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Solution of real and complex systems of linear equations
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-3-642-86940-2_2openalex-snapshot
Iterative Refinement of the Solution of a Positive Definite System of Equations
inferredcites →https://doi.org/10.1007/bf01436249openalex-snapshot
Symmetric decomposition of a positive definite matrix
inferredcites →https://doi.org/10.1007/bf02162558openalex-snapshot
Iterative refinement of the solution of a positive definite system of equations
inferredcites →https://doi.org/10.1016/0016-0032(64)90390-4openalex-snapshot
Rounding errors in algebraic processes
inferredcites →https://doi.org/10.1090/s0002-9939-1955-0069585-4openalex-snapshot
On Best Conditioned Matrices
inferredcites →https://doi.org/10.1145/367390.367406openalex-snapshot
Algorithm 16: crout with pivoting
inferredcites →https://doi.org/10.1145/368996.369009openalex-snapshot
Algorithm 135: Crout with equilibration and iteration
inferredcites →https://doi.org/10.2307/2002959openalex-snapshot
Rounding Errors in Algebraic Processes
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Multistage mixed precision iterative refinement
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A new iterative refinement with roundoff error analysis
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Prismatic versus tetrahedral elements in three‐dimensional finite element analyses of subsurface systems
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Parallel evaluation of leftmost eigenpairs of large unsymmetric matrices
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Strict optimal error and residual estimates for the solution of linear algebraic systems by elimination methods in high-accuracy arithmetic
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Solution of Symmetric and Unsymmetric Band Equations and the Calculations of Eigenvectors of Band Matrices
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Design of Fully Pipelined Dual-Mode Double Precision Reduction Circuit on FPGAs
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Analyse von Röntgenbeugungsprofilen zur Bestimmung von Mischkristallanteilen
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Iterative Coordinate Partitioning Method for Enhanced Multibody Dynamics Simulation
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Computational methods of linear algebra
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Decomposition of a symmetric matrix
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Electrodynamic forces in cylindrical foil windings
inferred← citeshttps://doi.org/10.1007/bf02162421openalex-snapshot
Solution of symmetric and unsymmetric band equations and the calculation of eigenvectors of band matrices
inferred← citeshttps://doi.org/10.1007/bf02165662openalex-snapshot
Condition, equilibration and pivoting in linear algebraic systems
inferred← citeshttps://doi.org/10.1007/bf02166032openalex-snapshot
Note on the iterative refinement of least squares solution
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Thermal mechanically coupled finite element analysis in metal-forming processes
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Use of trigonometric interpolation transform for frequency domain solution to coupled equations of dynamic equilibrium with arbitrary inputs
inferred← citeshttps://doi.org/10.1016/0375-9474(75)90006-8openalex-snapshot
On calculating scattering phase shifts by the generator coordinate method
inferred← citeshttps://doi.org/10.1016/0378-4754(85)90043-6openalex-snapshot
An efficient method for the solution of large computable general equilibrium models
inferred← citeshttps://doi.org/10.1016/b978-0-12-514250-2.50018-4openalex-snapshot
Annotated Bibliography on Generalized Inverses and Applications
inferred← citeshttps://doi.org/10.1016/j.aml.2022.108560openalex-snapshot
An exponential approach to highly ill-conditioned linear systems
inferred← citeshttps://doi.org/10.1016/s1474-6670(17)61698-7openalex-snapshot
Data Structures for Computer Aided Design of Multivariable Control Systems
inferred← citeshttps://doi.org/10.1017/cbo9780511624292openalex-snapshot
Introduction to Finite Element Vibration Analysis
inferred← citeshttps://doi.org/10.1017/cbo9780511761195openalex-snapshot
Introduction to Finite Element Vibration Analysis
inferred← citeshttps://doi.org/10.1080/17445760601122076openalex-snapshot
Performance and accuracy of hardware-oriented native-, emulated- and mixed-precision solvers in FEM simulations
inferred← citeshttps://doi.org/10.1090/s0025-5718-1970-0275643-8openalex-snapshot
Some Results on Sparse Matrices
inferred← citeshttps://doi.org/10.1093/biomet/63.2.367openalex-snapshot
On the Cramér-Wold factorization
inferred← citeshttps://doi.org/10.1109/fccm.2006.57openalex-snapshot
Pipelined Mixed Precision Algorithms on FPGAs for Fast and Accurate PDE Solvers from Low Precision Components
inferred← citeshttps://doi.org/10.1109/tc.2008.89openalex-snapshot
High-Performance Mixed-Precision Linear Solver for FPGAs
inferred← citeshttps://doi.org/10.1109/tpds.2010.61openalex-snapshot
Cyclic Reduction Tridiagonal Solvers on GPUs Applied to Mixed-Precision Multigrid
inferred← citeshttps://doi.org/10.1115/1.4037417openalex-snapshot
Iterative Refinement of Accelerations in Real-Time Vehicle Dynamics
inferred← citeshttps://doi.org/10.1137/0707039openalex-snapshot
$Ax = \lambda Bx$ and the Generalized Eigenproblem
inferred← citeshttps://doi.org/10.1145/1141885.1141894openalex-snapshot
Error bounds from extra-precise iterative refinement
inferred← citeshttps://doi.org/10.1145/1198450.1198454openalex-snapshot
State of the art in matrix computations
inferred← citeshttps://doi.org/10.1145/321386.321394openalex-snapshot
Iterative Refinement in Floating Point
inferred← citeshttps://doi.org/10.1145/321556.321565openalex-snapshot
Symbolic Generation of an Optimal Crout Algorithm for Sparse Systems of Linear Equations
inferred← citeshttps://doi.org/10.1145/355972.355980openalex-snapshot
Solving Large Full Sets of Linear Equations in a Paged Virtual Store
inferred← citeshttps://doi.org/10.1145/362375.362403openalex-snapshot
Algorithm 458: discrete linear L 1 approximation by interval linear programming
inferred← citeshttps://doi.org/10.1145/362375.362409openalex-snapshot
Algorithm 460: calculation of optimum parameters for alternating direction implicit procedures
inferred← citeshttps://doi.org/10.1145/362375.362413openalex-snapshot
Algorithm 461: cubic spline solutions to a class of functional differential equations
inferred← citeshttps://doi.org/10.1145/362375.362414openalex-snapshot
Algorithm 462: bivariate normal distribution
inferred← citeshttps://doi.org/10.1145/362375.362417openalex-snapshot
Algorithm 463: algorithms SCALE1, SCALE2, and SCALE3 for determination of scales on computer generated plots
inferred← citeshttps://doi.org/10.20868/upm.thesis.48853openalex-snapshot
Contributions to Topological Formulations for the Dynamic Simulation of Vehicles
inferred← citeshttps://doi.org/10.48550/arxiv.1112.3082openalex-snapshot
Theoretical Studies of Structure-Function Relationships in Kv Channels: Electrostatics of the Voltage Sensor
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