Total least squares and errors-in-variables modeling : analysis, algorithms and applications - Huffel, Sabine van; Lemmerling, Philippe (Dordrecht ; Boston ; London : Kluwer Academic, 2002)
Machine generated contents note: Part I Basic Concepts and Analysis in EIV Modeling -- TLS and its Improvements by Semiparametric Approach 15 -- Shun-ichi Amari and Motoaki Kawanabe -- Unifying Least Squares, Total Least Squares and Data Least Squares 25 -- Christopher C. Paige and Zdendk Strakog -- Bounds for the Least Squares Residual Using Scaled TLS 35 -- Christopher C. Paige and Zdenek Strakos --Part II Total Least Squares Algorithms -- Recent Developments in Rank Revealing and Lanczos Methods for Total Least Squares Related Problems 47 -- Ricardo D. Fierro and Per Christian Hansen -- A Regularized Total Least Squares Algorithm 57 -- Hongbin Guo and Rosemary A. Renaut -- The Parametric Quadratic Form Method for solving TLS Problems with Elementwise Weighting 67 -- Amedeo Premoli and Maria Luisa Rastello --Part III Structured Total Least Squares Problems -- Structured Total Least Squares: Analysis, Algorithms and Applications 79 -- Philippe Lemmerling and Sabine Van Huffel -- Fast Structured Total Least Squares Algorithms via Exploitation of the Displacement Structure 93 -- Nicola Mastronardi, Philippe Lemmerling and Sabine Van Huffel -- The Extended STLS Algorithm for Minimizing the Extended LS Criterion 107 -- Arie Yeredor -- Part IV Nonlinear EIV Models and Statistical Estimators -- Bayesian Smoothing for Measurement Error Problems 121 -- Scott M. Berry, Raymond J. Carroll and David Ruppert -- On the Polynomial Measurement Error Model 131 -- Chi-Lun Cheng and Hans Schneeweiss -- On Consistent Estimators in Nonlinear Functional EIV Models 145 -- Alexander Kukush and Silvelyn Zwanzig -- On Consistent Estimators in Linear and Bilinear Multivariate -- Errors-in-Variables Models 155 -- Alexander Kukush, Ivan Markovsky and Sabine Van Huffel -- Identification of Semi-Linear Models Within an Errors-in-Variables Framework 165 -- Rik Pintelon and Johan Schoukens -- Cox's Proportional Hazards Model under Covariate Measurement Error 179 -- Thomas Augustin and Regina Schwarz --Part V EIV Modeling with Bounded Uncertainties -- State-Space Estimation with Uncertain Models 191 -- Ali H. Sayed and Ananth Subramanian -- Models for Robust Estimation and Identification 203 -- Shivkumar Chandrasekaran and Keith Schubert -- Robust Solutions to Linear Approximation Problems Under Ellipsoidal Uncertainty 213 -- G. Alistair Watson --Part VI Curve Fitting -- QR Factorization of the Jacobian in Some Structured Nonlinear Least Squares Problems 225 -- Ake Bjorck -- Neural Minor Component Analysis and TLS 235 -- Giansalvo Cirrincione and Maurizio Cirrincione -- On the Structural Line Segment Model 251 -- Ori Davidov, Alexander Goldenshluger and Roman Reidman -- Model Fitting for Multiple Variables by Minimising the Geometric Mean Deviation 261 -- Chris Tofallis -- Part VII EIV Estimation in System Identification -- Perspectives on Errors-in-Variables Estimation for Dynamic Systems 271 -- Torsten Soderstrom, Umberto Soverini and Kaushik Mahata -- Errors-in-Variables Filtering in Behavioural and State-Space Contexts 281 -- Roberto Guidorzi, Roberto Diversi and Umberto Soverini -- Weighted Total Least Squares, Rank Deficiency and Linear Matrix Structures 293 -- Bart De Moor -- Frequency-Domain TLS and GTLS Algorithms for Modal Analysis Applications 305 -- Peter Verboven, Patrick Guillaume and Eli Parloo --Part VIII EIV Estimation in Signal Processing: A New Decimative Spectral Estimation Method with Unconstrained Model Order and Decimation Factor 321 -- Stavroula-Evita Fotinea, loannis Dologlou and George Carayannis -- Modeling Audio with Damped Sinusoids Using Total Least Squares Algorithms 331 -- Werner Verhelst, K. Hermus P. Lemmerling, P. Wambacq and S. Van Huffel -- Real-Time TLS Algorithms in Gaussian -- and Impulse Noise Environments 341 -- Da-Zheng Feng, Zheng Bao and Xian-Da Zhang --Part IX EIV Applications in Other Fields -- Efficient Computation of the Riemannian SVD in Total Least Squares Problems in Information Retrieval 353 -- Ricardo D. Fierro and Michael W. Berry -- Constrained Total Least Squares for Color Image Reconstruction 365 -- Michael K. Ng, Nirmal K. Bose and Jaehoon Koo -- Total Least Squares in Astronomy 375 -- Richard L. Branham, Jr. -- TLS and Constrained TLS Neural Networks for Computer Vision 385 -- Giansalvo Cirrincione.
Includes papers from 3rd international workshop on TLS and EIV modeling, Leuven, Aug. 27-29, 2001.
Includes bibliographical references and index.
Keywords: Least squares; Error analysis (Mathematics)