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THE NESTED TOTAL LEAST SQUARES PROBLEM:FORMULATION,SOLUTIONS AND PERTURBATION ANALYSIS

THE NESTED TOTAL LEAST SQUARES PROBLEM:FORMULATION,SOLUTIONS AND PERTURBATION ANALYSIS
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摘要 In this paper, we propose the nested totoal least squatres problem (NTLS), which is an extension of the equality constrained least squares problem (LSE). The formulation of the NTLS problem is given and the solution set of the NTLS problem is obtained. The least squares residuals and the minimal norm correction matrices of the NTLS solution are provided and a perturbation analysis of the NTLS solutions is given. In this paper, we propose the nested totoal least squatres problem (NTLS), which is an extension of the equality constrained least squares problem (LSE). The formulation of the NTLS problem is given and the solution set of the NTLS problem is obtained. The least squares residuals and the minimal norm correction matrices of the NTLS solution are provided and a perturbation analysis of the NTLS solutions is given.
基金 This author was supported by the National Natural Sciences Foundation, P. R. China.
关键词 Nested totalleast SQUARES SINGULAR VALUE PERTURBATION Nested,totalleast squares,singular value,perturbation
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