Total least squares problem with the arbitrary unitarily invariant norms

DOI10.1080/03081087.2016.1189493zbMath1367.15017OpenAlexW2419078306MaRDI QIDQ2961480

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Publication date: 20 February 2017

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

Full work available at URL: https://doi.org/10.1080/03081087.2016.1189493

zbMATH Keywords

singular value decompositiontotal least squaresunitarily invariant normssymmetric gauge function

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (5)

Krylov Subspace Approach to Core Problems within Multilinear Approximation Problems: A Unifying Framework ⋮ TLS formulation and core reduction for problems with structured right-hand sides ⋮ On TLS formulation and core reduction for data fitting with generalized models ⋮ Randomized core reduction for discrete ill-posed problem ⋮ Solvability classes for core problems in matrix total least squares minimization.

Cites Work

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• The Total Least Squares Problem in AX≈B: A New Classification with the Relationship to the Classical Works
• SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS
• Extension of the total least square problem using general unitarily invariant norms
• Matrix Analysis
• Band Generalization of the Golub--Kahan Bidiagonalization, Generalized Jacobi Matrices, and the Core Problem
• Core Problems in Linear Algebraic Systems

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