Solution of the linear regression problem using matrix correction methods in the \(l_1\) metric

DOI10.1134/S0965542516020081zbMath1384.62224OpenAlexW2328664723MaRDI QIDQ2630003

O. S. Trembacheva (Barkalova), V. A. Gorelik

Publication date: 8 July 2016

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542516020081

zbMATH Keywords

exponential distributionmaximum likelihood methoddata processingregression problemmatrix correction

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Special problems of linear programming (transportation, multi-index, data envelopment analysis, etc.) (90C08)

Related Items (1)

Determination of consistency and inconsistency radii for systems of linear equations and inequalities using the matrix \(l_1\) norm

Uses Software

• Matlab
• VanHuffel

Cites Work

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• An Analysis of the Total Least Squares Problem
• The matrix-restricted total least-squares problem
• Matrix correction of a linear programming problem with inconsistent constraints
• Minimax matrix correction of inconsistent systems of linear algebraic equations with block matrices of coefficients
• Matrix corrections minimal with respect to the Euclidean norm for linear programming problems
• Correction of improper linear programming problems in canonical form by applying the minimax criterion
• Total Least Norm Formulation and Solution for Structured Problems

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