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Block Reflectors: Theory and Computation

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

inferredcites →https://doi.org/10.1002/zamm.19330130111openalex-snapshot
Iterative Berechung der reziproken Matrix
inferredcites →https://doi.org/10.1016/0024-3795(87)90314-4openalex-snapshot
The generalized householder transformation and sparse matrices
inferredcites →https://doi.org/10.1016/0045-7825(74)90023-1openalex-snapshot
QR-factorization of partitioned matrices
inferredcites →https://doi.org/10.1016/0045-7825(76)90032-3openalex-snapshot
A new formulation of the hypermatrix Householder-QR decomposition
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The Rotation of Eigenvectors by a Perturbation. III
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Computing the Polar Decomposition—with Applications
inferredcites →https://doi.org/10.1137/0908009openalex-snapshot
The WY Representation for Products of Householder Matrices
inferredcites →https://doi.org/10.1137/1.9781611971163openalex-snapshot
The Symmetric Eigenvalue Problem
inferredcites →https://doi.org/10.1137/1019104openalex-snapshot
On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
inferredcites →https://doi.org/10.1137/1026003openalex-snapshot
Implementing Linear Algebra Algorithms for Dense Matrices on a Vector Pipeline Machine
inferredcites →https://doi.org/10.1145/355841.355847openalex-snapshot
Basic Linear Algebra Subprograms for Fortran Usage
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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Multi-sweep Algorithms for the Symmetric Eigenproblem
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Linear Least Squares and Orthogonal Factorization
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Block Algorithms for Parallel Machines
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High Performance Polar Decomposition on Distributed Memory Systems
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Matrix Computations on Shared-Memory Multiprocessors
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Orthogonal Factorization and Linear Least Squares Problems
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Convergence Analysis of the Block Householder Block Diagonalization Algorithm
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A unified convergence analysis of random sketch methods for rank deficient linear systems
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Perturbation and interlace theorems for the unitary eigenvalue problem
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A note on the parallel Cholesky factorization of wide banded matrices
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A parallel algorithm for computing the polar decomposition
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Gaussian quadrature for matrix valued functions on the real line
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Updating the QR decomposition of block tridiagonal and block Hessenberg matrices
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Distance problems in the behavioral setting
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Reconstructing Householder vectors from Tall-Skinny QR
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Orthosymmetric block reflectors
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Chapter 6 A survey of matrix computations
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Parallel householder method for linear systems
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Systolic computation of QZ matrix decomposition
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Recent Developments in Dense Numerical Linear Algebra
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Nonlinear optical processes in cavity light-matter systems
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A Newton-squaring algorithm for computing the negative invariant subspace of a matrix
inferred← citeshttps://doi.org/10.1109/acssc.2011.6190053openalex-snapshot
Block circular and hyperbolic transformations for the block fast array RLS algorithm
inferred← citeshttps://doi.org/10.1109/icassp.2017.7952849openalex-snapshot
Orthogonal precoding for sidelobe suppression in DFT-based systems using block reflectors
inferred← citeshttps://doi.org/10.1109/icc.2018.8423033openalex-snapshot
Computationally Efficient Orthogonal Precoding for Sidelobe Suppression of OFDM Signals
inferred← citeshttps://doi.org/10.1109/ipdps.2014.120openalex-snapshot
Reconstructing Householder Vectors from Tall-Skinny QR
inferred← citeshttps://doi.org/10.1109/mc.1987.1663618openalex-snapshot
The Saxpy Matrix-1: A General-Purpose Systolic Computer
inferred← citeshttps://doi.org/10.1109/pdp2018.2018.00068openalex-snapshot
Fast Blocking of Householder Reflectors on Graphics Processors
inferred← citeshttps://doi.org/10.1109/spawc.2012.6292987openalex-snapshot
Subspace beamforming via block SVD for MIMO systems
inferred← citeshttps://doi.org/10.1109/tpds.2018.2803820openalex-snapshot
Efficient Realization of Householder Transform Through Algorithm-Architecture Co-Design for Acceleration of QR Factorization
inferred← citeshttps://doi.org/10.1109/wacv.2018.00143openalex-snapshot
QRkit: Sparse, Composable QR Decompositions for Efficient and Stable Solutions to Problems in Computer Vision
inferred← citeshttps://doi.org/10.1137/0610041openalex-snapshot
Cholesky Factor Updating Techniques for Rank 2 Matrix Modifications
inferred← citeshttps://doi.org/10.1137/0612028openalex-snapshot
Implicit Shifting in the QR and Related Algorithms
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Perturbation Bounds for the Polar Decomposition
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A Storage-Efficient $WY$ Representation for Products of Householder Transformations
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Fast Polar Decomposition of an Arbitrary Matrix
inferred← citeshttps://doi.org/10.1137/0911062openalex-snapshot
Algorithms for the Polar Decomposition
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3. A Bibliography on Parallel and Vector Numerical Algorithms
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Parallel Algorithms for Dense Linear Algebra Computations
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Admissible and Attainable Convergence Behavior of Block Arnoldi and GMRES
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Fast Diagonalization of Large and Dense Complex Symmetric Matrices, with Applications to Quantum Reaction Dynamics
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A set of level 3 basic linear algebra subprograms
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Orthosymmetric block rotations
inferred← citeshttps://doi.org/10.2197/ipsjdc.2.298openalex-snapshot
An Implementation of the Block Householder Method
inferred← citeshttps://doi.org/10.2197/ipsjjip.30.538openalex-snapshot
Solving Block Low-Rank Matrix Eigenvalue Problems
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Model-Based Stripmap Synthetic Aperture Radar Processing
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High-Performance Partial Spectrum Computation for Symmetric eigenvalue problems and the SVD
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Solving linear systems arising from reservoirs modelling
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