Hyperbolic householder transformations

DOI10.1109/TASSP.1986.1164998zbMath0629.93063MaRDI QIDQ3767226

Allan O. Steinhardt, Charles M. Rader

Publication date: 1986

Published in: IEEE Transactions on Acoustics, Speech, and Signal Processing (Search for Journal in Brave)

zbMATH Keywords

digital signal processingfinite word lengthhyperbolic Householder transformsmatrix down- and updating

Mathematics Subject Classification ID

Related Items (20)

Real structure-preserving algorithms of Householder based transformations for quaternion matrices ⋮ Rank-\(k\) modification methods for recursive least squares problems ⋮ Implementation of the regularized structured total least squares algorithms for blind image deblurring ⋮ Analysis of a recursive least squares hyperbolic rotation algorithm for signal processing ⋮ A block representation for products of hyperbolic Householder transforms ⋮ Perturbation and error analyses for block downdating of a Cholesky decomposition ⋮ High performance algorithms for Toeplitz and block Toeplitz matrices ⋮ A recursive three-stage least squares method for large-scale systems of simultaneous equations ⋮ New structure-preserving algorithms of Gauss-Seidel and successive over-relaxation iteration methods for quaternion linear systems ⋮ Estimating large-scale general linear and seemingly unrelated regressions models after deleting observations ⋮ Algorithms for indefinite linear least squares problems ⋮ On the power method for quaternion right eigenvalue problem ⋮ Block RLS using row Householder reflections ⋮ \(\mathbb G\)-reflectors: Analogues of Householder transformations in scalar product spaces ⋮ Sliding window adaptive SVD using the unsymmetric Householder partial compressor ⋮ Unifying unitary and hyperbolic transformations ⋮ A note on the hyperbolic singular value decomposition ⋮ Fast recursive identification of state space models via exploitation of displacement structure ⋮ Computing \(A^ T A-B^ T B=L^ T DL\) using generalized hyperbolic transformations ⋮ On accurate error estimates for the quaternion least squares and weighted least squares problems

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