GitHub

An Inverse-free Truncated Rayleigh-Ritz Method for Sparse Generalized Eigenvalue Problem

This paper considers the sparse generalized eigenvalue problem (SGEP), which aims to find the leading eigenvector with at most $k$ nonzero entries. SGEP naturally ...
JSTOR Daily

The Inverse Sturm-Liouville Problem and the Rayleigh-Ritz Method

In this paper we present an algorithm for solving the inverse Sturm-Liouville problem with symmetric potential and Dirichlet boundary conditions. The algorithm is based on the Rayleigh-Ritz method for ...
Nature

Rayleigh's Principle and its Applications to Engineering: the Theory and Practice of the Energy Method for the Approximate Determination of Critical Loads and Speeds

PROFS. TEMPLE and Bickley have exemplified and extended a principle put forward by Rayleigh so far back as 1877, a principle which, concerned primarily with the calculation of the fundamental ...
JSTOR Daily

SPLINE-BASED RAYLEIGH-RITZ METHODS FOR THE APPROXIMATION OF THE NATURAL MODES OF VIBRATION FOR FLEXIBLE BEAMS WITH TIP BODIES

Rayleigh-Ritz methods for the approximation of the natural modes for a class of vibration problems involving flexible beams with tip bodies using subspaces of piecewise polynomial spline functions are ...