eigenspace

English

Etymology

Etymology tree

Proto-Indo-European *h₂eyḱ-

Proto-Indo-European *h₂eh₂óyḱe

Proto-Germanic *aiganą

Proto-Germanic *aiganaz

Proto-West Germanic *aigan

Old High German eigan

Middle High German eigen

German eigenbor.

English eigen-

Latin spatiumlbor.

Old French espace

Anglo-Norman spacebor.

Middle English space

English space

English eigenspace

From eigen- + space.

Noun

eigenspace (plural eigenspaces)

1. (linear algebra) The linear subspace consisting of all eigenvectors associated with a particular eigenvalue, together with the zero vector.

Related terms

• eigenbasis
• eigenbrain
• eigendecomposition, eigen decomposition
• eigenface
• eigenfunction
• eigenhead
• eigenmode
• eigenpair
• eigenspinor
• eigenstate
• eigensystem
• eigentheory
• eigenvalue
• eigenvector

Translations

set of the eigenvectors associated with a particular eigenvalue

• Albanian: eigenhapësirë f
• Chinese:

  Mandarin: 特徵空間 / 特征空间 (zh) (tèzhēng kōngjiān)

• Danish: egenrum n
• Dutch: eigenruimte f
• Finnish: ominaisavaruus
• French: espace propre m
• German: Eigenraum m
• Greek: ιδιόχωρος m (idióchoros)
• Icelandic: eiginrúm ?
• Italian: autospazio (it) m
• Polish: przestrzeń własna f
• Russian: со́бственное простра́нство n (sóbstvennoje prostránstvo)
• Spanish: espacio propio m, autoespacio (es) m, eigenespacio m, suispacio m