Results 101 to 110 of about 138,468 (211)
Distributed Optimization of Finite Condition Number for Laplacian Matrix in Multi‐Agent Systems
International Journal of Robust and Nonlinear Control, Volume 36, Issue 9, Page 5030-5043, June 2026.ABSTRACT This paper addresses the distributed optimization of the finite condition number of the Laplacian matrix in multi‐agent systems. The finite condition number, defined as the ratio of the largest to the second smallest eigenvalue of the Laplacian matrix, plays an important role in determining the convergence rate and performance of consensus ...
Yicheng Xu, Faryar Jabbari
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A Resource Efficient Ising Model‐Based Quantum Sudoku Solver
Software: Practice and Experience, Volume 56, Issue 6, Page 643-657, June 2026.ABSTRACT Background Quantum algorithms exploit superposition and parallelism to address complex combinatorial problems, many of which fall into the non‐polynomial (NP) class. Sudoku, a widely known logic‐based puzzle, is proven to be NP‐complete and thus presents a suitable testbed for exploring quantum optimization approaches.
Wen‐Li Wang +5 more
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International Journal of Mathematics and Mathematical Sciences, 2012 We establish necessary and sufficient conditions for the existence of and the expressions for the general real and complex Hermitian solutions to the classical system of quaternion matrix equations A1X=C1,XB1=C2, and A3XA3*=C3. Moreover, formulas of the
Shao-Wen Yu
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Generalized unitary evolution for symplectic scalar fermions
Journal of High Energy PhysicsThe theory of symplectic scalar fermion of LeClair and Neubert is studied. The theory evades the conventional spin-statistics theorem because its Hamiltonian is pseudo Hermitian. The definition of pseudo Hermiticity is examined in the interacting and the
Cheng-Yang Lee
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A Stable and Accurate X‐FFT Solver for Linear Elastic Homogenization Problems in 3D
International Journal for Numerical Methods in Engineering, Volume 127, Issue 10, 30 May 2026.ABSTRACT Although FFT‐based methods are renowned for their numerical efficiency and stability, traditional discretizations fail to capture material interfaces that are not aligned with the grid, resulting in suboptimal accuracy. To address this issue, the work at hand introduces a novel FFT‐based solver that achieves interface‐conforming accuracy for ...
Flavia Gehrig, Matti Schneider
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Nanophotonics, Volume 15, Issue 9, 13 May 2026.An ab initio electromagnetic framework links quasinormal modes to Fano resonances in extinction spectra. Analytical expressions for the Fano asymmetry and intensity parameters are derived from overlap integrals, enabling rapid spectral reconstruction and physical interpretation.
Mikhail Bochkarev +5 more
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, 2015 The Single Ring Theorem, by Guionnet, Krishnapur and Zeitouni, describes the empirical eigenvalue distribution of a large generic matrix with prescribed singular values, i.e.
Benaych-Georges, Florent
core
Interference‐Induced Cavity Resonances and Imaginary Rabi Splitting
Nanophotonics, Volume 15, Issue 9, 13 May 2026.Coupling of a two‐level emitter to (a, b) a single‐mode resonance with a Lorentzian spectral density, and (c, d) a two‐mode cavity with a more complex spectral density. This work reveals a new polaritonic regime beyond the single‐mode description, emerging from emitter interaction with the interference‐induced resonance associated with the Fano ...
Anael Ben‐Asher +2 more
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Research on Least-Square η-Hermitian Solutions of Split Quaternion Matrix Equations
Journal of MathematicsIn this article, we use the real representation matrix of the split quaternion matrix, vector operator, Kronecker product, and Moore–Penrose generalized inverse.
Yang Zhang, Xiaoda Zhang
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A fast, preconditioned conjugate gradient Toeplitz solver [PDF]
A simple factorization is given of an arbitrary hermitian, positive definite matrix in which the factors are well-conditioned, hermitian, and positive definite.
Pan, Victor, Schrieber, Robert
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