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Gaussian elimination
Known as:
Gauss elimination
, Gauss–Jordan elimination
, Gauss elimination method
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In linear algebra, Gaussian elimination (also known as row reduction) is an algorithm for solving systems of linear equations. It is usually…
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Related topics
Related topics
50 relations
Analytical Engine
Array data structure
Bareiss algorithm
Berlekamp–Welch algorithm
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2006
2006
On a Rigid Body Subject to Point-Plane Constraints
C. Wampler
2006
Corpus ID: 16193070
This paper investigates the location of a rigid body such that N specified points of the body lie on N given planes in space…
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Highly Cited
2000
Highly Cited
2000
Auxiliary particle filters for tracking a maneuvering target
R. Karlsson
,
N. Bergman
Proceedings of the 39th IEEE Conference on…
2000
Corpus ID: 124786127
We consider the recursive state estimation of a highly maneuverable target. We apply optimal recursive Bayesian filters directly…
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1997
1997
Gauss-elimination-based generation of multiple seed-polynomial pairs for LFSR
L. Huang
,
Jing-Yang Jou
,
S. Kuo
IEEE Trans. Comput. Aided Des. Integr. Circuits…
1997
Corpus ID: 20225671
This paper presents a new and efficient strategy of pseudorandom pattern generation (PRPG) for IC testing. It uses a general…
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Highly Cited
1994
Highly Cited
1994
Pulsewidth modulation based on real-time solution of algebraic harmonic elimination equations
J. Sun
,
I. Grotstollen
Proceedings of IECON'94 - 20th Annual Conference…
1994
Corpus ID: 18580602
Determination of pulse patterns for the elimination of some low-order harmonics of a PWM inverter necessitates solution of a…
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1993
1993
Design of Reduced-Order, H2 Optimal Controllers Using a Homotopy Algorithm
E. Collins
,
L. Davis
,
S. Richter
American Control Conference
1993
Corpus ID: 24177438
The minimal dimension of a linear-quadratic-gaussian (LQG) compensator is usually equal to the dimension of the design plant…
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1991
1991
Frontal algorithms for equation-based chemical process flowsheeting on vector and parallel computers
S. Zitney
1991
Corpus ID: 56838256
Highly Cited
1976
Highly Cited
1976
Backward error analysis for totally positive linear systems
C. Boor
,
A. Pinkus
1976
Corpus ID: 15777712
SummaryGauss elimination applied to ann×n matrixA in floating point arithmetic produces (if successful) a factorization $$\hat L…
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Highly Cited
1974
Highly Cited
1974
Direct solution of large systems of linear equations
E. Wilson
,
K. Bathe
,
William P. Doherty
1974
Corpus ID: 62162213
Review
1970
Review
1970
Sparsity-Directed Decomposition for Gaussian Elimination on Matrices
E. C. Ogbuobiri
,
W. Tinney
,
Senior Member
,
John W. Walker
1970
Corpus ID: 16450785
This is a concise critical survey of the theory and practice relating to the ordered Gaussian elimination on sparse systems. A…
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Highly Cited
1970
Highly Cited
1970
Symbolic Generation of an Optimal Crout Algorithm for Sparse Systems of Linear Equations
F. Gustavson
,
W. Liniger
,
R. Willoughby
JACM
1970
Corpus ID: 8458097
An efficient implementation of the Crout elimination method in solving large sparse systems of linear algebraic equations of…
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