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An algorithm for solving the indefinite least squares problem with equality constraints

Bibliographic reference Mastronardi, Nicola ; Van Dooren, Paul. An algorithm for solving the indefinite least squares problem with equality constraints. In: Bit (Lisse) : numerical mathematics, Vol. 54, p. 201-218 (2014)
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  1. Bojanczyk Adam, Higham Nicholas J., Patel Harikrishna, The Equality Constrained Indefinite Least Squares Problem: Theory and Algorithms, 10.1023/b:bitn.0000007020.58972.07
  2. Bojanczyk Adam, Higham Nicholas J., Patel Harikrishna, Solving the Indefinite Least Squares Problem by Hyperbolic QR Factorization, 10.1137/s0895479802401497
  3. Chandrasekaran S., Gu M., Sayed A. H., A Stable and Efficient Algorithm for the Indefinite Linear Least-Squares Problem, 10.1137/s0895479896302229
  4. Golub Gene H., van Loan Charles F., An Analysis of the Total Least Squares Problem, 10.1137/0717073
  5. Golub, G.H., Van Loan, C.F.: Matrix Computations, 3rd edn. Johns Hopkins University Press, Baltimore (1996)
  6. Gould Nicholas I. M., On practical conditions for the existence and uniqueness of solutions to the general equality quadratic programming problem, 10.1007/bf01585660
  7. Hassibi B., Sayed A.H., Kailath T., Linear estimation in Krein spaces. I. Theory, 10.1109/9.481605
  8. Higham Nicholas J., J-Orthogonal Matrices: Properties and Generation, 10.1137/s0036144502414930
  9. Liu Qiaohua, Wang Minghui, Algebraic properties and perturbation results for the indefinite least squares problem with equality constraints, 10.1080/00207160802123433
  10. Liu Qiaohua, Pan Baozhen, Wang Qian, The hyperbolic elimination method for solving the equality constrained indefinite least squares problem, 10.1080/00207160902871253
  11. Mastronardi Nicola, Dooren Paul Van, The Antitriangular Factorization of Symmetric Matrices, 10.1137/110858860
  12. Mastronardi Nicola, Van Dooren Paul, Recursive approximation of the dominant eigenspace of an indefinite matrix, 10.1016/
  13. Mastronardi, N., Van Dooren, P.: A structurally backward stable algorithm for solving the indefinite least squares problem with equality constraints. IMA J. Numer. Anal. (submitted)
  14. Van Huffel Sabine, Vandewalle Joos, The Total Least Squares Problem : Computational Aspects and Analysis, ISBN:9780898712759, 10.1137/1.9781611971002