Results 31 to 40 of about 11,091,462 (126)

Quantum Spectral Clustering Framework via Compact Circuit Structures

open access: yesAdvanced Quantum Technologies, Volume 9, Issue 10, October 2026.
Can a quantum computer cluster data without ever reading the full kernel? This work shows that compact, parameterized circuits estimate the Laplacian quadratic forms directly and perform clustering, without explicitly constructing the full quantum fidelity‐kernel matrix.
Hyeong‐gyu Kim   +2 more
wiley   +1 more source

Buckling Analysis of Laminated Composite Plate with Different Boundary Conditions using modified Fourier series

open access: yesJournal of Engineering, 2019
Buckling analysis of a laminated composite thin plate with different boundary conditions subjected to in-plane uniform load are studied depending on classical laminated plate theory; analytically using (Rayleigh-Ritz method).
Widad I. Majeed   +1 more
doaj   +1 more source

Free Vibration Analysis of Size-Dependent, Functionally Graded, Rectangular Nano/Micro-plates based on Modified Nonlinear Couple Stress Shear Deformation Plate Theories [PDF]

open access: yesMechanics of Advanced Composite Structures, 2017
In the present study, a vibration analysis of functionally graded rectangular nano-/microplates was considered based on modified nonlinear coupled stress exponential and trigonometric shear deformation plate theories.
Korosh Khorshidi, Abolfazl Fallah
doaj   +1 more source

PARSEC.py: A Python‐Based Real‐Space Kohn–Sham Density Functional Theory Code Accelerated by Machine Learned Charge Density

open access: yesJournal of Computational Chemistry, Volume 47, Issue 23, September 5, 2026.
PARSEC.py is a Python‐based real‐space Kohn–Sham DFT framework that leverages the Python scientific ecosystem for transparent, modular integration of machine‐learned densities and GPU acceleration. This unified design enables more efficient and scalable first‐principles simulations of large chemical and materials systems. ABSTRACT PARSEC.py is a Python‐
Zeyi Zhang   +4 more
wiley   +1 more source

Hamiltonian truncation study of supersymmetric quantum mechanics: S-matrix and metastable states

open access: yesJournal of High Energy Physics, 2019
We implement the Rayleigh-Ritz method in supersymmetric quantum mechanics with flat directions, and extract the S-matrix and metastable resonances.
Bruno Balthazar   +2 more
doaj   +1 more source

An analysis of the Rayleigh-Ritz and refined Rayleigh-Ritz methods for nonlinear eigenvalue problems

open access: yes, 2023
We establish a general convergence theory of the Rayleigh--Ritz method and the refined Rayleigh--Ritz method for computing some simple eigenpair ($\lambda_{*},x_{*}$) of a given analytic nonlinear eigenvalue problem (NEP).
Zheng, Qingqing, Jia, Zhongxiao
core  

Rayleigh-Ritz and Lanczos methods for symmetric matrix pencils [PDF]

open access: yes, 1993
We are concerned with eigenvalue problems for definite and indefinite symmetric matrix pencils. First, Rayleigh-Ritz methods are formulated and, using Krylov subspaces, a convergence analysis is presented for definite pencils.
Lancaster, Peter, Ye, Qiang
core   +1 more source

The Use of Restarted Krylov Methods for Large Sparse Least Squares Problems

open access: yesNumerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT The use of restarted Krylov methods for solving large sparse linear least squares problems suffers from certain inherited difficulties. One of them arises in ill‐conditioned problems, when part of the residual vector is spanned by singular vectors that correspond to small singular values.
Achiya Dax
wiley   +1 more source

Free Vibrations of Anisotropic Nano-Objects with Rounded or Sharp Corners

open access: yesNanomaterials, 2021
An extension of the Rayleigh–Ritz variational method to objects with superquadric and superellipsoid shapes and cylinders with cross-sections delimited by a superellipse is presented.
Lucien Saviot
doaj   +1 more source

Hankel-norm estimation for fractional-order systems using the Rayleigh–Ritz method [PDF]

open access: yes, 2009
In this paper, the Rayleigh–Ritz method of estimating the eigenvalues of an operator on a Hilbert space is utilized to determine the magnitude of the largest eigenvalue for the Hankel operator of fractional-order systems, the Hankel norm. This provides a
Tom T. Hartley   +5 more
core   +1 more source

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