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The WY Representation for Products of Householder Matrices

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

inferredcites →https://doi.org/10.1007/bf01389653openalex-snapshot
Computing the CS and the generalized singular value decompositions
inferredcites →https://doi.org/10.1007/bf01396447openalex-snapshot
Computing theCS decomposition of a partitioned orthonormal matrix
inferredcites →https://doi.org/10.1007/bf02162505openalex-snapshot
Tridiagonalization of a symetric band matrix
inferredcites →https://doi.org/10.1016/0045-7825(76)90032-3openalex-snapshot
A new formulation of the hypermatrix Householder-QR decomposition
inferredcites →https://doi.org/10.1137/1.9781611971811openalex-snapshot
LINPACK Users' Guide
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Implementing Linear Algebra Algorithms for Dense Matrices on a Vector Pipeline Machine
inferredcites →https://doi.org/10.1145/1271.319413openalex-snapshot
Squeezing the most out of an algorithm in CRAY FORTRAN

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

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3. A Bibliography on Parallel and Vector Numerical Algorithms
inferred← citeshttps://doi.org/10.1137/100806783openalex-snapshot
Divide and Conquer on Hybrid GPU-Accelerated Multicore Systems
inferred← citeshttps://doi.org/10.1137/1032002openalex-snapshot
Parallel Algorithms for Dense Linear Algebra Computations
inferred← citeshttps://doi.org/10.1137/15m1044680openalex-snapshot
Randomized QR with Column Pivoting
inferred← citeshttps://doi.org/10.1137/16m1081270openalex-snapshot
Householder QR Factorization With Randomization for Column Pivoting (HQRRP)
inferred← citeshttps://doi.org/10.1137/16m1103890openalex-snapshot
Distributed One-Stage Hessenberg-Triangular Reduction with Wavefront Scheduling
inferred← citeshttps://doi.org/10.1137/17m1117732openalex-snapshot
The Singular Value Decomposition: Anatomy of Optimizing an Algorithm for Extreme Scale
inferred← citeshttps://doi.org/10.1137/17m1153637openalex-snapshot
A Householder-Based Algorithm for Hessenberg-Triangular Reduction
inferred← citeshttps://doi.org/10.1137/18m1167322openalex-snapshot
Efficient Reduction of Banded Hermitian Positive Definite Generalized Eigenvalue Problems to Banded Standard Eigenvalue Problems
inferred← citeshttps://doi.org/10.1137/18m1197400openalex-snapshot
Block Modified Gram--Schmidt Algorithms and Their Analysis
inferred← citeshttps://doi.org/10.1137/19m1296367openalex-snapshot
Rounding Error Analysis of Mixed Precision Block Householder QR Algorithms
inferred← citeshttps://doi.org/10.1137/20m1335571openalex-snapshot
Randomized Projection for Rank-Revealing Matrix Factorizations and Low-Rank Approximations
inferred← citeshttps://doi.org/10.1137/22m1514817openalex-snapshot
Probabilistic Rounding Error Analysis of Householder QR Factorization
inferred← citeshttps://doi.org/10.1137/22m1544555openalex-snapshot
A Block Householder–Based Algorithm for the QR Decomposition of Hierarchical Matrices
inferred← citeshttps://doi.org/10.1137/23m1547093openalex-snapshot
Parallel Two-Stage Reduction to Hessenberg-Triangular Form
inferred← citeshttps://doi.org/10.1137/23m1585817openalex-snapshot
Probabilistic Rounding Error Analysis of Modified Gram–Schmidt
inferred← citeshttps://doi.org/10.1137/24m1655482openalex-snapshot
Rounding Error Analysis of the Inverse Compact WY Modified Gram–Schmidt Algorithms
inferred← citeshttps://doi.org/10.1137/s0036144503428693openalex-snapshot
Recursive Blocked Algorithms and Hybrid Data Structures for Dense Matrix Library Software
inferred← citeshttps://doi.org/10.1137/s0895479892227608openalex-snapshot
On Tridiagonalizing and Diagonalizing Symmetric Matrices with Repeated Eigenvalues
inferred← citeshttps://doi.org/10.1137/s0895479893244353openalex-snapshot
Sparse Multifrontal Rank Revealing QR Factorization
inferred← citeshttps://doi.org/10.1137/s0895479893259509openalex-snapshot
Multifrontal Computation with the Orthogonal Factors of Sparse Matrices
inferred← citeshttps://doi.org/10.1137/s1064827594269056openalex-snapshot
Fast Diagonalization of Large and Dense Complex Symmetric Matrices, with Applications to Quantum Reaction Dynamics
inferred← citeshttps://doi.org/10.1145/1055531.1055534openalex-snapshot
Parallel out-of-core computation and updating of the QR factorization
inferred← citeshttps://doi.org/10.1145/1141885.1141886openalex-snapshot
Accumulating Householder transformations, revisited
inferred← citeshttps://doi.org/10.1145/1141885.1141895openalex-snapshot
Algorithm 854
inferred← citeshttps://doi.org/10.1145/1188455.1188504openalex-snapshot
Gordon Bell finalists I---High-performance computing for exact numerical approaches to quantum many-body problems on the earth simulator
inferred← citeshttps://doi.org/10.1145/131766.131769openalex-snapshot
Stability of block algorithms with fast level-3 BLAS
inferred← citeshttps://doi.org/10.1145/1356052.1356055openalex-snapshot
Cache efficient bidiagonalization using BLAS 2.5 operators
inferred← citeshttps://doi.org/10.1145/1513895.1513904openalex-snapshot
QR decomposition on GPUs
inferred← citeshttps://doi.org/10.1145/1693453.1693484openalex-snapshot
Scaling LAPACK panel operations using parallel cache assignment
inferred← citeshttps://doi.org/10.1145/178365.174413openalex-snapshot
A parallel block implementation of Level-3 BLAS for MIMD vector processors
inferred← citeshttps://doi.org/10.1145/1837853.1693484openalex-snapshot
Scaling LAPACK panel operations using parallel cache assignment
inferred← citeshttps://doi.org/10.1145/2049662.2049666openalex-snapshot
High-performance up-and-downdating via householder-like transformations
inferred← citeshttps://doi.org/10.1145/2049662.2049670openalex-snapshot
Algorithm 915, SuiteSparseQR
inferred← citeshttps://doi.org/10.1145/2133173.2133179openalex-snapshot
Soft error resilient QR factorization for hybrid system with GPGPU
inferred← citeshttps://doi.org/10.1145/2382585.2382587openalex-snapshot
Families of Algorithms for Reducing a Matrix to Condensed Form
inferred← citeshttps://doi.org/10.1145/2450153.2450157openalex-snapshot
Efficient generalized Hessenberg form and applications
inferred← citeshttps://doi.org/10.1145/2464996.2465438openalex-snapshot
Toward a scalable multi-GPU eigensolver via compute-intensive kernels and efficient communication
inferred← citeshttps://doi.org/10.1145/2491491.2491492openalex-snapshot
Scaling LAPACK panel operations using parallel cache assignment
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