Optimal Solution Properties of an Overdetermined System of Linear Equations
| Autor: | Zlatko Pavić, Vedran Novoselac |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Linear equations
overdetermined systems equivariance Statistics and Probability Numerical Analysis Algebra and Number Theory Applied Mathematics Regular polygon Weighted median Theoretical Computer Science Overdetermined system Norm (mathematics) Applied mathematics Equivariant map Geometry and Topology Affine transformation Minification Linear equation Mathematics |
| Zdroj: | European Journal of Pure and Applied Mathematics. 12:1360-1370 |
| ISSN: | 1307-5543 |
| DOI: | 10.29020/nybg.ejpam.v12i4.3517 |
| Popis: | The paper considers the solution properties of an overdetermined system of linear equations in a given norm. The problem is observed as a minimization of the corresponding functional of the errors. Presenting the main results of $p$ norm it is shown that the functional is convex. Following the convex properties we examine minimization properties showing that the problem possesses regression, scale, and affine equivariant properties. As an example we illustrated the problem of finding weighted mean and weighted median of the data. |
| Databáze: | OpenAIRE |
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