Consistency of the structured total least squares estimator in a multivariate errors-in-variables model

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Errors-in-variables methods in system identification (2018, methodology): “The statistical properties of the solution to a structured TLS problem is considered in several papers, for example Kukush et al. (2005).”
On non-combinatorial weighted total least squares with inequality constraints (2014, background): “2013) including its variance components estimation (AmiriSimkooei 2013; Mahboub 2014; Xu and Liu 2014), as well as the multivariate EIV model (see e.g., Gleser 1981; Kukush and van Huffel 2004; Kukush et al. 2005; Schaffrin and Felus 2008; Schaffrin and Wieser 2009; Fang 2011, 2014b; Li et al. 2012,”
Overview of total least-squares methods (2007, background): “In order to preserve the maximum likelihood properties of the solution, the total least-squares problem formulation is extended [43] with the additional constraint that the structure of the data matrix 1⁄2A B is preserved in the correction matrix 1⁄2DA DB .”