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Parallel Algorithms for Dense Linear Algebra Computations
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Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/3-540-07546-1openalex-snapshot
Matrix Eigensystem Routines — EISPACK Guide
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Parallel algorithms on the cedar system
inferredcites →https://doi.org/10.1007/978-1-4613-1711-1openalex-snapshot
Data Organization in Parallel Computers
inferredcites →https://doi.org/10.1007/978-1-4899-2112-3openalex-snapshot
Introduction to Parallel and Vector Solution of Linear Systems
inferredcites →https://doi.org/10.1007/978-3-642-86940-2openalex-snapshot
Handbook for Automatic Computation
inferredcites →https://doi.org/10.1007/bf01389871openalex-snapshot
Parallel QR decomposition of a rectangular matrix
inferredcites →https://doi.org/10.1007/bf01396757openalex-snapshot
A divide and conquer method for the symmetric tridiagonal eigenproblem
inferredcites →https://doi.org/10.1007/bf02163027openalex-snapshot
Singular value decomposition and least squares solutions
inferredcites →https://doi.org/10.1007/bf02165411openalex-snapshot
Gaussian elimination is not optimal
inferredcites →https://doi.org/10.1007/bf02259647openalex-snapshot
Parallel Poisson and Biharmonic solvers
inferredcites →https://doi.org/10.1016/0010-4655(85)90148-1openalex-snapshot
On some parallel algorithms on a ring of processors
inferredcites →https://doi.org/10.1016/0020-0190(76)90077-6openalex-snapshot
Matrix multiplication by diagonals on a vector/parallel processor
inferredcites →https://doi.org/10.1016/0021-9991(79)90059-7openalex-snapshot
Direct methods for the solution of the discrete Poisson equation: Some comparisons
inferredcites →https://doi.org/10.1016/0021-9991(80)90092-3openalex-snapshot
On the FACR(l) algorithm for the discrete Poisson equation
inferredcites →https://doi.org/10.1016/0024-3795(86)90169-2openalex-snapshot
Complexity of dense-linear-system solution on a multiprocessor ring
inferredcites →https://doi.org/10.1016/0024-3795(89)90692-7openalex-snapshot
An efficient parallel scheme for minimizing a sum of Euclidean norms
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
inferredcites →https://doi.org/10.1016/0045-7825(87)90052-1openalex-snapshot
Algorithms and experiments for structural mechanics on high-performance architectures
inferredcites →https://doi.org/10.1016/0167-8191(85)90016-xopenalex-snapshot
A parallel partition method for solving banded systems of linear equations
inferredcites →https://doi.org/10.1016/0167-8191(86)90004-9openalex-snapshot
Implementation of some concurrent algorithms for matrix factorization
inferredcites →https://doi.org/10.1016/0167-8191(87)90007-xopenalex-snapshot
Gaussian elimination with partial pivoting and load balancing on a multiprocessor
inferredcites →https://doi.org/10.1016/0167-8191(87)90017-2openalex-snapshot
A parallel implementation of the QR-algorithm
inferredcites →https://doi.org/10.1016/0167-8191(87)90020-2openalex-snapshot
Solving banded systems on a parallel processor
inferredcites →https://doi.org/10.1016/0167-8191(87)90040-8openalex-snapshot
Analysis of a parallel solution method for tridiagonal linear systems
inferredcites →https://doi.org/10.1016/0167-8191(87)90060-3openalex-snapshot
Matrix algorithms on a hypercube I: Matrix multiplication
inferredcites →https://doi.org/10.1016/0167-8191(88)90009-9openalex-snapshot
Parallel solution of triangular systems of equations
inferredcites →https://doi.org/10.1016/0167-8191(88)90142-1openalex-snapshot
Dense linear systems FORTRAN solvers on the IBM 3090 vector multiprocessor
inferredcites →https://doi.org/10.1016/0167-8191(89)90014-8openalex-snapshot
A parallel block cyclic reduction algorithm for the fast solution of elliptic equations
inferredcites →https://doi.org/10.1016/0377-0427(89)90369-5openalex-snapshot
Vector and parallel methods for the direct solution of Poisson's equation
inferredcites →https://doi.org/10.1016/0743-7315(88)90014-7openalex-snapshot
Strategies for cache and local memory management by global program transformation
inferredcites →https://doi.org/10.1016/b978-0-12-100560-3.50018-4openalex-snapshot
A FAST POISSON SOLVER FOR MULTIPROCESSORS11Research supported in part by NSF grant MCS 81-17010.
