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Matrix Resolvent Eigenembeddings for Dynamic Graphs
ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2023 Eigenvector embeddings have been widely used to study graph properties in signal processing, mining, and learning tasks. However, if a graph is changing dynamically, these embeddings have to be recomputed.
Vasileios Kalantzis +1 more
exaly +3 more sources
MathematicsIn the present work, a Cauchy (initial) problem for a fractional linear system with distributed delays and Caputo-type derivatives of incommensurate order is considered.
Hristo Kiskinov +3 more
doaj +4 more sources
A study of resolvent set for a class of band operators with matrix elements
Concrete Operators, 2016 For operators generated by a certain class of infinite three-diagonal matrices with matrix elements we establish a characterization of the resolvent set in terms of polynomial solutions of the underlying second order finite-difference equations.
Osipov Andrey
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On two resolvent matrices of the truncated Hausdorff matrix moment problem
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2022 We consider the truncated Hausdorff matrix moment problem (THMM) in case of a finite number of even moments to be called non degenerate if two block Hankel matrices constructed via the moments are both positive definite matrices.
A. E. Choque-Rivero +1 more
doaj +2 more sources
The matrix-resolvent method to tau-functions for the nonlinear Schrödinger hierarchy [PDF]
Journal of Geometry and Physics, 2022 We extend the matrix-resolvent method of computing logarithmic derivatives of tau-functions to the nonlinear Schrödinger (NLS) hierarchy. Based on this method we give a detailed proof of a theorem of Carlet, Dubrovin and Zhang regarding the relationship ...
Di Yang
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Matrix Resolvent and the Discrete KdV Hierarchy [PDF]
Communications in Mathematical Physics, 2019 Based on the matrix-resolvent approach, for an arbitrary solution to the discrete KdV hierarchy, we define the tau-function of the solution, and compare it with another tau-function of the solution defined via reduction of the Toda lattice hierarchy ...
B. Dubrovin, Di Yang
semanticscholar +5 more sources
Tau-functions for the Ablowitz–Ladik hierarchy: the matrix-resolvent method [PDF]
Journal of Physics A: Mathematical and Theoretical, 2021 We extend the matrix-resolvent method for computing logarithmic derivatives of tau-functions to the Ablowitz–Ladik hierarchy. In particular, we derive a formula for the generating series of the logarithmic derivatives of an arbitrary tau-function in ...
M. Cafasso, Di Yang
semanticscholar +4 more sources
On Taylor’s formula for the resolvent of a complex matrix
Computers and Mathematics With Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paolo E Ricci
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From non-ergodic eigenvectors to local resolvent statistics and back: A random matrix perspective [PDF]
Europhysics Letters, 2016 We study the statistics of the local resolvent and non-ergodic properties of eigenvectors for a generalised Rosenzweig-Porter random matrix model, undergoing two transitions separated by a delocalised non-ergodic phase.
Pierpaolo Vivó, Davide Facoetti
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Resolvent Convergence for Differential–Difference Operators with Small Variable Translations
Mathematics, 2023 We consider general higher-order matrix elliptic differential–difference operators in arbitrary domains with small variable translations in lower-order terms.
Denis Ivanovich Borisov +1 more
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