing decompositions that exploit and preserve symmetry. Truncated {VSV} solutions are stabilized solutions computed by neglecting blocks in the {VSV} decomposition with small norm. We compare the truncated {VSV} solutions with truncated {SVD} solutions and give perturbation bounds for the {VSV} solutions. Numerical examples illustrate our results." }