inferredcites →https://doi.org/10.1016/s0167-8191(84)90165-0openalex-snapshot
On some parallel banded system solvers
inferredcites →https://doi.org/10.1090/s0002-9947-1960-0109825-2openalex-snapshot
The Cyclic Jacobi Method for Computing the Principal Values of a Complex Matrix
inferredcites →https://doi.org/10.1090/s0025-5718-1971-0297131-6openalex-snapshot
On Jacobi and Jacobi-Like Algorithms for a Parallel Computer
inferredcites →https://doi.org/10.1109/12.24289openalex-snapshot
A proof of convergence for two parallel Jacobi SVD algorithms
inferredcites →https://doi.org/10.1109/mc.1982.1653828openalex-snapshot
Highly concurrent computing structures for matrix arithmetic and signal processing
inferredcites →https://doi.org/10.1109/t-c.1971.223205openalex-snapshot
Parallel Processing with the Perfect Shuffle
inferredcites →https://doi.org/10.1109/t-c.1975.224157openalex-snapshot
Access and Alignment of Data in an Array Processor
inferredcites →https://doi.org/10.1109/tc.1968.229159openalex-snapshot
ILLIAC IV Software and Application Programming
inferredcites →https://doi.org/10.1109/tc.1973.5009160openalex-snapshot
A Fast Poisson Solver Amenable to Parallel Computation
inferredcites →https://doi.org/10.1109/tc.1977.1674729openalex-snapshot
On the Paging Performance of Array Algorithms
inferredcites →https://doi.org/10.1109/tc.1984.1676393openalex-snapshot
On the Impact of Communication Complexity on the Design of Parallel Numerical Algorithms
inferredcites →https://doi.org/10.1109/tc.1985.1676570openalex-snapshot
Analysis of Pairwise Pivoting in Gaussian Elimination
inferredcites →https://doi.org/10.1109/tc.1987.1676879openalex-snapshot
On the Schur Decomposition of a Matrix for Parallel Computation
inferredcites →https://doi.org/10.1109/tse.1987.233477openalex-snapshot
A Scheme to Enforce Data Dependence on Large Multiprocessor Systems
inferredcites →https://doi.org/10.1126/science.231.4741.967openalex-snapshot
Parallel Supercomputing Today and the Cedar Approach
inferredcites →https://doi.org/10.1137/0106005openalex-snapshot
Inversion of Matrices by Biorthogonalization and Related Results
inferredcites →https://doi.org/10.1137/0110007openalex-snapshot
A Jacobi-Like Method for the Automatic Computation of Eigenvalues and Eigenvectors of an Arbitrary Matrix
inferredcites →https://doi.org/10.1137/0607038openalex-snapshot
A Parallel Block Iterative Scheme Applied to Computations in Structural Analysis
inferredcites →https://doi.org/10.1137/0707049openalex-snapshot
On Direct Methods for Solving Poisson’s Equations
inferredcites →https://doi.org/10.1137/0710024openalex-snapshot
An Algorithm for Generalized Matrix Eigenvalue Problems
inferredcites →https://doi.org/10.1137/0711086openalex-snapshot
A direct Method for the Discrete Solution of Separable Elliptic Equations
inferredcites →https://doi.org/10.1137/0713042openalex-snapshot
Some Aspects of the Cyclic Reduction Algorithm for Block Tridiagonal Linear Systems
inferredcites →https://doi.org/10.1137/0714043openalex-snapshot
The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
inferredcites →https://doi.org/10.1137/0714048openalex-snapshot
A Cyclic Reduction Algorithm for Solving Block Tridiagonal Systems of Arbitrary Dimension
inferredcites →https://doi.org/10.1137/0714076openalex-snapshot
Solving Triangular Systems on a Parallel Computer
inferredcites →https://doi.org/10.1137/0725014openalex-snapshot
Block Reflectors: Theory and Computation
inferredcites →https://doi.org/10.1137/0905007openalex-snapshot
Numerically Stable Solution of Dense Systems of Linear Equations Using Mesh-Connected Processors
inferredcites →https://doi.org/10.1137/0906007openalex-snapshot
The Solution of Singular-Value and Symmetric Eigenvalue Problems on Multiprocessor Arrays
inferredcites →https://doi.org/10.1137/0906058openalex-snapshot
A Jacobi-Like Algorithm for Computing the Schur Decomposition of a Nonhermitian Matrix
inferredcites →https://doi.org/10.1137/0907023openalex-snapshot
Implementing Dense Linear Algebra Algorithms Using Multitasking on the CRAY X-MP-4 (or Approaching the Gigaflop)
inferredcites →https://doi.org/10.1137/0907030openalex-snapshot
A Rotation Method for Computing the QR-Decomposition
inferredcites →https://doi.org/10.1137/0908009openalex-snapshot
The WY Representation for Products of Householder Matrices
inferredcites →https://doi.org/10.1137/0908018openalex-snapshot
A Fully Parallel Algorithm for the Symmetric Eigenvalue Problem
inferredcites →https://doi.org/10.1137/0908023openalex-snapshot
