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Fast Parallel Algorithms for QR and Triangular Factorization

https://doi.org/10.1137/0908073
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What this work says

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

inferredcites →https://doi.org/10.1007/978-3-0348-5483-2_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/10.1016/0022-247x(79)90124-0openalex-snapshot
Displacement ranks of matrices and linear equations
inferredcites →https://doi.org/10.1016/0024-3795(80)90161-5openalex-snapshot
Asymptotically fast solution of toeplitz and related systems of linear equations
inferredcites →https://doi.org/10.1016/0024-3795(86)90178-3openalex-snapshot
Fast matrix factorizations via discrete transmission lines
inferredcites →https://doi.org/10.1016/0165-1684(85)90048-9openalex-snapshot
VLSI and modern signal processing
inferredcites →https://doi.org/10.1016/0196-6774(80)90013-9openalex-snapshot
Fast solution of toeplitz systems of equations and computation of Padé approximants
inferredcites →https://doi.org/10.1063/1.526133openalex-snapshot
An exact recursion for the composite nearest-neighbor degeneracy for a 2× N lattice space
inferredcites →https://doi.org/10.1090/s0273-0979-1979-14659-7openalex-snapshot
Displacement ranks of a matrix
inferredcites →https://doi.org/10.1093/imamat/12.3.329openalex-snapshot
Least Squares Computations by Givens Transformations Without Square Roots
inferredcites →https://doi.org/10.1093/imamat/13.2.215openalex-snapshot
A Note on Modifications to the Givens Plane Rotation
inferredcites →https://doi.org/10.1093/imamat/23.2.203openalex-snapshot
The Effects of Rounding Error on an Algorithm for Downdating a Cholesky Factorization
inferredcites →https://doi.org/10.1109/tac.1978.1101797openalex-snapshot
Extended Levinson and Chandrasekhar equations for general discrete-time linear estimation problems
inferredcites →https://doi.org/10.1109/tit.1974.1055174openalex-snapshot
A view of three decades of linear filtering theory
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/10.1109/tit.1984.1056849openalex-snapshot
Lattice filter parameterization and modeling of nonstationary processes
inferredcites →https://doi.org/10.1137/0137037openalex-snapshot
The Factorization and Representation of Operators in the Algebra Generated by Toeplitz Operators
inferredcites →https://doi.org/10.1137/0906025openalex-snapshot
Stability of Methods for Solving Toeplitz Systems of Equations
inferredcites →https://doi.org/10.1137/0908063openalex-snapshot
Fast Toeplitz Orthogonalization Using Inner Products
inferredcites →https://doi.org/10.1515/crll.1917.147.205openalex-snapshot
Über Potenzreihen, die im Innern des Einheitskreises beschränkt sind.
inferredcites →https://doi.org/10.2307/1401322openalex-snapshot
The Fitting of Time-Series Models
inferredcites →https://doi.org/10.2307/2007453openalex-snapshot
The Symmetric Eigenvalue Problem.

What points at this work

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

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Displacement Structure: Two Related Perspectives
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Fast algorithms for generalized displacement structures and lossless systems
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Improved parallel computations with Toeplitz-like and Hankel-like matrices
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Product rules for the displacement of near-Toeplitz matrices
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Supereffective slow-down of parallel computations
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Parallel computations with Toeplitz-like and Hankel-like matrices
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On some computations with dense structured matrices
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Parallel least-squares solution of general and Toeplitz systems
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Stability of fast algorithms for structured linear systems
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Incremental refinement of a multi-user-detection algorithm (II)
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Fast Algorithms for Structured Least Squares and Total Least Squares Problems
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