Results 81 to 90 of about 12,450 (173)

Interconnected systems for the Lyapunov’s linear operator equations in the Hilbert space

Franklin Open
This paper investigates a perturbed interconnected system for linear operator Lyapunov equations in Hilbert space. We establish solvability conditions for the operator system in cases where the generating system of equations does and does not have ...
Oleksandr Pokutnyi, Yevhen Panasenko, Olena Polishchuk   +2 more
doaj   +1 more source

Sketch-based Randomized Algorithms for Dynamic Graph Regression

, 2019
A well-known problem in data science and machine learning is {\em linear regression}, which is recently extended to dynamic graphs. Existing exact algorithms for updating the solution of dynamic graph regression problem require at least a linear time (in
Chehreghani, Mostafa Haghir
core  

Turing meets Moore-Penrose: Computing the Pseudoinverse on Turing Machines [PDF]

, 2022
Holger Boche, Adalbert Fono, Gitta Kutyniok   +2 more
openalex   +1 more source

Derivative trading networks: a spectral model for risk identification

Applied Network Science
This paper develops a spectral model for derivative trading networks in which the trading system’s covariance matrix coincides exactly with its graph Laplacian.
Zhengyuan Jerry Chen
doaj   +1 more source

Weakly perturbed linear boundary-value problem for system of fractional differential equations with Caputo derivative

Results in Applied Mathematics
We consider a perturbed linear boundary-value problem for a system of fractional differential equations with Caputo derivative. The boundary-value problem is specified by a linear vector functional, the number of components of which does not coincide ...
Oleksandr Boichuk, Viktor Feruk
doaj   +1 more source

Improved Qrginv Algorithm for Computing Moore-Penrose Inverse Matrices

, 2014
Katsikis et al. presented a computational method in order to calculate the Moore-Penrose inverse of an arbitrary matrix (including singular and rectangular) (2011).
A. Ataei
semanticscholar   +1 more source

Terminal value problem for the system of fractional differential equations with additional restrictions

Mathematical Modelling and Analysis
This paper deals with the study of terminal value problem for the system of fractional differential equations with Caputo derivative. Additional conditions are imposed on the solutions of this problem in the form of a linear vector functional. Using the
Oleksandr Boichuk, Viktor Feruk
doaj   +1 more source

What is a proper graph Laplacian? An operator-theoretic framework for graph diffusion

Special Matrices
We introduce an operator-theoretic definition of a proper graph Laplacian as any matrix associated with a given graph that can be expressed as the composition of a divergence and a gradient operator, with the gradient acting between graph-related spaces ...
Estrada Ernesto
doaj   +1 more source

Sparse pseudoinverses via LP and SDP relaxations of Moore-Penrose [PDF]

, 2016
Victor K. Fuentes, Marcia Fampa, Jon Lee
openalex   +1 more source

Finding influential nodes in networks using pinning control: Centrality measures confirmed with electrochemical oscillators. [PDF]

Chaos, 2023
Bomela W, Sebek M, Nagao R, Singhal B, Kiss IZ, Li JS.   +5 more
europepmc   +1 more source