V
Vance Faber
Researcher at Los Alamos National Laboratory
Publications - 49
Citations - 1075
Vance Faber is an academic researcher from Los Alamos National Laboratory. The author has contributed to research in topics: Cayley graph & Vertex (geometry). The author has an hindex of 15, co-authored 49 publications receiving 1037 citations.
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Necessary and Sufficient Conditions for the Existence of a Conjugate Gradient Method
Vance Faber,Thomas A. Manteuffel +1 more
TL;DR: In this paper, the authors characterize the class of Hermitian matrices for which the linear system can be solved by an s-term conjugate gradient method, and they show that, except for a few anomalies, the class consists of matrices A for which conjugation methods are already known.
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An Upper Bound on the Diameter of a Graph from Eigenvalues Associated with its Laplacian
TL;DR: The authors give a new upper bound for the diameter $D(G)$ of a graph $G$ in terms of the eigenvalue of the Laplacian of $G$, where $\lfloor \rfloor$ is the floor function.
Posted Content
Algebraic constructions of efficient broadcast networks
TL;DR: Cayley graph techniques are introduced for the problem of constructing networks having the maximum possible number of nodes, among networks that satisfy prescribed bounds on the parameters maximum node degree and broadcast diameter.
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On the theory of equivalent operators and application to the numerical solution of uniformly elliptic partial differential equations
TL;DR: In this article, the theory of equivalent operators on Hubert spaces was developed for uniformly elliptic operators and applied to finite element and finite difference discretizations, and the strong and weak forms were considered.
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The degree-diameter problem for several varieties of Cayley graphs, I: the Abelian case
Randall L. Dougherty,Vance Faber +1 more
TL;DR: The graphs obtained here are substantially better than traditional toroidal meshes, but, in the simpler undirected cases, retain certain desirable features such as good routing algorithms, easy constructibility, and the ability to host mesh-connected numerical algorithms without any increase in communication times.