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名詞

eigenelement (複数形 eigenelements)

1. (mathematics) A nonzero element ${\\displaystyle m}$ of a semimodule ${\\displaystyle M}$, such that there exists an endomorphism ${\\displaystyle A}$ on ${\\displaystyle M}$ and a real number ${\\displaystyle r}$ (a corresponding eigenvalue) for which the image of ${\\displaystyle m}$ under ${\\displaystyle \\mathrm {A} }$ is equal to the product of ${\\displaystyle r}$ times ${\\displaystyle m}$; i.e. ${\\displaystyle m{A}=rm}$.