On the public citation graph
Solving Tridiagonal Systems on Ensemble Architectures
0 signed · 154 inferred · view as graph
Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.
Is this your work? Sign in with ORCID and put your name on the
claims that are yours.
Reference health. See whether every reference in this work resolves to a
known work and none has been retracted — and get a dated CiteStamped
badge you can embed.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/nme.1620020104openalex-snapshot
A frontal solution program for finite element analysis
inferredcites →https://doi.org/10.1007/978-3-642-68402-9_14openalex-snapshot
Minimum Edge Length Planar Embeddings of Trees
inferredcites →https://doi.org/10.1007/bf01776564openalex-snapshot
Bounds on the costs of data encodings
inferredcites →https://doi.org/10.1016/0010-4655(85)90153-5openalex-snapshot
Cyclic reduction on a binary tree
inferredcites →https://doi.org/10.1016/0020-0190(80)90034-4openalex-snapshot
On the area of binary tree layouts
inferredcites →https://doi.org/10.1016/0022-0000(84)90071-0openalex-snapshot
A framework for solving VLSI graph layout problems
inferredcites →https://doi.org/10.1016/b978-0-12-100560-3.50017-2openalex-snapshot
AN INCOMPLETE-CHOLESKY FACTORIZATION BY A MATRIX PARTITION ALGORITHM
inferredcites →https://doi.org/10.1016/b978-0-12-141050-6.50010-6openalex-snapshot
Applications of an Element Model for Gaussian Elimination11This work was supported in part by NSF Grant GJ-43157 and ONR Grant N00014-67-A-0097-0016.
inferredcites →https://doi.org/10.1016/b978-0-12-592101-5.50008-7openalex-snapshot
Solution of Single Tridiagonal Linear Systems and Vectorization of the ICCG Algorithm on the Cray-1
inferredcites →https://doi.org/10.1016/b978-1-4832-3187-7.50018-0openalex-snapshot
A GRAPH-THEORETIC STUDY OF THE NUMERICAL SOLUTION OF SPARSE POSITIVE DEFINITE SYSTEMS OF LINEAR EQUATIONS
inferredcites →https://doi.org/10.1109/proc.1966.5273openalex-snapshot
Very high-speed computing systems
inferredcites →https://doi.org/10.1109/t-c.1971.223205openalex-snapshot
Parallel Processing with the Perfect Shuffle
inferredcites →https://doi.org/10.1109/tc.1983.1676201openalex-snapshot
The NYU Ultracomputer—Designing an MIMD Shared Memory Parallel Computer
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.1984.1676396openalex-snapshot
Concurrent VLSI Architectures
inferredcites →https://doi.org/10.1137/0707049openalex-snapshot
On Direct Methods for Solving Poisson’s Equations
inferredcites →https://doi.org/10.1137/0710032openalex-snapshot
Nested Dissection of a Regular Finite Element Mesh
inferredcites →https://doi.org/10.1137/0713042openalex-snapshot
Some Aspects of the Cyclic Reduction Algorithm for Block Tridiagonal Linear Systems
inferredcites →https://doi.org/10.1137/0715021openalex-snapshot
Algorithms for Matrix Partitioning and the Numerical Solution of Finite Element Systems
inferredcites →https://doi.org/10.1137/0908060openalex-snapshot
Alternating Direction Methods on Multiprocessors
inferredcites →https://doi.org/10.1137/1003021openalex-snapshot
The Use of Linear Graphs in Gauss Elimination
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/10.1145/321978.321983openalex-snapshot
Accelerated Iterative Methods for the Solution of Tridiagonal Systems on Parallel Computers
inferredcites →https://doi.org/10.1145/322047.322054openalex-snapshot
On Stable Parallel Linear System Solvers
inferredcites →https://doi.org/10.1145/322047.322057openalex-snapshot
Some Complexity Results for Matrix Computations on Parallel Processors
inferredcites →https://doi.org/10.1145/355945.355947openalex-snapshot
A Parallel Method for Tridiagonal Equations
inferredcites →https://doi.org/10.1145/399.401openalex-snapshot
The computation and communication complexity of a parallel banded system solver
inferredcites →https://doi.org/10.1145/800133.804339openalex-snapshot
Parallelism in random access machines
inferredcites →https://doi.org/10.2307/2007640openalex-snapshot
Computer Solution of Large Sparse Positive Definite Systems.
