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 METHODS FOR LARGE EIGENVALUE PROBLEMS 热度: Computational Methods for Large Eigenvalue Problems Henk van der Vorst 热度: Numerical Methods For Nonlinear Variational Problems 2008 热度: 相关推荐 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
Sidi, A.: Convergence and stability properties of minimal polynomial and reduced rank extrapolation algorithms. SIAM J. Numer. Anal. 23(1), 197–209 (1986) Article MathSciNet MATH Google Scholar Wynn, P.: Acceleration Techniques for Iterated Vector and Matrix Problems. Math. Comput. 16, 301...
is semisimple if its algebraic and geometric multiplicities are equal. like for standard eigenvalue problems, the geometric multiplicity is bounded by the algebraic multiplicity. this fact can be derived from choosing a matrix u that transforms all matrices to triangular form such that its first ...
Two-step modulus-based matrix splitting iteration methods for implicit complementarity problems. Marija Milosevic, Divergence of the backward Euler method for ordinary stochastic differential equations. Xiaobo Yang, Weizhang Huang, Jianxian Qiu, Moving mesh finite difference solution of non-equilibrium radiat...
Noun1.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 ...
AlgorithmsEigenvaluesEigenvectorsParallel processing (Computers)Computer systems performanceHermitian polynomialProblem solvingSeveral methods are described for combinations of Krylov subspace techniques, deflation procedures and preconditionings, for computing a small number of eigenvalues and eigenvectors or Schur ...
摘要原文 ChatGPT is a large language model recently released by the OpenAI company. In this technical report, we explore for the first time the capability of ChatGPT for programming numerical algorithms. Specifically, we examine the capability of GhatGPT for generating codes for numerical algorithms...
P. Tkachuk,Synthesis of Antennas from the Amplitude Polar Diagram: Numerical Methods and Algorithms [in Russian], Naukova Dumka, Kiev (1993). Google Scholar M. M. Vainberg and V. A. Trenogin,Theory of Branchings of Solutions of Nonlinear Equations [in Russian], Nauka, Moscow (1979). ...
We provide a new approach to obtain solutions of linear differential problems set in a Banach space and equipped with nonlocal boundary conditions. From this approach we derive a family of numerical schemes for the approximation of the solutions. We show by numerical tests that these schemes are...