Hypercube Algorithms and Implementations
inferredcites →https://doi.org/10.1137/0908040openalex-snapshot
Solving Tridiagonal Systems on Ensemble Architectures
inferredcites →https://doi.org/10.1137/0908086openalex-snapshot
The Use of BLAS3 in Linear Algebra on a Parallel Processor with a Hierarchical Memory
inferredcites →https://doi.org/10.1137/0909032openalex-snapshot
A Parallel Triangular Solver for a Distributed-Memory Multiprocessor
inferredcites →https://doi.org/10.1137/0909037openalex-snapshot
Parallel Solution of Triangular Systems on Distributed-Memory Multiprocessors
inferredcites →https://doi.org/10.1137/0909038openalex-snapshot
Modified Cyclic Algorithms for Solving Triangular Systems on Distributed-Memory Multiprocessors
inferredcites →https://doi.org/10.1137/0909039openalex-snapshot
Optimizing Givens’ Algorithm for Multiprocessors
inferredcites →https://doi.org/10.1137/0909040openalex-snapshot
Extra High Speed Matrix Multiplication on the Cray-2
inferredcites →https://doi.org/10.1137/0909042openalex-snapshot
$LU$ Factorization Algorithms on Distributed-Memory Multiprocessor Architectures
inferredcites →https://doi.org/10.1137/0909050openalex-snapshot
A Parallel and Vector Variant of the Cyclic Reduction Algorithm
inferredcites →https://doi.org/10.1137/0910003openalex-snapshot
Vectorization of Linear Recurrence Relations
inferredcites →https://doi.org/10.1137/0910005openalex-snapshot
A Storage-Efficient $WY$ Representation for Products of Householder Transformations
inferredcites →https://doi.org/10.1137/0910015openalex-snapshot
Bisection is not Optimal on Vector Processors
inferredcites →https://doi.org/10.1137/0912005openalex-snapshot
Recursive Least Squares on a Hypercube Multiprocessor Using the Covariance Factorization
inferredcites →https://doi.org/10.1137/1013094openalex-snapshot
A Survey of Parallelism in Numerical Analysis
inferredcites →https://doi.org/10.1137/1019071openalex-snapshot
The Methods of Cyclic Reduction, Fourier Analysis and the FACR Algorithm for the Discrete Solution of Poisson’s Equation on a Rectangle
inferredcites →https://doi.org/10.1137/1020006openalex-snapshot
Inverses of Toeplitz Operators, Innovations, and Orthogonal Polynomials
inferredcites →https://doi.org/10.1137/1020096openalex-snapshot
A Survey of Parallel Algorithms in Numerical Linear Algebra
inferredcites →https://doi.org/10.1137/1026003openalex-snapshot
Implementing Linear Algebra Algorithms for Dense Matrices on a Vector Pipeline Machine
inferredcites →https://doi.org/10.1137/1027055openalex-snapshot
Solution of Partial Differential Equations on Vector and Parallel Computers
inferredcites →https://doi.org/10.1142/s0129053389000068openalex-snapshot
ON A BLOCK IMPLEMENTATION OF HESSENBERG MULTISHIFT QR ITERATION
inferredcites →https://doi.org/10.1142/s012905338900007xopenalex-snapshot
SOME FAST ELLIPTIC SOLVERS ON PARALLEL ARCHITECTURES AND THEIR COMPLEXITIES
inferredcites →https://doi.org/10.1145/1271.319413openalex-snapshot
Squeezing the most out of an algorithm in CRAY FORTRAN
inferredcites →https://doi.org/10.1145/214408.214418openalex-snapshot
Solving narrow banded systems on ensemble architectures
inferredcites →https://doi.org/10.1145/321250.321259openalex-snapshot
A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
inferredcites →https://doi.org/10.1145/321450.321457openalex-snapshot
An Adaptation of the Fast Fourier Transform for Parallel Processing
inferredcites →https://doi.org/10.1145/322047.322054openalex-snapshot
On Stable Parallel Linear System Solvers
inferredcites →https://doi.org/10.1145/355791.355797openalex-snapshot
Practical Parallel Band Triangular System Solvers
inferredcites →https://doi.org/10.1145/355841.355847openalex-snapshot
Basic Linear Algebra Subprograms for Fortran Usage
inferredcites →https://doi.org/10.1145/355841.355850openalex-snapshot
Algorithm 541: Efficient Fortran Subprograms for the Solution of Separable Elliptic Partial Differential Equations [D3]
inferredcites →https://doi.org/10.1145/355921.355925openalex-snapshot
Computing the Singular-Value Decomposition on the ILLIAC IV
inferredcites →https://doi.org/10.1145/355945.355947openalex-snapshot
A Parallel Method for Tridiagonal Equations
inferredcites →https://doi.org/10.1145/355972.355980openalex-snapshot
Solving Large Full Sets of Linear Equations in a Paged Virtual Store
inferredcites →https://doi.org/10.1145/355984.355990openalex-snapshot
An Improved Algorithm for Computing the Singular Value Decomposition
