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Matrix functions in network analysis (Q6068264)

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scientific article; zbMATH DE number 7778849

Language	Label	Description	Also known as
English	Matrix functions in network analysis	scientific article; zbMATH DE number 7778849

Statements

scholarly article

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Matrix functions in network analysis (English)

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GAMM-Mitteilungen

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publication date

15 December 2023

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zbMATH Keywords

centrality

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communicability

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connectivity

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diffusion

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matrix functions

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networks

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numerical methods

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/gamm.202000012

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Gaussianization of the spectra of graphs and networks. Theory and applications

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NON-BACKTRACKING RANDOM WALKS MIX FASTER

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Generalized block anti-Gauss quadrature rules

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Operator-Lipschitz estimates for the singular value functional calculus

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Energy of a vertex

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Updating and Downdating Techniques for Optimizing Network Communicability

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Edge Modification Criteria for Enhancing the Communicability of Digraphs

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Computation of Generalized Matrix Functions

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Non-backtracking walk centrality for directed networks

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On the exponential generating function for non-backtracking walks

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Stable Computation of Generalized Matrix Functions via Polynomial Interpolation

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Analysis of directed networks via partial singular value decomposition and Gauss quadrature

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Risk-Dependent Centrality in Economic and Financial Networks

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Low-Rank Updates of Matrix Functions

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A note on walk entropies in graphs

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Non-local network dynamics via fractional graph Laplacians

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Quadrature rule-based bounds for functions of adjacency matrices

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Decay Properties of Spectral Projectors with Applications to Electronic Structure

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Ranking hubs and authorities using matrix functions

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Some matrix properties preserved by generalized matrix functions

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On the Limiting Behavior of Parameter-Dependent Network Centrality Measures

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Complex networks: structure and dynamics

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Network analysis. Methodological foundations.

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The walk distances in graphs

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Computing heat kernel PageRank and a local clustering algorithm

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Mapping directed networks

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Computation of the Exponential of Large Sparse Skew-Symmetric Matrices

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Computation of functions of Hamiltonian and skew-symmetric matrices

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Shareholding Networks and Centrality: An Application to the Italian Financial Market

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Community detection based on network communicability

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Path Laplacian matrices: introduction and application to the analysis of consensus in networks

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The communicability distance in graphs

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Exploring the “Middle Earth” of network spectra via a Gaussian matrix function

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Predicting Triadic Closure in Networks Using Communicability Distance Functions

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What is the meaning of the graph energy after all?

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Network bipartivity and the transportation efficiency of European passenger airlines

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Path Laplacian operators and superdiffusive processes on graphs. I: One-dimensional case

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Path Laplacian operators and superdiffusive processes on graphs. II. two-dimensional lattice

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Communicability graph and community structures in complex networks

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Communicability Angle and the Spatial Efficiency of Networks

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Network Properties Revealed through Matrix Functions

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Authority Rankings from HITS, PageRank, and SALSA: Existence, Uniqueness, and Effect of Initialization

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Network Analysis via Partial Spectral Factorization and Gauss Quadrature

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Block Gauss and Anti-Gauss Quadrature with Application to Networks

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Estimation of the bilinear form \(y^\ast f(A)x\) for Hermitian matrices

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Aitken's method for estimating bilinear forms arising in applications

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Community structure in social and biological networks

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A Matrix Iteration for Dynamic Network Summaries

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Rational Krylov approximation of matrix functions: Numerical methods and optimal pole selection

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On generalized matrix functions

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Functions of Matrices

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On Krylov Subspace Approximations to the Matrix Exponential Operator

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Expander graphs and their applications

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Subgraph centrality and walk-regularity

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A new status index derived from sociometric analysis

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Authoritative sources in a hyperlinked environment

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A Nearly-Sublinear Method for Approximating a Column of the Matrix Exponential for Matrices from Large, Sparse Networks

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Walk entropy and walk-regularity

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Generalized tensor function via the tensor singular value decomposition based on the T-product

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Vector estimates for \(f(A)\mathbf b\) via extrapolation

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Semigroup methods for evolution equations on networks

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The Structure and Function of Complex Networks

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Beyond graph energy: norms of graphs and matrices

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A Formula for the Fréchet Derivative of a Generalized Matrix Function

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Consensus and Cooperation in Networked Multi-Agent Systems

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The Lanczos algorithm and complex Gauss quadrature

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On the Stability of Network Indices Defined by Means of Matrix Functions

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Generalized anti-Gauss quadrature rules

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Generalized averaged Gauss quadrature rules for the approximation of matrix functionals

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New block quadrature rules for the approximation of matrix functions

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Numerical Methods for Large Eigenvalue Problems

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Monitoring vulnerability and impact diffusion in financial networks

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Tuned communicability metrics in networks. The case of alternative routes for urban traffic

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Graph Characteristics from the Schrödinger Operator

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Tunable Eigenvector-Based Centralities for Multiplex and Temporal Networks

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Topological evolution in dense granular materials: a complex networks perspective

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Error Bounds for the Krylov Subspace Methods for Computations of Matrix Exponentials

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A spectral method to detect community structure based on the communicability modularity

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1002/GAMM.202000012

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Sitelinks

Mathematics(1 entry)

mardi Publication:6068264

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