Multidimensional Total Least Squares Problem with Linear Equality Constraints
From MaRDI portal
Publication:5028555
DOI10.1137/21M1400420zbMath1482.65062OpenAlexW4210601051MaRDI QIDQ5028555
Qiaohua Liu, Zhi-Gang Jia, Yi-Min Wei
Publication date: 10 February 2022
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m1400420
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical computation of matrix norms, conditioning, scaling (65F35)
Related Items
On condition numbers of the total least squares problem with linear equality constraint ⋮ Condition numbers of multidimensional mixed least squares-total least squares problems ⋮ Consistent estimation with the use of orthogonal projections for a linear regression model with errors in the variables ⋮ Regularized TLS-EM for estimating missing data
Uses Software
Cites Work
- 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
- On the condition number of the total least squares problem
- Some results on condition numbers of the scaled total least squares problem
- The Kronecker product and stochastic automata networks
- Condition numbers for a linear function of the solution of the linear least squares problem with equality constraints
- Perceptual audio modeling with exponentially damped sinusoids
- Perturbation analysis and condition numbers of scaled total least squares problems
- A contribution to the theory of condition
- Algebraic relations between the total least squares and least squares problems with more than one solution
- Accuracy and stability of the null space method for solving the equality constrained least squares problem
- A new approach to constrained total least squares image restoration
- Some new properties of the equality constrained and weighted least squares problem
- Mixed and componentwise condition numbers for a linear function of the solution of the total least squares problem
- Generalized inverses. Theory and applications.
- Efficient implementation of a structured total least squares based speech compression method
- On condition numbers of the total least squares problem with linear equality constraint
- Condition numbers of the multidimensional total least squares problems having more than one solution
- Perturbation analysis for total least squares problems with linear equality constraint
- The revisited total least squares problems with linear equality constraint
- Randomized core reduction for discrete ill-posed problem
- A contribution to perturbation analysis for total least squares problems
- Small sample statistical condition estimation for the total least squares problem
- A note on constrained total least-squares estimation
- Sensitivity and Conditioning of the Truncated Total Least Squares Solution
- Backward perturbation analysis for scaled total least-squares problems
- A Contribution to the Conditioning of the Total Least-Squares Problem
- Randomized algorithms for total least squares problems
- Mixed, Componentwise, and Structured Condition Numbers
- Solvability of the Core Problem with Multiple Right-Hand Sides in the TLS Sense
- On mixed and componentwise condition numbers for Moore–Penrose inverse and linear least squares problems
- On the Asymptotic Behavior of Scaled Singular Value and QR Decompositions
- Analysis and Solution of the Nongeneric Total Least Squares Problem
- On the Significance of Nongeneric Total Least Squares Problems
- The Analysis for the Total Least Squares Problem with More Than One Solution
- Perturbation Theory for the Rank-Deficient Equality Constrained Least Squares Problem
- Upper Perturbation Bounds of Weighted Projections, Weighted and Constrained Least Squares Problems
- Condition numbers for the truncated total least squares problem and their estimations
- On direct elimination methods for solving the equality constrained least squares problem
- Perturbation analysis for mixed least squares–total least squares problems
- Condition Numbers of the Multidimensional Total Least Squares Problem
- A Theory of Condition
- Misfit versus latency
This page was built for publication: Multidimensional Total Least Squares Problem with Linear Equality Constraints
