Results 21 to 30 of about 1,102 (128)
MathematicsFor solving the continuous Sylvester equation, a class of Hermitian and skew-Hermitian based multiplicative splitting iteration methods is presented. We consider two symmetric positive definite splittings for each coefficient matrix of the continuous ...
Mohammad Khorsand Zak +1 more
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Solution of the congruence problem for arbitrary hermitian and skew-hermitian matrices over polynomial rings [PDF]
, 2002 We equip the complex polynomial algebra C[t] with the involution which is the identity on C and sends t to -t. Answering a question raised by V.G. Kac, we show that every hermitian or skew-hermitian matrix over this algebra is congruent to the direct sum
D. Djoković, F. Szechtman
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Curvature of quaternionic skew‐Hermitian manifolds and bundle constructions
Mathematische Nachrichten, Volume 298, Issue 1, Page 87-112, January 2025.Abstract This paper is devoted to a description of the second‐order differential geometry of torsion‐free almost quaternionic skew‐Hermitian manifolds, that is, of quaternionic skew‐Hermitian manifolds (M,Q,ω)$(M, Q, \omega)$. We provide a curvature characterization of such integrable geometric structures, based on the holonomy theory of symplectic ...
Ioannis Chrysikos +2 more
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Trotterless Simulation of Open Quantum Systems for NISQ Quantum Devices
Advanced Quantum Technologies, Volume 8, Issue 1, January 2025.Open quantum systems exhibit complex dynamics that can be simulated on quantum computers to provide physical insights into their behavior. This work proposes a new method for simulating these systems that reduces the effect of noise and errors on modern quantum hardware.
Colin Burdine, Enrique P. Blair
wiley +1 more source
Exact solitary wave solutions for a coupled gKdV–Schrödinger system by a new ODE reduction method
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.Abstract A new method is developed for finding exact solitary wave solutions of a generalized Korteweg–de Vries equation with p$p$‐power nonlinearity coupled to a linear Schrödinger equation arising in many different physical applications. This method yields 22 solution families, with p=1,2,3,4$p=1,2,3,4$.
Stephen C. Anco +3 more
wiley +1 more source
A Comprehensive Review of Matrix Equations in Dynamical Systems and Control Theory
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.Matrix equations are of foundational importance in the modeling, investigation, and control of dynamical systems. This review discusses various classes of matrix equations, their solutions, and their relevance in control theory and dynamical systems.
Chacha Stephen Chacha, Arpan Hazra
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A Study of Generalized Differential Identities via Prime Ideals
Journal of Mathematics, Volume 2025, Issue 1, 2025.Let R be a ring and P be a prime ideal of R. The aim of this research paper is to delve into the relationship between the structural properties of the quotient ring R/P and the behavior of generalized derivations in a ring R endowed with an involution.
Ali Yahya Hummdi +4 more
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Quantum Engineering, Volume 2025, Issue 1, 2025.The concept of non‐Hermitian systems, also known as exceptional points (EPs), has recently emerged as a novel approach for designing the response of systems that exchange energy with the external environment. The system behaves as a non‐Hermitian Hamiltonian (NH Hamiltonian), the real part of which is related to the internal dynamics of the system, and
Jiaxuan Wei +9 more
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Weakly invariant norms: Geometry of spheres in the space of skew-Hermitian matrices [PDF]
Linear Algebra and its Applications, 2023 G. Larotonda, Iv'an Rey
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Nanophotonics, Volume 14, Issue 1, Page 81-94, January 2025.Abstract Non‐Hermitian (NH) photonic systems leverage gain and loss to open new directions for nanophotonic technologies. However, the quantum and thermal noise intrinsically associated with gain/loss affects the eigenvalue/eigenvector structure of NH systems, and thus the existence of exceptional points, as well as the practical noise performance of ...
Osmery Hernández, Iñigo Liberal
wiley +1 more source