One Approach to Construction of Bilateral Approximations Methods for Solution of Nonlinear Eigenvalue Problems
One Approach to Construction of Bilateral Approximations Methods for Solution of Nonlinear Eigenvalue Problems作者机构:Institute of Applied Problems of Mechanics & Mathematics National Academy of Sciences of Ukraine Lviv Ukraine
出 版 物:《American Journal of Computational Mathematics》 (美国计算数学期刊(英文))
年 卷 期:2012年第2卷第2期
页 面:118-124页
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题:Nonlinear Eigenvalue Problem Derivatives of Matrix Determinant Numerical Algorithm of Alternate Approximations
摘 要:In this paper a new approach to construction of iterative methods of bilateral approximations of eigenvalue is proposed and investigated. The conditions on initial approximation, which ensure the convergence of iterative processes, are obtained.