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Abstract: The null space method is a standard method for solving the linear least squares problem subject to equality constraints (the LSE problem). We show that three variants of the method, including one used in LAPACK that is based on the generalized QR factorization, are numerically stable. We derive two perturbation bounds for the LSE problem: one of standard form that is not attainable, and a bound that yields the condition number of the LSE problem to within a small constant factor. By combining... (Update)
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BibTeX entry: (Update)
Anthony J. Cox and Nicholas J. Higham. Accuracy and stability of the null space method for solving the equality constrained least squares problem. Numerical Analysis Report No. 306, Manchester Centre for Computational Mathematics, Manchester, England, August 1997. 20 pp. To appear in BIT. http://citeseer.ist.psu.edu/cox00accuracy.html More
@techreport{ cox97accuracy,
author = "Anthony J. Cox and Nicholas J. Higham",
title = "Accuracy and Stability of the Null Space Method for Solving the Equality Constrained Least Squares Problem",
number = "No. 306",
address = "Manchester, England",
pages = "20",
year = "1997",
url = "citeseer.ist.psu.edu/cox00accuracy.html" }
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