The Bethe㏒alpeter eigenvalue problem arises in the computation of the electronic structure of many‐body physical systems. The resulting matrix is complex, admits a certain block structure and can become extremely large. This raises the need for structure﹑reserving algorithms running in parallel ...
Numerical solution of eigenvalue problems using spectral techniques Two algorithms based on spectral Chebyshev and pseudospectral Chebyshev methods are presented for solving difficult eigenvalue problems that are valid over... YY Su,B Khomami - 《Journal of Computational Physics》 被引量: 53发表: 1992...
NUMERICAL GRADIENT SINGULAR ALGORITHMS FOR EIGENVALUE VALUE CALCULATIONS* AND Recent work has shown that the algebraic question of determining the eigenvalues, or singular values, of a matrix can be answered by solving certain continuous-time gradient flows on matrix manifolds, To obtain computational ...
A single-input recursive algorithm and a multi-input explicit QR algorithm are the fastest algorithms, respectively, for the single input and the multi-input eigenvalue assignment problems. Unfortunately, the numerical stability of these algorithms is not guaranteed. The multi-input explicit QR ...
1 投币 https://nla-group.org/njh60/ This international workshop focuses on numerical linear algebra (NLA) and will bring together researchers working in NLA to discuss current developments, challenges in the light of evolving computer hardware and the changing needs of applications, but most impor...
This paper presents an original formulation of two-point boundary value and eigenvalue problems expressed as a system of first-order equations. The fundamental difference between the new method and other methods based on a first-order approach is the introduction of conditions of an integral characte...
摘要: In this chapter, we will demonstrate the application of the Ritz method to the numerical solution of eigenvalue problems. At the same time, we shall show the application of two simple methods presented at the end of the preceding chapter to get lower estimates of eigenvalues.关键词:...
To reach this goal, we consider a variety of mathematical problems such as the Poisson equation, the diffusion equation, the incompressible Navier-Stokes equations, compressible inviscid flow, eigenvalue problems, solving linear systems of equations, storing sparse matrices, etc. Furthermore, we ...
This chapter is devoted to the basic numerical methods. We first discuss various approximations, solution of systems, and eigenvalue problems. Then, we deal with finite-difference methods for parabolic partial differential equations, including algorithms, stability and convergence analysis, and ...
numerical analysis - (mathematics) the branch of mathematics that studies algorithms for approximating solutions to problems in the infinitesimal calculus math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement pure mathematics -...