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System of linear equations

Known as: Homogeneous system, Linear Equation System, Vector equation 
In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same set of variables… 
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Related topics

Related topics

50 relations
Alternating direction implicit methodBasis (linear algebra)Bundle adjustmentCasio 9850 series

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2017
Highly Cited
2017
Energy and Finite Element Methods In Structural Mechanics : SI Units
The first two parts - ''Foundations of Solid Mechanics and Variational Methods'' and ''Structural Mechanics'' - develop a… 
Highly Cited
2015
Highly Cited
2015
New Algorithms for Secure Outsourcing of Large-Scale Systems of Linear Equations
With the rapid development in availability of cloud services, the techniques for securely outsourcing the prohibitively expensive… 
Highly Cited
2013
Highly Cited
2013
Harnessing the Cloud for Securely Outsourcing Large-Scale Systems of Linear Equations
Cloud computing economically enables customers with limited computational resources to outsource large-scale computations to the… 
Highly Cited
2008
Highly Cited
2008
IDR(s): A Family of Simple and Fast Algorithms for Solving Large Nonsymmetric Systems of Linear Equations
We present IDR($s$), a new family of efficient, short-recurrence methods for large nonsymmetric systems of linear equations. The… 
Highly Cited
2007
Highly Cited
2007
Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions
In this work, a class of new finite-element methods, called immersed-interface finite-element methods, is developed to solve… 
Highly Cited
2006
Highly Cited
2006
Meshfree explicit local radial basis function collocation method for diffusion problems
Highly Cited
2005
Highly Cited
2005
On generalized successive overrelaxation methods for augmented linear systems
For the augmented system of linear equations, Golub, Wu and Yuan recently studied an SOR-like method (BIT 41(2001)71–85). By… 
Highly Cited
2002
Highly Cited
2002
A weighted linear prediction method for near-field source localization
This paper proposes a low computational cost method for the near-field narrowband source localization problem, which does not… 
Highly Cited
1998
Highly Cited
1998
Numerical Linear Algebra for High-Performance Computers
From the Publisher: This book presents a unified treatment of recently developed techniques and current understanding about… 
Highly Cited
1976
Highly Cited
1976
Orthomin, an Iterative Method for Solving Sparse Sets of Simultaneous Linear Equations
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