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On the Complexity of Sparse $QR$ and $LU$ Factorization of Finite-Element Matrices

https://doi.org/10.1137/0909057
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Solution of sparse linear least squares problems using givens rotations
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A Separator Theorem for Planar Graphs
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Nested Dissection of a Regular Finite Element Mesh
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An Automatic Nested Dissection Algorithm for Irregular Finite Element Problems
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On Row and Column Orderings for Sparse Least Squares Problems
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Symbolic Factorization for Sparse Gaussian Elimination with Partial Pivoting
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A Data Structure for Sparse $QR$ and $LU$ Factorizations
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Modification of the minimum-degree algorithm by multiple elimination
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Predicting fill for sparse orthogonal factorization
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Computer Solution of Large Sparse Positive Definite Systems.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Nested-Dissection Orderings for Sparse LU with Partial Pivoting
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