inferredcites →https://doi.org/10.2307/2987917openalex-snapshot
Combinatorial Algorithms: Theory and Practice.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/nme.1620270307openalex-snapshot
Experience with the conjugate gradient method for stress analysis on a data parallel supercomputer
inferred← citeshttps://doi.org/10.1006/jpdc.1994.1150openalex-snapshot
Implementing the 3D Alternating Direction Method on the Hypercube
inferred← citeshttps://doi.org/10.1006/jpdc.1999.1568openalex-snapshot
Parallelization of Pipelined Algorithms for Sets of Linear Banded Systems
inferred← citeshttps://doi.org/10.1007/0-306-47015-2_43openalex-snapshot
A Parallel Direct 3D Elliptic Solver
inferred← citeshttps://doi.org/10.1007/3-540-49164-3_3openalex-snapshot
Optimal Tridiagonal Solvers on Mesh Interconnection Networks
inferred← citeshttps://doi.org/10.1007/3-540-53065-7_92openalex-snapshot
Divide and conquer: A new parallel algorithm for the solution of a tridiagonal linear system of equations
inferred← citeshttps://doi.org/10.1007/3-540-59042-0_71openalex-snapshot
Generalized scans and tri-diagonal systems
inferred← citeshttps://doi.org/10.1007/3-540-61695-0_25openalex-snapshot
A partition method for solving block pentadiagonal linear system on intel hypercube iPSC/860
inferred← citeshttps://doi.org/10.1007/978-1-4684-6357-6_8openalex-snapshot
Ensemble Architectures and their Algorithms: An Overview
inferred← citeshttps://doi.org/10.1007/978-1-4899-2112-3_2openalex-snapshot
Direct Methods for Linear Equations
inferred← citeshttps://doi.org/10.1007/978-3-322-83922-0openalex-snapshot
Lösung linearer Gleichungssysteme auf Parallelrechnern
inferred← citeshttps://doi.org/10.1007/978-3-642-58066-6_3openalex-snapshot
Spanning Trees and Communication Primitives on Hypercubes
inferred← citeshttps://doi.org/10.1007/bf01385791openalex-snapshot
On the parallel solution of tridiagonal systems by wrap-around partitioning and incomplete LU factorization
inferred← citeshttps://doi.org/10.1007/bf02239008openalex-snapshot
On parallel methods for boundary value ODEs
inferred← citeshttps://doi.org/10.1007/bfb0002802openalex-snapshot
Optimal parallel algorithms for solving tridiagonal linear systems
inferred← citeshttps://doi.org/10.1016/0021-9991(92)90380-hopenalex-snapshot
Communication efficient multi-processor FFT
inferred← citeshttps://doi.org/10.1016/0024-3795(92)90034-8openalex-snapshot
Parallel factorizations and parallel solvers for tridiagonal linear systems
inferred← citeshttps://doi.org/10.1016/0024-3795(95)00694-xopenalex-snapshot
Tridiagonal splittings in the conditioning and parallel solution of banded linear systems
inferred← citeshttps://doi.org/10.1016/0031-3203(92)90027-gopenalex-snapshot
A randomized parallel algorithm for string matching on hypercube
inferred← citeshttps://doi.org/10.1016/0096-3003(94)90082-5openalex-snapshot
Convergence analysis for a parallel Jacobi algorithm
inferred← citeshttps://doi.org/10.1016/0167-8191(87)90020-2openalex-snapshot
Solving banded systems on a parallel processor
inferred← citeshttps://doi.org/10.1016/0167-8191(90)90034-7openalex-snapshot
The symmetric tridiagonal eigenvalue problem on a transputer network
inferred← citeshttps://doi.org/10.1016/0167-8191(90)90042-8openalex-snapshot
A cost-optimal parallel tridiagonal system solver
inferred← citeshttps://doi.org/10.1016/0167-8191(90)90094-popenalex-snapshot
Parallelization and vectorization aspects of the solution of tridiagonal linear systems
inferred← citeshttps://doi.org/10.1016/0167-8191(92)90133-ropenalex-snapshot
