Perturbation analysis and condition numbers of scaled total least squares problems
From MaRDI portal
Publication:1027795
DOI10.1007/s11075-009-9269-0zbMath1171.65031OpenAlexW2052261993MaRDI QIDQ1027795
Liangmin Zhou, Lijing Lin, Sanzheng Qiao, Yi-Min Wei
Publication date: 30 June 2009
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-009-9269-0
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Ill-posedness and regularization problems in numerical linear algebra (65F22)
Related Items
A contribution to perturbation analysis for total least squares problems, Small sample statistical condition estimation for the total least squares problem, A note on the condition number of the scaled total least squares problem, A new error in variables model for solving positive definite linear system using orthogonal matrix decompositions, On condition numbers of the total least squares problem with linear equality constraint, Perturbation analysis and condition numbers for the Tikhonov regularization of total least squares problem and their statistical estimation, Mixed and componentwise condition numbers for a linear function of the solution of the total least squares problem, Condition numbers of multidimensional mixed least squares-total least squares problems, A contribution to the conditioning of the mixed least-squares scaled total least-squares problem, On the condition number of the total least squares problem, Enclosing Moore-Penrose inverses, On the partial condition numbers for the indefinite least squares problem, TLS-EM algorithm of mixture density models for exponential families, Condition numbers of the multidimensional total least squares problems having more than one solution, Condition numbers of the mixed least squares-total least squares problem revisited, Condition Numbers of the Multidimensional Total Least Squares Problem, Regularized TLS-EM for estimating missing data, On mixed and componentwise condition numbers for indefinite least squares problem, Perturbation analysis for total least squares problems with linear equality constraint, Some results on condition numbers of the scaled total least squares problem, Convergence of Rump’s method for computing the Moore-Penrose inverse, Perturbation analysis and condition numbers of mixed least squares-scaled total least squares problem, Multidimensional Total Least Squares Problem with Linear Equality Constraints
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An Analysis of the Total Least Squares Problem
- Overview of total least-squares methods
- A second order perturbation expansion for small singular values
- Lanczos tridiagonalization and core problems
- The element-wise weighted total least-squares problem
- Algebraic connections between the least squares and total least squares problems
- New condition numbers for matrices and linear systems
- Scaled total least squares fundamentals
- Bounds for the least squares distance using scaled total least squares
- Generalized inverses: theory and computations
- Consistency of the structured total least squares estimator in a multivariate errors-in-variables model
- Generalized inverses. Theory and applications.
- Consistency of elementwise-weighted total least squares estimator in a multivariate errors-in-variables model \(AX=B\)
- Perturbation theory for orthogonal projection methods with applications to least squares and total least squares
- Mixed, Componentwise, and Structured Condition Numbers
- The Restricted Total Least Squares Problem: Formulation, Algorithm, and Properties
- On mixed and componentwise condition numbers for Moore–Penrose inverse and linear least squares problems
- Analysis and Solution of the Nongeneric Total Least Squares Problem
- Scaling for Numerical Stability in Gaussian Elimination
- On the Significance of Nongeneric Total Least Squares Problems
- The Analysis for the Total Least Squares Problem with More Than One Solution
- Analysis and Properties of the Generalized Total Least Squares Problem $AX \approx B$ When Some or All Columns in A are Subject to Error
- Accuracy and Stability of Numerical Algorithms
- Core Problems in Linear Algebraic Systems
