Abstract

For an algebraic spectral problem that is linear with respect to the spectral parameter, some numerical methods are considered to find the root space corresponding to a chosen eigenvalue. These methods make it possible to construct the root space as a whole without calculating the corresponding eigenvectors and associated vectors. The proposed algorithms are numerically stable.

中文翻译：

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寻找线性代数谱问题的根空间

摘要

对于与谱参数呈线性关系的代数谱问题，可以考虑使用一些数值方法来找到与所选特征值对应的根空间。这些方法使得可以在不计算相应的特征向量和关联向量的情况下将根空间构建为一个整体。所提出的算法在数值上是稳定的。