The effect of multiprocessor radius on scaling
inferred← citeshttps://doi.org/10.1016/0167-8191(93)90031-fopenalex-snapshot
A parallel version of the cyclic reduction algorithm on a hypercube
inferred← citeshttps://doi.org/10.1016/0167-8191(93)90037-lopenalex-snapshot
Divide and conquer methods for block tridiagonal systems
inferred← citeshttps://doi.org/10.1016/0167-8191(93)90075-vopenalex-snapshot
Algorithms for LU decomposition on a shared memory multiprocessor
inferred← citeshttps://doi.org/10.1016/0167-8191(95)00011-copenalex-snapshot
The parallel QR factorization algorithm for tridiagonal linear systems
inferred← citeshttps://doi.org/10.1016/0167-8655(95)00022-9openalex-snapshot
Finding shape numbers in parallel
inferred← citeshttps://doi.org/10.1016/0377-0427(89)90362-2openalex-snapshot
A recursive doubling algorithm for solution of tridiagonal systems on hypercube multiprocessors
inferred← citeshttps://doi.org/10.1016/0377-0427(89)90369-5openalex-snapshot
Vector and parallel methods for the direct solution of Poisson's equation
inferred← citeshttps://doi.org/10.1016/0743-7315(91)90002-qopenalex-snapshot
Performance modeling of distributed memory architectures
inferred← citeshttps://doi.org/10.1016/0743-7315(92)90066-vopenalex-snapshot
Parallel structured networks for solving a wide variety of matrix algebra problems
inferred← citeshttps://doi.org/10.1016/0898-1221(93)90109-9openalex-snapshot
Optimized cyclic reduction for the solution of linear tridiagonal systems on parallel computers
inferred← citeshttps://doi.org/10.1016/0898-1221(93)90135-iopenalex-snapshot
Solving the symmetric tridiagonal eigenvalue problem on hypercubes
inferred← citeshttps://doi.org/10.1016/1049-9652(91)90010-hopenalex-snapshot
A cost-optimal parallel algorithm for B-spline surface fitting
inferred← citeshttps://doi.org/10.1016/b978-0-444-81784-6.50096-8openalex-snapshot
2D DIRECT NUMERICAL SIMULATION OF TURBULENT COMBUSTION ON MASSIVELY PARALLEL PROCESSING PLATFORMS
inferred← citeshttps://doi.org/10.1016/b978-0-444-88621-7.50010-4openalex-snapshot
A recursive doubling algorithm for solution of tridiagonal systems on hypercube multiprocessors* *Technical Report No. TRCS88–1, Department of Computer Science, University of California, Santa Barbara, January 1988. This article was presented at the Third SIAM Conference on Parallel Processing for…
inferred← citeshttps://doi.org/10.1016/b978-0-444-88621-7.50017-7openalex-snapshot
Vector and parallel methods for the direct solution of Poisson's equation
inferred← citeshttps://doi.org/10.1016/b978-044481999-4/50167-5openalex-snapshot
Parallelization via domain decomposition techniques of multigrid and adi solvers for navier-stokes equations
inferred← citeshttps://doi.org/10.1016/j.amc.2009.08.052openalex-snapshot
On optimal message vector length for block single parallel partition algorithm in a three-dimensional ADI solver
inferred← citeshttps://doi.org/10.1016/j.chaos.2005.10.033openalex-snapshot
A parallel implementation of Wang’s method for solving tridiagonal systems
inferred← citeshttps://doi.org/10.1016/j.cpc.2023.108713openalex-snapshot
The N-shaped partition method: A novel parallel implementation of the Crank Nicolson algorithm
inferred← citeshttps://doi.org/10.1016/j.jcp.2010.11.046openalex-snapshot
High-performance modeling acoustic and elastic waves using the parallel Dichotomy Algorithm
inferred← citeshttps://doi.org/10.1016/j.jcp.2020.109795openalex-snapshot
Application of the parallel diagonal dominant algorithm for the incompressible Navier-Stokes equations
