Sabine Van Huffel,
Joos Vandewalle
The Total Least Squares Problem
Computational Aspects and Analysis
Paperback Engels 1987 9780898712759Levertijd ongeveer 9 werkdagen
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Samenvatting
This is the first book devoted entirely to total least squares. The authors give a unified presentation of the TLS problem. A description of its basic principles are given, the various algebraic, statistical and sensitivity properties of the problem are discussed, and generalizations are presented. Applications are surveyed to facilitate uses in an even wider range of applications. Whenever possible, comparison is made with the well-known least squares methods. A basic knowledge of numerical linear algebra, matrix computations, and some notion of elementary statistics is required of the reader; however, some background material is included to make the book reasonably self-contained.
Specificaties
ISBN13:9780898712759
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:314
Uitgever:Society for Industrial and Applied Mathematics
Serie:Frontiers in Applied
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Inhoudsopgave
Introduction; Basic principles of the total least squares problem; Extensions of the basic total least squares problem; Direct speed Improvement of the total least squares computations; Iterative speed Improvement for solving slowly varying total least squares problems; Algebraic Connections Between total least squares and least squares problems; Sensitivity analysis of total least squares and least squares problems in the presence of errors in all data; Statistical properties of the total least squares problem; Algebraic connections between total least squares estimation and classical linear regression in Multicollinearity problems; Conclusions.
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