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Hyperbolic Householder Algorithms for Factoring Structured Matrices

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4684-6393-4_4openalex-snapshot
Displacement Structure for Hankel- and Vandermonde-Like Matrices
inferredcites →https://doi.org/10.1007/978-3-0348-5483-2_12openalex-snapshot
Triangular Factorization of Structured Hermitian Matrices
inferredcites →https://doi.org/10.1007/bf01389431openalex-snapshot
QR factorization of Toeplitz matrices
inferredcites →https://doi.org/10.1007/bf01389635openalex-snapshot
Fast Toeplitz orthogonalization
inferredcites →https://doi.org/10.1007/bfb0002643openalex-snapshot
Orthogonal transformation (square-root) implementations of the generalized Chandrasekhar and generalized Levinson algorithms
inferredcites →https://doi.org/10.1016/0022-247x(79)90124-0openalex-snapshot
Displacement ranks of matrices and linear equations
inferredcites →https://doi.org/10.1016/0024-3795(86)90163-1openalex-snapshot
Parallel solution of symmetric positive definite systems with hyperbolic rotations
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A new algorithm for solving Toeplitz systems of equations
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Analysis of a recursive least squares hyperbolic rotation algorithm for signal processing
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Computer architecture and parallel processing
inferredcites →https://doi.org/10.1016/b978-0-12-498150-8.50021-5openalex-snapshot
MATRIX DECOMPOSITIONS AND STATISTICAL CALCULATIONS††This work was in part supported by the National Science Foundation and Office of Naval Research.
inferredcites →https://doi.org/10.1090/s0025-5718-1974-0343558-6openalex-snapshot
Methods for Modifying Matrix Factorizations
inferredcites →https://doi.org/10.1109/29.31277openalex-snapshot
Stabilized hyperbolic Householder transformations
inferredcites →https://doi.org/10.1109/tassp.1985.1164645openalex-snapshot
A generalization of the Levinson algorithm for Hermitian Toeplitz matrices with any rank profile
inferredcites →https://doi.org/10.1109/tassp.1986.1164998openalex-snapshot
Hyperbolic householder transformations
inferredcites →https://doi.org/10.1109/tit.1983.1056642openalex-snapshot
A polynomial approach to the generalized Levinson algorithm based on the Toeplitz distance
inferredcites →https://doi.org/10.1137/0609005openalex-snapshot
Superfast Solution of Real Positive Definite Toeplitz Systems
inferredcites →https://doi.org/10.1137/0609022openalex-snapshot
Hyperbolic Householder Transforms
inferredcites →https://doi.org/10.1137/0905016openalex-snapshot
An Efficient Algorithm for the Regularization of Ill-Conditioned Least Squares Problems with Triangular Toeplitz Matrix
inferredcites →https://doi.org/10.1137/0908031openalex-snapshot
A Note on Downdating the Cholesky Factorization
inferredcites →https://doi.org/10.1137/0908063openalex-snapshot
Fast Toeplitz Orthogonalization Using Inner Products
inferredcites →https://doi.org/10.1137/0908073openalex-snapshot
Fast Parallel Algorithms for QR and Triangular Factorization
inferredcites →https://doi.org/10.1137/1.9781611971811openalex-snapshot
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What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Square-Root Algorithms for Structured Matrices, Interpolation, and Completion Problems
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Complexity of Algorithms for Linear Systems of Equations
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Iterative Toeplitz solvers with local quadratic convergence
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Fast inverse Cholesky decomposition for rectangular Toeplitz-block matrix
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Fast cholesky factorization algorithm for s. p. d block-Toeplitz matrices
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Two newBMO spaces and sharp operators of B-valued martingale
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Fast parallel QR decomposition of block-Toeplitz matrices
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A multicore solution to Block–Toeplitz linear systems of equations
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Fast recursive identification of state space models via exploitation of displacement structure
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High performance algorithms for Toeplitz and block Toeplitz matrices
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A fast algorithm for −1 factorization of Toeplitz matrices
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A fast, preconditioned conjugate gradient Toeplitz and Toeplitz-like solvers
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Orthosymmetric block reflectors
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A generalized unitary Hessenberg matrix
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Parallel algorithms for downdating the least squares estimator of the regression model
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Unifying unitary and hyperbolic transformations
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An implicit Jacobi-like method for computing generalized hyperbolic SVD
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Inverse updating and downdating for weighted linear least squares using M-invariant reflections
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Computationally efficient cholesky factorization of a covariance matrix with block toeplitz structure
inferred← citeshttps://doi.org/10.1109/25.669094openalex-snapshot
An algorithm for short-block data detection in the near-to-Toeplitz case
inferred← citeshttps://doi.org/10.1109/71.224221openalex-snapshot
Concurrent iterative algorithm for Toeplitz-like linear systems
inferred← citeshttps://doi.org/10.1109/78.134396openalex-snapshot
The hyperbolic singular value decomposition and applications
inferred← citeshttps://doi.org/10.1109/78.295212openalex-snapshot
Time-variant displacement structure and triangular arrays
inferred← citeshttps://doi.org/10.1109/9.328824openalex-snapshot
Fast identification of state-space models via exploitation of displacement structure
inferred← citeshttps://doi.org/10.1109/icassp.1992.226518openalex-snapshot
Schur parametrization of symmetric matrices with any rank profile
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On solving block Toeplitz matrices using a block Schur algorithm
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The hyperbolic singular value decomposition and applications
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Some results on the conditioning of the near-to-Toeplitz matrix arising in linear block estimation
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FPGA Implementation of a Recursive Rank One Updating Matrix Inversion Algorithm for Constrained MPC
inferred← citeshttps://doi.org/10.1137/1034049openalex-snapshot
Complexity of Computations with Matrices and Polynomials
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Displacement Structure: Theory and Applications
inferred← citeshttps://doi.org/10.1137/s0895479889169042openalex-snapshot
Generalized Displacement Structure for Block-Toeplitz, Toeplitz-Block, and Toeplitz-Derived Matrices
inferred← citeshttps://doi.org/10.1137/s0895479893261340openalex-snapshot
A Schur Method for Low-Rank Matrix Approximation
inferred← citeshttps://doi.org/10.1137/s0895479896302229openalex-snapshot
A Stable and Efficient Algorithm for the Indefinite Linear Least-Squares Problem
inferred← citeshttps://doi.org/10.1137/s0895479897319581openalex-snapshot
On Hyperbolic Triangularization: Stability and Pivoting
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GAUSSIAN PROCESSES FOR MACHINE LEARNING
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Graph-Based Strategies for Performing the Exhaustive and Randomk-Fold Cross-Validations
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