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Minimum degree algorithm
In numerical analysis the minimum degree algorithm is an algorithm used to permute the rows and columns of a symmetric sparse matrix before applying…
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Related topics
Related topics
12 relations
Algorithm
Cholesky decomposition
Finite element method
Gaussian elimination
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Broader (1)
Numerical linear algebra
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2019
2019
A Fast Minimum Degree Algorithm and Matching Lower Bound
Robert Cummings
,
Matthew Fahrbach
,
Animesh Fatehpuria
ACM-SIAM Symposium on Discrete Algorithms
2019
Corpus ID: 198968052
The minimum degree algorithm is one of the most widely-used heuristics for reducing the cost of solving large sparse systems of…
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2018
2018
Graph Sketching against Adaptive Adversaries Applied to the Minimum Degree Algorithm
Matthew Fahrbach
,
G. Miller
,
Richard Peng
,
Saurabh Sawlani
,
Junxing Wang
,
Shen Chen Xu
IEEE Annual Symposium on Foundations of Computer…
2018
Corpus ID: 4808059
Motivated by the study of matrix elimination orderings in combinatorial scientific computing, we utilize graph sketching and…
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2016
2016
A Simple, Fast and Near Optimal Approximation Algorithm for Optimization of Un-Weighted Minimum Vertex Cover
M. Fayaz
,
S. Arshad
,
Umar Zaman
,
Akhlaque Ahmad
International Conference on Frontiers of…
2016
Corpus ID: 16588054
This paper presents a simple and efficient near optimal algorithm, named Maximum Adjacent Minimum degree Algorithm (MAMA) for…
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2012
2012
A Constrained Ordering for Solving the Equality Constrained State Estimation
G. Korres
,
T. Alexopoulos
IEEE Transactions on Power Systems
2012
Corpus ID: 37681587
This paper applies a simple constrained ordering for the solution of the equality constrained state estimation problem. By low…
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2010
2010
A note on fast approximate minimum degree orderings for symmetric matrices with some dense rows
H. Dollar
,
J. Scott
Numerical Linear Algebra with Applications
2010
Corpus ID: 14958080
Recently, a number of variants of the approximate minimum degree algorithm have been proposed that aim to efficiently order…
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2008
2008
An approximate minimum degree algorithm for matrices with dense rows
P. Amestoy
,
H. Dollar
,
J. Reid
,
J. Scott
2008
Corpus ID: 14531858
We present a modified version of the approximate minimum degree algorithm for preordering a matrix with a symmetric sparsity…
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2002
2002
Object Oriented Set Theoretic Implementation of Minimum Degree Algorithm
S. Pandit
,
S. Soman
2002
Corpus ID: 41244053
Sparse Symmetric Positive Definite (SPD)Lin- ear System Solvers (LSS) are routinely required in various Power System Analysis…
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Highly Cited
2001
Highly Cited
2001
The Computational Complexity of the Minimum Degree Algorithm
P. Heggernes
,
S. Eisenstat
,
G. Kumfert
,
A. Pothen
2001
Corpus ID: 2601222
A new and distinct variety of rose plant of the floribunda class, having strong clustering ability; vigorous upright growth; long…
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2001
2001
Algoritma derajat minimum degree algorithm melalui pendekatan reachable set dan implentasinya
Wiwin Winanto
2001
Corpus ID: 116363430
Pada penyelesaian sisteni persamaan linier Ax = b, dengan A matriks n x n, sparse simet•i dan defini/ melalui metode Cholesky…
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Highly Cited
1992
Highly Cited
1992
Towards a cost-effective ILU preconditioner with high level fill
E. D'Azevedo
,
P. Forsyth
,
Wei-Pai Tang
1992
Corpus ID: 15471548
There has been increased interest in the effect of the ordering of the unknowns on Preconditioned Conjugate Gradient (PCG…
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