About existence and uniqueness of the restricted total least squares estimation

DOI10.1007/BF01385761zbMath0801.65038MaRDI QIDQ1326460

Dieter Kuhn

Publication date: 4 December 1994

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133744

zbMATH Keywords

inverse problemLagrangian multipliersobservation errorcoefficient identificationtotal least squares methodlinear parabolic differential operators

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Heat equation (35K05) Inverse problems for PDEs (35R30) Applications to the sciences (65Z05)

Cites Work

• An Analysis of the Total Least Squares Problem
• Piecewise affine bijections of \(\mathbb R^n\), and the equation \(Sx^ +- Tx^ -=y\)
• The partial total least squares algorithm
• Algebraic connections between the least squares and total least squares problems
• Estimating structural and functional relationships
• The Smallest Perturbation of a Submatrix which Lowers the Rank and Constrained Total Least Squares Problems
• Analysis and Properties of the Generalized Total Least Squares Problem $AX \approx B$ When Some or All Columns in A are Subject to Error
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