generalized eigenvalue meaning in English
广义特征值
Examples
- It plays a very important role in many application , according to the point of mathematics point , its mostly application originate from equations of mathematical physics , difference equations , markov process , and so on , its purpose is to solve the problems of solid , fluid , electromagnetic , microscopic particles , system control , and etc . in practical science research and engineer applications , such as , architecture project , research of aeronautics and astronautics , bioscience , computing physics and oil reconnoiter , many large scale generalized eigenvalue problems need to be solved
它在很多应用中扮演非常重要的角色，从数学角度来看，矩阵特征值问题的应用大多来自数学物理方程、差分方程、 markov过程等。目的是为了计算固体、流体、电磁、微观粒子、系统控制等重大问题。在实际的科学研究与工程应用中，比如在建筑工程、航空航天研究、生物科学、计算物理以及石油勘探中，都要涉及到大规模矩阵广义特征值问题的计算。 - Following from the results of sensitivity analysis of standard eigenvalue problems , the differentiability of semisimple multiple eigenvalues of nonsymmetric generalized eigenvalue problems is proved , and the derivatives of semisimple multiple eigenvalues and the series expansions of the corresponding eigenvectors are obtained
摘要以标准特征值问题灵敏度分析的有关结论为基础，证明了单参数非对称广义特征值问题半单重特征值的可微性，给出了特征值导数的表达式和特征向量的级数展开式。 - The main productions are summarized as follows : ( 1 ) the symmetric - definite tridiagonal generalized eigenvalue problems i ) a divide - and - conquer algorithm is proposed . the original problem is divided into two subproblems , and the sum of the subproblem ' s scales is equal to the original problem ' s scale
本文的主要研究成果概括如下： ( 1 )关于实对称定三对角矩阵广义特征值问题? )提出了一种基于等规模矩阵划分策略的分治算法，子问题的规模之和等于原问题的规模。