Locally supported eigenvectors of matrices associated with connected and unweighted power-law graphs

zbMath1286.05089MaRDI QIDQ2447389

Geoffrey Sanders, Van Emden Henson

Publication date: 25 April 2014

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/ETNA/vol.39.2012/pp353-378.dir/pp353-378.html

zbMATH Keywords

eigenvalueseigenvectorssparse matricesadjacency matrixgraph Laplacian

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Small world graphs, complex networks (graph-theoretic aspects) (05C82) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Applications of graph theory to circuits and networks (94C15)

Related Items

Localization in Matrix Computations: Theory and Applications, Analysis of directed networks via partial singular value decomposition and Gauss quadrature

Uses Software

• SLEPc
• Trilinos