Total Least Squares and Errors-in-Variables Modeling

1. Nonlinear Errors-In-Variables Models and Statistical Estimators

   1. Cox’s Proportional Hazards Model under Covariate Measurement Error

      • Thomas Augustin, Regina Schwarz

      Pages 179-188

2. Errors-In-Variables Modeling with Bounded Uncertainties

   1. Front Matter

      Pages 189-189

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   2. State-Space Estimation with Uncertain Models

      • Ali H. Sayed, Ananth Subramanian

      Pages 191-202

   3. Models for Robust Estimation and Identification

      • Shivkumar Chandrasekaran, Keith Schubert

      Pages 203-212

   4. Robust Solutions to Linear Approximation Problems under Ellipsoidal Uncertainty

      • G. Alistair Watson

      Pages 213-222

3. Curve Fitting

   1. Front Matter

      Pages 223-223

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   2. QR Factorization of the Jacobian in Some Structured Nonlinear Least Squares Problems

      • Åke Björck

      Pages 225-234

   3. Neural Minor Component Analysis and TLS

      • Giansalvo Cirrincione, Maurizio Cirrincione

      Pages 235-250

   4. On the Structural Line Segment Model

      • Ori Davidov, Alexander Goldenshluger, Roman Reidman

      Pages 251-260

   5. Model Fitting for Multiple Variables by Minimising the Geometric Mean Deviation

      • Chris Tofallis

      Pages 261-267

4. Errors-In-Variables Estimation in System Identification

   1. Front Matter

      Pages 269-269

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   2. Perspectives on Errors-In-Variables Estimation for Dynamic Systems

      • Torsten Söderström, Umberto Soverini, Kaushik Mahata

      Pages 271-280

   3. Errors-In-Variables Filtering in Behavioural and State-Space Contexts

      • Roberto Guidorzi, Roberto Diversi, Umberto Soverini

      Pages 281-291

   4. Weighted Total Least Squares, Rank Deficiency and Linear Matrix Structures

      • Bart De Moor

      Pages 293-304

   5. Frequency-Domain TLS and GTLS Algorithms for Modal Analysis Applications

      • Peter Verboven, Patrick Guillaume, Eli Parloo

      Pages 305-318

5. Errors-In-Variables Estimation in Signal Processing

   1. Front Matter

      Pages 319-319

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   2. A New Decimative Spectral Estimation Method with Unconstrained Model Order and Decimation Factor

      • Stavroula-Evita Fotinea, Ioannis Dologlou, George Carayannis

      Pages 321-330

   3. Modeling Audio with Damped Sinusoids Using Total Least Squares Algorithms

      • Werner Verhelst, K. Hermus, P. Lemmerling, P. Wambacq, S. Van Huffel

      Pages 331-340

   4. Real-Time TLS Algorithms in Gaussian and Impulse Noise Environments

      • Da-Zheng Feng, Zheng Bao, Xian-Da Zhang

      Pages 341-350

6. Errors-In-Variables Applications in Other Fields

   1. Front Matter

      Pages 351-351

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In response to a growing interest in Total Least Squares (TLS) and Errors-In-Variables (EIV) modeling by researchers and practitioners, well-known experts from several disciplines were invited to prepare an overview paper and present it at the third international workshop on TLS and EIV modeling held in Leuven, Belgium, August 27-29, 2001. These invited papers, representing two-thirds of the book, together with a selection of other presented contributions yield a complete overview of the main scientific achievements since 1996 in TLS and Errors-In-Variables modeling. In this way, the book nicely completes two earlier books on TLS (SIAM 1991 and 1997). Not only computational issues, but also statistical, numerical, algebraic properties are described, as well as many new generalizations and applications. Being aware of the growing interest in these techniques, it is a strong belief that this book will aid and stimulate users to apply the new techniques and models correctly to their own practical problems.

• Analysis
• Curve fitting
• Estimator
• Fitting
• Matrix
• Measure
• algebra
• algorithms
• best fit
• modeling
• matrix theory

• Department of Electrical Engineering, Katholieke Universiteit, Leuven-Heverlee, Belgium

  Sabine Huffel, Philippe Lemmerling

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