The equality constrained indefinite least squares problem: Theory and algorithms
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Publication:1431659
DOI10.1023/B:BITN.0000007020.58972.07zbMath1050.65035OpenAlexW2004789714WikidataQ56998815 ScholiaQ56998815MaRDI QIDQ1431659
Harikrishna Patel, Nicholas J. Higham, Adam W. Bojanczyk
Publication date: 11 June 2004
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/b:bitn.0000007020.58972.07
algorithmsperturbation theorynumerical experimentsCholesky factorizationrounding error analysishyperbolic QR factorizationhyperbolic rotationforward stability\(J\)-orthogonal matrixequality constrained indefinite least squares problem
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Backward error and condition number analysis for the indefinite linear least squares problem ⋮ A contribution to the conditioning theory of the indefinite least squares problems ⋮ Two-sided generalized hyperbolic QR factorization and its perturbation analysis ⋮ Splitting-based randomized iterative methods for solving indefinite least squares problem ⋮ On mixed and componentwise condition numbers for indefinite least squares problem ⋮ An algorithm for solving the indefinite least squares problem with equality constraints ⋮ The generalized weighted Moore-Penrose inverse ⋮ Algorithms for indefinite linear least squares problems ⋮ The hyperbolic elimination method for solving the equality constrained indefinite least squares problem ⋮ An algorithm based on QSVD for the quaternion equality constrained least squares problem ⋮ On the condition number theory of the equality constrained indefinite least squares problem ⋮ Linearised Estimate of the Backward Error for Equality Constrained Indefinite Least Squares Problems ⋮ Algebraic properties and perturbation results for the indefinite least squares problem with equality constraints ⋮ A real structure-preserving algorithm based on the quaternion QR decomposition for the quaternion equality constrained least squares problem
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