Results 51 to 60 of about 5,810,036 (263)

Gradient-Based Optimization Algorithm for Solving Sylvester Matrix Equation

open access: yesMathematics, 2022
In this paper, we transform the problem of solving the Sylvester matrix equation into an optimization problem through the Kronecker product primarily. We utilize the adaptive accelerated proximal gradient and Newton accelerated proximal gradient methods ...
Juan Zhang, Xiao Luo
doaj   +1 more source

Enhancing Image Encryption with the Kronecker xor Product, the Hill Cipher, and the Sigmoid Logistic Map

open access: yesApplied Sciences, 2023
In today’s digital age, it is crucial to secure the flow of information to protect data and information from being hacked during transmission or storage.
Dani Elias Mfungo   +3 more
semanticscholar   +1 more source

Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections

open access: yesAdvanced Electronic Materials, EarlyView.
The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley   +1 more source

Polarimetric Kronecker Separability of Site-Specific Double-Directional Channel in an Urban Macrocellular Environment

open access: yesEURASIP Journal on Wireless Communications and Networking, 2009
This paper focuses on the modeling of a double-directional power spectrum density (PSD) between the base station (BS) and mobile station (MS) based on the site-specific measurements in an urban macrocell in Tokyo.
Kriangsak Sivasondhivat   +3 more
doaj   +2 more sources

A Novel Approach to Polynomial Approximation in Multidimensional Cylindrical Domains via Generalized Kronecker Product Bases

open access: yesAxioms
The Kronecker product has been commonly seen in various scientific fields to formulate higher-dimensional spaces from lower-dimensional ones. This paper presents a generalization of the Cannon–Kronecker product bases by introducing generalized Kronecker ...
Mohra Zayed
doaj   +1 more source

The Newton polytope of the Kronecker product [PDF]

open access: yesCombinatorial Theory
27 ...
Panova, Greta, Zhao, Chenchen
openaire   +2 more sources

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

open access: yesAdvanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows   +7 more
wiley   +1 more source

Minimal Sufficient Conditions for Structural Observability/Controllability of Composite Networks via Kronecker Product [PDF]

open access: yesIEEE Transactions on Signal and Information Processing over Networks, 2019
In this article, we consider composite networks formed from the Kronecker product of smaller networks. We find the observability and controllability properties of the product network from those of its constituent smaller networks.
Mohammadreza Doostmohammadian, U. Khan
semanticscholar   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

open access: yesAdvanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Controllability and Observability Conditions for Impulsive DAEs on Time Scales

open access: yesAsian Journal of Control, EarlyView.
ABSTRACT This paper establishes criteria for controllability and observability in a class of linear time‐invariant impulsive differential‐algebraic equations (DAEs) defined on a time scale. Controllability is defined as the ability to transfer the system state from any initial condition to any desired state within a finite time interval using an ...
Awais Younus   +3 more
wiley   +1 more source

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