They appear in many scientific and engineering applications. For structured matrix eigenvalue problems, the key problem of computational mathematics is to develop structure-preserving algorithms. Structured backward error analysis may be done to test the strong stability of a numerical algorithm. 对于结构特征值问题,计算数学的主要问题是发展保结构算法(Structure-preservingalgorithm),而结构向后误差可以用来检验数值算法的强稳定性。
Backward Error Analysis for Structured Unitary Matrix Eigenvalue Problems 结构酉阵特征值问题向后扰动分析
Finite Wordlength Effects in Adaptive SLC by Backward Error Analysis 自适应旁瓣对消有限字长效应的后向分析
Backward Error Analysis for Maximum Snr Adaptive Array 最大信噪比自适应阵处理的后向误差分析
Backward error analysis of a class of the periodic symplectic matrices for eigenproblem 一类周期辛矩阵对特征值问题的向后误差分析
This paper still studies the mains of the forward error analysis and backward error analysis. 还研究了向前误差分析和向后误差分析的要点。
The backward error is a basic concept in numerical algebra and the back-ward error analysis is useful in many respects. For example, it is applied to examine the stability of new algorithms. 向后误差是数值代数中的一个基本概念。向后误差分析的结果有多方面的应用,如:检测新算法的向后稳定性。