The total least squares (TLS) method is one of the several linear parameter estimation techniques that have been devised to compensate for data errors. One of the main reasons for its popularity is the availability of efficient and numerical robust algorithms in which the singular value ...
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....
Total Least Squares (TLS) is a method of fitting that is appropriate when there are errors in both the observation vector b (m × 1) and in the data matrix... GH Golub,CF Van Loan - Cornell University 被引量: 2613发表: 1980年 The Total Least Squares Problem: Computational Aspects and...
A contribution to the condition number of the total least squares problem, arXiv:1101.2342 [math.NA - Jia, Li - 2011Z. Jia and B. Li, A contribution to the condition number of the total least squares problem, arXiv:1101.2342 [math.NA], (2011)....
0Ananalysis of the total least squares problem
The Least-Squares Problem 来自 Springer 喜欢 0 阅读量: 29 作者: A Deif 摘要: The set of linear simultaneous equations Ax = b, A ∈ ℝ m×n , has either a unique solution for x , more than one solution for x or no solution at all. For x to be unique, A is necessarily non...
Given a linear system Ax approximate to b over the real or complex field, where both A and b are subject to noise, the total least squares (TLS) problem seeks to find a correction matrix and a correction right-hand side vector of minimal norm which makes the linear system feasible. To ...
elementwise-weighted total least squaresadjusted least squaresessential/fundamental matrixWe consider three multivariate regression models related to the TLS ... A Kukush,I Markovsky,SV Huffel - Springer Netherlands 被引量: 2发表: 0年 Maximum Likelihood Analysis of the Total Least Squares Problem wit...
scaled total least squares problemequality constrained least squares problemleast squares problem over a spherelinearization estimatebackward errorWe study the linearization method to estimate the backward error of approximate solutions to several least squares problems, including the scaled total least squares...
The main goal of this paper is to put well-established techniques for two-view motion analysis in the context of the theory of Total Least Squares and to make clear that robust and reliable motion analysis algorithms cannot be designed without a thorough