Hyperbolic Householder Transforms

DOI10.1137/0609022zbMath0647.65027OpenAlexW2042099341MaRDI QIDQ3792145

Allan O. Steinhardt, Charles M. Rader

Publication date: 1988

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0609022

zbMATH Keywords

signal processingleast squares problemsrobust least squareshyperbolic normHouseholder reflectionsQR decompositionshyperbolic Householder transformshyperbolic transformsupdating of data

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Signal detection and filtering (aspects of stochastic processes) (60G35) Roundoff error (65G50) Direct numerical methods for linear systems and matrix inversion (65F05) Orthogonalization in numerical linear algebra (65F25)

Related Items (12)

Implementation of the regularized structured total least squares algorithms for blind image deblurring ⋮ Least squares modifications with inverse factorizations: Parallel implications ⋮ High performance algorithms for Toeplitz and block Toeplitz matrices ⋮ Modified Gram-Schmidt-based methods for block downdating the Cholesky factorization ⋮ Orthosymmetric block reflectors ⋮ Iteratively reweighted least squares: A comparison of several single step algorithms for linear models ⋮ A fast algorithm for subspace state-space system identification via exploitation of the displacement structure ⋮ Fast robust regression algorithms for problems with Toeplitz structure ⋮ Unifying unitary and hyperbolic transformations ⋮ A note on the hyperbolic singular value decomposition ⋮ Fast parallel QR decomposition of block-Toeplitz matrices ⋮ Computing \(A^ T A-B^ T B=L^ T DL\) using generalized hyperbolic transformations

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