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发表于 2025-3-21 18:08:35 | 显示全部楼层 |阅读模式
书目名称Graph Theory and Sparse Matrix Computation
编辑Alan George,John R. Gilbert,Joseph W. H. Liu
视频video
丛书名称The IMA Volumes in Mathematics and its Applications
图书封面Titlebook: ;
出版日期Conference proceedings 1993
版次1
doihttps://doi.org/10.1007/978-1-4613-8369-7
isbn_softcover978-1-4613-8371-0
isbn_ebook978-1-4613-8369-7Series ISSN 0940-6573 Series E-ISSN 2198-3224
issn_series 0940-6573
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发表于 2025-3-22 00:06:17 | 显示全部楼层
Irreducibility and Primitivity of Perron Complements: Application of the Compressed Directed Graph,The . is a smaller matrix derived in a natural way from a square nonnegative matrix. By compressing the directed graph of a nonnegative matrix in a certain way, we analyze fully the connected components, irreducibility and primitivity of its Perron complement with respect to a given subset of indices.
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发表于 2025-3-22 08:22:07 | 显示全部楼层
https://doi.org/10.1057/9781137047809erization of the structure in terms of paths in the graph of the matrix and/or its triangular factors. Three path-preserving transformations — quotient graphs, edge pruning, and monotone transitive reduction — are used to further reduce the size/cost.
发表于 2025-3-22 10:47:22 | 显示全部楼层
发表于 2025-3-22 13:07:31 | 显示全部楼层
Structural Representations of Schur Complements in Sparse Matrices,erization of the structure in terms of paths in the graph of the matrix and/or its triangular factors. Three path-preserving transformations — quotient graphs, edge pruning, and monotone transitive reduction — are used to further reduce the size/cost.
发表于 2025-3-22 18:16:31 | 显示全部楼层
Graph Theory and Sparse Matrix Computation978-1-4613-8369-7Series ISSN 0940-6573 Series E-ISSN 2198-3224
发表于 2025-3-22 23:16:25 | 显示全部楼层
An Introduction to Chordal Graphs and Clique Trees, associated with advanced computer architectures. This paper is a unified and elementary introduction to the standard characterizations of chordal graphs and clique trees. The pace is leisurely, as detailed proofs of all results are included. We also briefly discuss applications of chordal graphs an
发表于 2025-3-23 02:42:22 | 显示全部楼层
Cutting down on Fill Using Nested Dissection: Provably Good Elimination Orderings,s aim to find elimination orderings with either low fill, low operation count, or low elimination height. Though many heuristics seem to perform well in practice, there has been a marked absence of much theoretical analysis to back these heuristics. Indeed, few heuristics are known to provide any gu
发表于 2025-3-23 05:37:29 | 显示全部楼层
Automatic Mesh Partitioning,s. This approach makes use of the underlying geometric structure of a given mesh and finds a provably good partition in random .(.) time. It applies to meshes in both two and three dimensions. The new method has applications in efficient sequential and parallel algorithms for large-scale problems in
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