On mixed and componentwise condition numbers for indefinite least squares problem

DOI10.1016/j.laa.2014.01.030zbMath1286.65051OpenAlexW2049187351MaRDI QIDQ2442433

Hu Yang, Shaoxin Wang, Hanyu Li

Publication date: 3 April 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2014.01.030

zbMATH Keywords

numerical exampleMoore-Penrose inverseindefinite inner product spacecomponentwise condition numberindefinite least squares problemmixed condition number

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)

Related Items

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 ⋮ Representations and computations of \(\{2, 3^\sim \}\) and \(\{2, 4^\sim \}\)-inverses in indefinite inner product spaces ⋮ On the partial condition numbers for the indefinite least squares problem ⋮ Partial condition number for the equality constrained linear least squares problem ⋮ Splitting-based randomized iterative methods for solving indefinite least squares problem ⋮ Norm estimations for the Moore-Penrose inverse of multiplicative perturbations of matrices ⋮ On the condition number theory of the equality constrained indefinite least squares problem ⋮ Complex ZNN for computing time-varying weighted pseudo-inverses

Uses Software

• mctoolbox
• VanHuffel

Cites Work

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