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Least squares, Error analysis (Mathematics)Showing 2 featured editions. View all 2 editions?
Edition | Availability |
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1
Total Least Squares and Errors-in-Variables Modeling: Analysis, Algorithms and Applications
February 1, 2002, Springer
Hardcover
in English
- 1 edition
1402004761 9781402004766
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2
Total least squares and errors-in-variables modeling: analysis, algorithms and applications
2002, Kluwer Academic
in English
1402004761 9781402004766
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Book Details
Table of Contents
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 inear 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.
Edition Notes
Includes bibliographical references and index.
Includes papers from 3rd international workshop on TLS and EIV modeling, Leuven, Aug. 27-29, 2001.
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