Extension of the total least square problem using general unitarily invariant norms

DOI10.1080/03081080600593428zbMath1112.65037OpenAlexW2010867937MaRDI QIDQ3422761

Chi-Kwong Li, Xuefeng Wang, Xin-Guo Liu

Publication date: 14 February 2007

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081080600593428

zbMATH Keywords

Total least squaresRange spacesUnitarily invariant norms

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (5)

Krylov Subspace Approach to Core Problems within Multilinear Approximation Problems: A Unifying Framework ⋮ A Gauss-Newton iteration for total least squares problems ⋮ TLS formulation and core reduction for problems with structured right-hand sides ⋮ Total least squares problem with the arbitrary unitarily invariant norms ⋮ On TLS formulation and core reduction for data fitting with generalized models

Cites Work

• An Analysis of the Total Least Squares Problem
• Cauchy-Schwarz inequalities associated with positive semidefinite matrices
• Algebraic relations between the total least squares and least squares problems with more than one solution
• Some aspects of the theory of norms
• Eigenvalue inequalities and equalities
• Principal submatrices. IX: Interlacing inequalities for singular values of submatrices
• SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS
• The Analysis for the Total Least Squares Problem with More Than One Solution

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