inferredcites →https://doi.org/10.1145/360569.360653openalex-snapshot
On the stability of Gauss-Jordan elimination with pivoting
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Organizing matrices and matrix operations for paged memory systems
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The computation and communication complexity of a parallel banded system solver
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Cholesky downdating on a hypercube
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Engineering and Scientific Subroutine Library for the IBM 3090 Vector Facility
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Programming style on the IBM 3090 Vector Facility considering both performance and flexibility
inferredcites →https://doi.org/10.1177/109434208800200103openalex-snapshot
Impact of Hierarchical Memory Systems On Linear Algebra Algorithm Design
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Multiprocessor Schemes for Solving Block Tridiagonal Linear Systems
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The Characteristics of Parallel Algorithms.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Parallel Numerical Algorithms and Software
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LAPACK: A portable linear algebra library for high‐performance computers
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Restructuring Fortran programs for Cedar
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Portable Parallel implementation of BLAS 3
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Stability of block LU factorization
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A scalable parallel factorization of finite element matrices with distributed Schur complements
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Preconditioned Krylov solvers for BEA
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Projective Block Lanczos Algorithm for Dense, Hermitian Eigensystems
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A New and Faster Gaussian Elimination Based Fault Tolerant Systolic Linear System Solver
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A Columnwise Block Striping in Neville Elimination
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Block-Striped Partitioning and Neville Elimination
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A block algorithm for orthogonalization in elliptic norms
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Parallel sparse Cholesky factorization
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Eigenvalue and Singular-Value Problems
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Linear Least Squares and Orthogonal Factorization
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Recursive Algorithms for Adaptive Array Systems
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Parallel Numerical Computing from Illiac IV to Exascale—The Contributions of Ahmed H. Sameh
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Scalable Parallel Algorithms for Sparse Linear Systems
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Matrix Multiplication on Digital Signal Processors and Hierarchical Memory Systems
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Parallel Solutions of Linear Equations by Overlapping Epsilon Decompositions
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Asymptotical Behaviour of the Communication Complexity of One Parallel Algorithm
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Communication-Efficient Parallel Gaussian Elimination
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Fundamental Linear Algebra Computations on High-Performance Computers
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“Grand Challenges” - wie weit tragen die Antworten des Supercomputing?
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Computational Challenges in Mechanical Systems Simulation
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Trading off Parallelism and Numerical Stability
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Blocking Neville elimination algorithm for exploiting cache memories
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Hybrid Ikebe–Newton’s iteration for inverting general nonsingular Hessenberg matrices
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Communication-efficient parallel generic pairwise elimination
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Dedication to Robert J. Plemmons
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