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单词 Generalized eigenvector
释义

Generalized eigenvector

英语百科

Generalized eigenvector

An example of a matrix in Jordan normal form. The grey blocks are called Jordan blocks.

In linear algebra, a generalized eigenvector of an n × n matrix A is a vector which satisfies certain criteria which are more relaxed than those for an (ordinary) eigenvector.

Let V be an n-dimensional vector space; let \phi be a linear map in L(V), the set of all linear maps from V into itself; and let A be the matrix representation of \phi with respect to some ordered basis.

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更新时间:2025/6/21 14:30:17