Results 21 to 30 of about 74 (72)
Double Copy From Tensor Products of Metric BV■‐Algebras
Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract Field theories with kinematic Lie algebras, such as field theories featuring color–kinematics duality, possess an underlying algebraic structure known as BV■‐algebra. If, additionally, matter fields are present, this structure is supplemented by a module for the BV■‐algebra.
Leron Borsten +5 more
wiley +1 more source
Geometric Relational Framework for General‐Relativistic Gauge Field Theories
Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract It is recalled how relationality arises as the core insight of general‐relativistic gauge field theories from the articulation of the generalized hole and point‐coincidence arguments. Hence, a compelling case for a manifestly relational framework ensues naturally.
Jordan T. François, Lucrezia Ravera
wiley +1 more source
Nonlinear Optics Through the Field Tensor Formalism
Laser &Photonics Reviews, Volume 19, Issue 2, January 22, 2025.This review delves into the symmetry properties of electric fields and susceptibility tensors. It explores scenarios where propagation effects are negligible and situations where propagation is significant, elucidating the role of the field tensor in phase‐matching considerations.
Julien Duboisset +4 more
wiley +1 more source
IET Image Processing, Volume 19, Issue 1, January/December 2025.This paper proposes a quaternion‐based framework for color image restoration, addressing challenges such as color distortion and structural artifacts. By combining low‐rank pseudo‐norm constraints with saturation‐value total variation (SVTV) regularization and solving via ADMM, the method achieves high‐quality results in denoising, deblurring, and ...
Zipeng Fu +3 more
wiley +1 more source
IET Radar, Sonar &Navigation, Volume 19, Issue 1, January/December 2025.A generalisation of the Kalman Filter and Linar Quadratic Gaussian controller to deal with multi‐sensor and multi‐agent/target scenarios is developed through tensor algebra. Applications of the tensor‐LQG allow developing parallel optimal control and waveform design suitable for multi‐radar and multi‐agent/target systems.
Alfonso Farina +3 more
wiley +1 more source
Bayesian Robust Tensor Decomposition Based on MCMC Algorithm for Traffic Data Completion
IET Signal Processing, Volume 2025, Issue 1, 2025.Data loss is a common problem in intelligent transportation systems (ITSs). And the tensor‐based interpolation algorithm has obvious superiority in multidimensional data interpolation. In this paper, a Bayesian robust tensor decomposition method (MBRTF) based on the Markov chain Monte Carlo (MCMC) algorithm is proposed.
Longsheng Huang +6 more
wiley +1 more source
Introducción a la topología y geometría diferencial en el lenguaje de sheaves [PDF]
, 2003 El libro consta de cinco capítulos. El primer capítulo es el preliminar al resto de la obra. En él se desarrollan los preliminares del álgebra multilineal, y se hace un repaso de los conceptos y resultados básicos de topología general y calculo ...
Vélez Caicedo, Juan Diego
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Computational and Mathematical Methods, Volume 2025, Issue 1, 2025.This study presents analytical and numerical‐analytical decomposition methods for determining complex one‐parameter generalized inverse Moore–Penrose matrices. The analytical approach is based on the third Moore–Penrose condition, offering three solution options.
Sargis Simonyan +3 more
wiley +1 more source
Higher order derivatives and norms of certain matrix functions
, 2014 Tese de doutoramento, Matemática (Álgebra Lógica e Fundamentos), Universidade de Lisboa, Faculdade de Ciências, 2014In this thesis we obtain formulas for higher order directional derivatives for the immanant map, which is a generalization of the ...
Carvalho, Sónia Raquel Ferreira, 1978-
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Tensor spaces and exterior algebra
, 1992 This book explains, as clearly as possible, tensors and such related topics as tensor products of vector spaces, tensor algebras, and exterior algebras. You will appreciate Yokonuma's lucid and methodical treatment of the subject.
Yokonuma, Takeo
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