inferred← citeshttps://doi.org/10.1016/j.jpdc.2015.10.004openalex-snapshot
A highly scalable parallel algorithm for solving Toeplitz tridiagonal systems of linear equations
inferred← citeshttps://doi.org/10.1016/j.parco.2005.01.002openalex-snapshot
A class of novel parallel algorithms for the solution of tridiagonal systems
inferred← citeshttps://doi.org/10.1016/j.parco.2008.02.001openalex-snapshot
Parallel solution of large symmetric tridiagonal linear systems
inferred← citeshttps://doi.org/10.1016/j.parco.2010.02.005openalex-snapshot
Parallel Dichotomy Algorithm for solving tridiagonal system of linear equations with multiple right-hand sides
inferred← citeshttps://doi.org/10.1016/s0167-8191(01)00075-8openalex-snapshot
A unifying graph model for designing parallel algorithms for tridiagonal systems
inferred← citeshttps://doi.org/10.1016/s0167-8191(05)80145-0openalex-snapshot
Divide and conquer: a parallel algorithm for the solution of a tridiagonal linear system of equations
inferred← citeshttps://doi.org/10.1016/s0167-8191(97)00022-7openalex-snapshot
Unified framework for the parallelization of divide and conquer based tridiagonal systems
inferred← citeshttps://doi.org/10.1016/s0167-8191(99)00042-3openalex-snapshot
Interoperability parallel programs approach to simulate 3D frontal polymerization processes
inferred← citeshttps://doi.org/10.1016/s0304-3975(99)00311-4openalex-snapshot
Generalized scans and tridiagonal systems
inferred← citeshttps://doi.org/10.1016/s0895-7177(00)00140-0openalex-snapshot
Modelling and analysis of communication overhead for parallel matrix algorithms
inferred← citeshttps://doi.org/10.1016/s1570-8659(00)07002-2openalex-snapshot
Gaussian elimination for the solution of linear systems of equations
inferred← citeshttps://doi.org/10.1023/a:1023237317673openalex-snapshot
Numerical Solutions of a Nonlinear Evolution System with Small Dissipation on Parallel Processors
inferred← citeshttps://doi.org/10.1023/b:supe.0000040615.60545.c6openalex-snapshot
Optimal and Efficient Parallel Tridiagonal Solvers Using Direct Methods
inferred← citeshttps://doi.org/10.1080/00207160210941openalex-snapshot
A Parallel Elimination Method for "Periodic" Tridiagonal Systems
inferred← citeshttps://doi.org/10.1080/00207169508804446openalex-snapshot
Parallel elimination in partitioned tridiagonal systems
inferred← citeshttps://doi.org/10.1080/00207169808804631openalex-snapshot
Parallel discrete invariant embedding algorithm for singular pertubation problems
inferred← citeshttps://doi.org/10.1080/10407790.2011.550527openalex-snapshot
Enhancing the Performance of a Parallel Solver for Turbulent Reacting Flow Simulations
inferred← citeshttps://doi.org/10.1080/10407799208944910openalex-snapshot
LARGE-EDDY SIMULATIONS OF TURBULENCE ON THE CM-2
inferred← citeshttps://doi.org/10.1080/10637199508915509openalex-snapshot
THE PARALLEL SOLUTION OF TRIDIAGONAL AND BLOCK TRIDIAGONAL SYSTEMS OF EQUATIONS BY A SCHUR COMPLEMENT METHOD
inferred← citeshttps://doi.org/10.1090/s0025-5718-1994-1208836-xopenalex-snapshot
Backward Error Analysis of Cyclic Reduction for the Solution of Tridiagonal Systems
inferred← citeshttps://doi.org/10.1109/12.106219openalex-snapshot
Three-dimensional structured networks for matrix equation solving
inferred← citeshttps://doi.org/10.1109/12.127441openalex-snapshot
Efficient tridiagonal solvers on multicomputers
inferred← citeshttps://doi.org/10.1109/12.29465openalex-snapshot
Optimum broadcasting and personalized communication in hypercubes
