The degenerate bounded errors-in-variables model (Q2719207)
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scientific article; zbMATH DE number 1608870
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The degenerate bounded errors-in-variables model |
scientific article; zbMATH DE number 1608870 |
Statements
21 June 2001
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least squares problems
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parameter estimation
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total least squares
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algorithm
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The degenerate bounded errors-in-variables model (English)
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The paper is devoted to a special case of the error-in-variable problem. It is viewed as total least squares with bounds on the uncertainty in the coefficient matrix. The chosen approach advantage is given as a motivation for further considerations. Corresponding proofs and algorithm synthesis are presented. A computable condition for checking if the problem is degenerate (i.e. when it has multiple solutions) is given. The obtained algorithm provides a global solution with minimum Euclidean norm. A tabulation of the obtained result, and an extension to the problem of a column-partitioned matrix with uncertainty in only one partition is presented.
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