Hyperbolic Householder Algorithms for Factoring Structured Matrices

DOI10.1137/0611035zbMath0726.65025OpenAlexW2038610163MaRDI QIDQ3350653

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Publication date: 1990

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

Full work available at URL: https://doi.org/10.1137/0611035

zbMATH Keywords

performanceHermitian matricesfactorization of matricesHermitian Toeplitz matricestriangular decompositionssmall displacement rankAlliant FX/80Cray X-MP/48Cray-2hyperbolic Householder transformations

Mathematics Subject Classification ID

Factorization of matrices (15A23) Direct numerical methods for linear systems and matrix inversion (65F05) Orthogonalization in numerical linear algebra (65F25)

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A fast, preconditioned conjugate gradient Toeplitz and Toeplitz-like solvers ⋮ High performance algorithms for Toeplitz and block Toeplitz matrices ⋮ Computationally efficient cholesky factorization of a covariance matrix with block toeplitz structure ⋮ A generalized unitary Hessenberg matrix ⋮ Orthosymmetric block reflectors ⋮ Iterative Toeplitz solvers with local quadratic convergence ⋮ Inverse updating and downdating for weighted linear least squares using \(M\)-invariant reflections ⋮ Unifying unitary and hyperbolic transformations ⋮ An implicit Jacobi-like method for computing generalized hyperbolic SVD ⋮ Fast cholesky factorization algorithm for s. p. d block-Toeplitz matrices ⋮ Fast parallel QR decomposition of block-Toeplitz matrices ⋮ Fast inverse Cholesky decomposition for rectangular Toeplitz-block matrix ⋮ Fast recursive identification of state space models via exploitation of displacement structure

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