Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
Numerical solution of linear least-squares problems with linear equality constraints
Journal of Optimization Theory and Applications
The Use of QR Factorization in Sparse Quadratic Programming and Backward Error Issues
SIAM Journal on Matrix Analysis and Applications
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The computation of Lagrange multipliers in linear least squares problems with equality constraints is studied. A perturbation analysis is performed to examine the conditioning of the problems; the behaviour of two algorithms on a class of test problems is shown on some graphs.