inferred← citeshttps://doi.org/10.1109/12.338101openalex-snapshot
Unified architecture for divide and conquer based tridiagonal system solvers
inferred← citeshttps://doi.org/10.1109/apdc.1997.574022openalex-snapshot
Parallel recursive algorithm for tridiagonal systems
inferred← citeshttps://doi.org/10.1109/arrays.1988.18056openalex-snapshot
Systolic FFT algorithms on Boolean cube networks
inferred← citeshttps://doi.org/10.1109/dmcc.1991.633319openalex-snapshot
A Structured Representation for Parallel Algorithm Design on Multicomputers
inferred← citeshttps://doi.org/10.1109/empdp.1993.336402openalex-snapshot
A parallel algorithm to solve tridiagonal systems on distributed memory multiprocessors
inferred← citeshttps://doi.org/10.1109/hpc.2000.843505openalex-snapshot
Parallel complexity for solving tridiagonal linear systems with multiple right-hand sides on 2-D torus interconnection networks
inferred← citeshttps://doi.org/10.1109/icppw.2002.1039748openalex-snapshot
Parallel Cholesky factorization of a block tridiagonal matrix
inferred← citeshttps://doi.org/10.1109/ipps.1993.262888openalex-snapshot
Mapping onto three classes of parallel machines: a case study using the cyclic reduction algorithm
inferred← citeshttps://doi.org/10.1109/ipps.1995.395969openalex-snapshot
Minimizing communication overhead for matrix inversion algorithms on hypercubes
inferred← citeshttps://doi.org/10.1109/nnsp.1991.239533openalex-snapshot
Three-dimensional structured networks for matrix equation solving
inferred← citeshttps://doi.org/10.1109/spdp.1991.218237openalex-snapshot
A divide-and-conquer method of solving tridiagonal systems on hypercube massively parallel computers
inferred← citeshttps://doi.org/10.1137/0609037openalex-snapshot
Algorithms for Matrix Transposition on Boolean N -Cube Configured Ensemble Architectures
inferred← citeshttps://doi.org/10.1137/0613075openalex-snapshot
A Tricyclic Tridiagonal Equation Solver
inferred← citeshttps://doi.org/10.1137/0728083openalex-snapshot
Jacobi Iteration in Implicit Difference Schemes for the Wave Equation
inferred← citeshttps://doi.org/10.1137/0730041openalex-snapshot
Parallel Factorizations for Tridiagonal Matrices
inferred← citeshttps://doi.org/10.1137/0733021openalex-snapshot
Multigrid Convergence for Discretizations of Singular Perturbation Problems with Grid-Aligned Flow
inferred← citeshttps://doi.org/10.1137/0908060openalex-snapshot
Alternating Direction Methods on Multiprocessors
inferred← citeshttps://doi.org/10.1137/0910037openalex-snapshot
Approximate Schur Complement Preconditioners on Serial and Parallel Computers
inferred← citeshttps://doi.org/10.1137/0911032openalex-snapshot
Optimizing Tridiagonal Solvers for Alternating Direction Methods on Boolean Cube Multiprocessors
inferred← citeshttps://doi.org/10.1137/0911050openalex-snapshot
The Effect of Time Constraints on Scaled Speedup
inferred← citeshttps://doi.org/10.1137/0912026openalex-snapshot
Parallel Homotopy Algorithm for the Symmetric Tridiagonal Eigenvalue Problem
inferred← citeshttps://doi.org/10.1137/0912044openalex-snapshot
Parallel Algorithms for Banded Linear Systems
inferred← citeshttps://doi.org/10.1137/0913074openalex-snapshot
Semicoarsening Multigrid on a Hypercube
inferred← citeshttps://doi.org/10.1137/0913082openalex-snapshot
A Semicoarsening Multigrid Algorithm for SIMD Machines
inferred← citeshttps://doi.org/10.1137/0915030openalex-snapshot
A Comparison of Preconditioned Nonsymmetric Krylov Methods on a Large-Scale MIMD Machine
