On direct elimination methods for solving the equality constrained least squares problem
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Publication:5190348
DOI10.1080/03081080801928068zbMath1192.65043OpenAlexW2057991228MaRDI QIDQ5190348
Publication date: 17 March 2010
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081080801928068
numerical examplesround-off errorleast squares problemcolumn pivotingdirect elimination methodmodified Gram-Schmidt methodequality constrained least squares
Related Items (3)
On condition numbers of the total least squares problem with linear equality constraint ⋮ A self-scaling G-transformation for weighted least squares problems ⋮ Multidimensional Total Least Squares Problem with Linear Equality Constraints
Cites Work
- Algebraic properties of the rank-deficient equality-constrained and weighted least squares problems
- Numerics of Gram-Schmidt orthogonalization
- On the weighting method for least squares problems with linear equality constraints
- Roundoff error estimates of the modified Gram-Schmidt algorithm with column pivoting
- Multiplier and gradient methods
- On the Method of Weighting for Equality-Constrained Least-Squares Problems
- The Direct Solution of Weighted and Equality Constrained Least-Squares Problems
- Loss and Recapture of Orthogonality in the Modified Gram–Schmidt Algorithm
- A minimization method for the solution of large symmetriric eigenproblems
- Row-Wise Backward Stable Elimination Methods for the Equality Constrained Least Squares Problem
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