We present some new results on the perturbation analysis for least squares problems with equality constraints, based on an equivalent formation of the problem and the optimal perturbation result for general least squares problems.
New perturbation results for equality-constrained least squares problems
β Scribed by Jiu Ding; Weihua Hang
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 561 KB
- Volume
- 272
- Category
- Article
- ISSN
- 0024-3795
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β¦ Synopsis
We present some perturbation results for least squares problems with equality constraints. Relative errors are obtained on perturbed solutions and Lagrange multipliers of the problem, based on the equivalence of the problem to a consistent system of linear equations.
π SIMILAR VOLUMES
By means of complex representation of a quaternion matrix, we study the relationship between the solutions of the quaternion equality constrained least squares problem and that of complex equality constrained least squares problem, and obtain a new technique of finding a solution of the quaternion e
## By using complex representation and GSVD of quaternion matrices, we define the norm of quatemion matrices, study the equality constrained least squares problem of quatemion matrices, give the necessary and sufficient conditions for the quatemion equality constrained least squarea problem to hav