A method of reconciliation of measured data with nonlinear constraints (Q1194402)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A method of reconciliation of measured data with nonlinear constraints |
scientific article; zbMATH DE number 64327
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A method of reconciliation of measured data with nonlinear constraints |
scientific article; zbMATH DE number 64327 |
Statements
A method of reconciliation of measured data with nonlinear constraints (English)
0 references
27 September 1992
0 references
The idea of the paper is to find a couple \((y,x)\) such that \(F(y,x)=0\), where \(x\) is interpreted as measured variable and in consequence should be as close as possible to a nominal value \(\hat x\); i.e., \(x\) is computed as a solution of \(\min\{\| x-\hat x\|;\;F(y,x)=0\}\). If the solution \(y\) is not uniquely determined then the algorithm computes the one that minimizes \(\| y-\hat y\|\), where \(\hat y\) is another nominal value.
0 references
least squares
0 references
two-level optimization
0 references
convergence
0 references
successive approximations
0 references
Newton's method
0 references
matrix pseudoinversion
0 references
reconciliation of measured data
0 references
