ON MATRICES DEPENDING ON PARAMETERS

作者：Vladimir I. Arnold · 发表于：Russian Mathematical Surveys · 年份：1971 · DOI：10.1070/rm1971v026n02abeh003827 · 被引用次数：437 · 研究领域：Matrix Theory and Algorithms、Material Science and Thermodynamics

Given a family of matrices smoothly depending on parameters of endomorphisms of a complex linear space, it is shown that there is a normal form to which the family can be reduced by the choice of a base smoothly depending on the parameters. The formulae obtained are applied to the investigation of bifurcation diagrams of families of matrices.