inferred← citeshttps://doi.org/10.1137/0916034openalex-snapshot
An Algorithm with Polylog Parallel Complexity for Solving Parabolic Partial Differential Equations
inferred← citeshttps://doi.org/10.1137/1.9781611971705.ch3openalex-snapshot
3. A Bibliography on Parallel and Vector Numerical Algorithms
inferred← citeshttps://doi.org/10.1137/1032002openalex-snapshot
Parallel Algorithms for Dense Linear Algebra Computations
inferred← citeshttps://doi.org/10.1137/s0895479893245498openalex-snapshot
Diagonal Dominance in the Parallel Partition Method for Tridiagonal Systems
inferred← citeshttps://doi.org/10.1137/s0895479895282623openalex-snapshot
A Fast Parallel Cholesky Decomposition Algorithm for Tridiagonal Symmetric Matrices
inferred← citeshttps://doi.org/10.1137/s0895479896314418openalex-snapshot
On the Stability of a Partitioning Algorithm for Tridiagonal Systems
inferred← citeshttps://doi.org/10.1137/s1064827596303648openalex-snapshot
Some Multigrid Algorithms for Elliptic Problems on Data Parallel Machines
inferred← citeshttps://doi.org/10.1137/s1064827598340494openalex-snapshot
Parallel Algorithms to Evaluate Orthogonal Polynomial Series
inferred← citeshttps://doi.org/10.1142/s0129053389000123openalex-snapshot
TOTALLY PARALLEL MULTILEVEL ALGORITHMS
inferred← citeshttps://doi.org/10.1145/255129.255147openalex-snapshot
Cost-optimal parallel B-spline interpolations
inferred← citeshttps://doi.org/10.1145/318789.318822openalex-snapshot
Parallel algorithms for solution of tridiagonal systems on multicomputers
inferred← citeshttps://doi.org/10.1145/63047.63112openalex-snapshot
Prefix algorithms for tridiagonal systems on hypercube multiprocessors
inferred← citeshttps://doi.org/10.1145/76263.76299openalex-snapshot
Parallel solution of pentadiagonal systems using generalized odd-even elimination
inferred← citeshttps://doi.org/10.1145/76263.76333openalex-snapshot
Parallel language constructs for tensor product computations on loosely coupled architectures
inferred← citeshttps://doi.org/10.1145/77726.255147openalex-snapshot
Cost-optimal parallel B-spline interpolations
inferred← citeshttps://doi.org/10.1155/2004/169467openalex-snapshot
Graph Transformation and Designing Parallel Sparse Matrix Algorithms beyond Data Dependence Analysis
inferred← citeshttps://doi.org/10.1287/ijoc.10.2.218openalex-snapshot
Operator-Splitting Methods for Monotone Affine Variational Inequalities, with a Parallel Application to Optimal Control
inferred← citeshttps://doi.org/10.2118/25243-msopenalex-snapshot
Multigrid Methods for Petroleum Reservoir Simulation on SIMD Machines
inferred← citeshttps://doi.org/10.21203/rs.3.rs-3200350/v1openalex-snapshot
A Low-cost and Numerically Stable Algorithm to Solve Tridiagonal Systems via Quasiseparable Matrices
inferred← citeshttps://doi.org/10.2172/6026480openalex-snapshot
Parallelizing across time when solving time-dependent partial differential equations
inferred← citeshttps://doi.org/10.2498/cit.2000.01.01openalex-snapshot
Complexity Issues on Designing Tridiagonal Solvers on 2-Dimensional Mesh Interconnection Networks
inferred← citeshttps://doi.org/10.48550/arxiv.1002.3094openalex-snapshot
High performance parallel algorithm for solving elliptic equations with non-separable variables
Editorial review for independent work. ICSAC — the Institute for Complexity
Science and Advanced Computing — runs a structured editorial panel for researchers
publishing outside journals, and publishes on CiteStamp rails. Submission is free
and goes through ORCID: icsacinstitute.org/submit.