Results 61 to 70 of about 2,287,877 (286)
Optimization Problems of Hermitian Quadratic Matrix-Valued Functions and Applications
AxiomsIn this paper, we investigate optimization problems for a Hermitian quadratic matrix-valued function involving two variable matrices. We derive algebraic formulas for the maximal and minimal ranks and partial inertias of this function based on a ...
Sihem Guerarra
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PT symmetry and large-N models
, 2008 Recently developed methods for PT-symmetric models can be applied to quantum-mechanical matrix and vector models. In matrix models, the calculation of all singlet wave functions can be reduced to the solution a one-dimensional PT-symmetric model.
Bender C M +4 more
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The Sum Two of Hermitian Operators Ai=Ti+Mi for Solving the Equations{Ai X=Ui },i=1,2
Wasit Journal for Pure Sciences, 2023 In this work we study a new class of equations (Ti+Mi)X=Ui, i=1,2 including the sum two of Hermitian operatorsTi and Mi , i=1,2, concerning the kind of spaces are Hilbert.
Eman Sadiq
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Computing a logarithm of a unitary matrix with general spectrum
, 2013 We analyze an algorithm for computing a skew-Hermitian logarithm of a unitary matrix. This algorithm is very easy to implement using standard software and it works well even for unitary matrices with no spectral conditions assumed. Certain examples, with
Anderson +16 more
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Pattern Formation in Non‐Equilibrium Architected Materials
Advanced Materials Technologies, EarlyView.This article demonstrates an artificial mechanical system ‐ a robotic metamaterial ‐ as an accessible and versatile platform within which to explore and prescribe the reaction‐diffusion driven pattern formation hitherto associated with comparatively less accessible and versatile non‐equilibrium biological and chemical systems.
Vinod Ramakrishnan, Michael J. Frazier
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Scattering cross section resonance originating from a spectral singularity
, 2011 Using techniques of supersymmetric quantum mechanics, scattering properties of Hermitian Hamiltonians, which are related to non-Hermitian ones by similarity transformations, are studied.
Samsonov, Boris F.
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Solutions of a constrained Hermitian matrix-valued function optimization problem with applications
, 2016 . Let f(X) = (XC + D )M(XC + D) − G be a given nonlinear Hermitian matrix-valued function with M = M∗ and G = G∗, and assume that the variable matrix X satisfies the consistent linear matrix equation XA = B.
Yongge Tian
semanticscholar +1 more source
Photonics of Topological Magnetic Textures
Advanced Optical Materials, EarlyView.Localized noncollinear magetic textures imprint their geometry and topology onto traversing photonic fields endowing them with orbital angular‐momentum, chirality, and magnetoelectric densities. Abstract Topological textures in magnetically ordered materials are an important case studies for fundamental research with promising applications in data ...
Vakhtang Jandieri +6 more
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Advanced Photonics Research, EarlyView.This review highlights recent advances in accelerating luminescence in nanostructures through cooperative emission, resonator coupling, and nonlocal light–matter interactions. By unifying concepts such as excitonic superradiance, superfluorescence, and the plasmonic Purcell effect, it reveals physical limits of ultrafast emission and their potential ...
Masaaki Ashida +3 more
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On the Hermitian R-Conjugate Solution of a System of Matrix Equations
Journal of Applied Mathematics, 2012 Let R be an n by n nontrivial real symmetric involution matrix, that is, R=R−1=RT≠In. An n×n complex matrix A is termed R-conjugate if A¯=RAR, where A¯ denotes the conjugate of A.
Chang-Zhou Dong +2 more
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