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Eigenvector

💡 Words with a Similar Meaning to "Eigenvector"

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WordDefinition
right eigenvectornoun(linear algebra) An eigenvector corresponding to the right transform of a given linear operator; i.e. u such that rm Au=λu.
left eigenvectornoun(linear algebra) An eigenvector corresponding to the left transform of a given linear operator; i.e. u such that urm A=uλ.
eigenvaluenoun(linear algebra) A scalar λ, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear transformation A is equal to the image of x under multiplication by λ; i.e. Ax=λx.
left eigenvaluenoun(linear algebra) An eigenvalue corresponding to the left transform of a given linear operator; i.e. λ such that urm A=uλ.
right eigenvaluenoun(linear algebra) An eigenvalue corresponding to the right transform of a given linear operator; i.e. λ such that rm Au=λu.
eigensymbolnoun(mathematics) The symbol for an eigenvector.
eigenaxisnoun(mathematics) An eigenvector of an axis of rotation
eigenbivectornounA bivector that is not rotated under a particular linear transformation.
eigenpolynomialnoun(mathematics) Given a square matrix A with eigenvector x and eigenvalue λ, and given the Identity matrix I of the same order (size) as A, an eigenpolynomial is the polynomial of λ that calculates the determinant of A - λI.
eigenspacenoun(linear algebra) The linear subspace consisting of all eigenvectors associated with a particular eigenvalue, together with the zero vector.
eigenpairnoun(linear algebra) The mathematical pair of an eigenvector (ẕ), and its associated eigenvalue (λ). This is written as (λ,ẕ)
characteristic vectornoun(linear algebra) an eigenvector
eigenderivativenounAny derivative of an eigenvalue.
eigenprojectionnoun(linear algebra) The linear operator projecting onto an eigenspace.
eigencomponentnoun(mathematics) A component of an eigenvector
eigenversornoun(mathematics) A versor form of an eigenvector
eigenoperatornoun(mathematics) An operator (endomorphism) involving an eigenvalue.
eigenarraynoun(genetics) (mathematics) One of a set of left singular vectors of a genes x samples matrix that tabulates, e.g., the mRNA or gene expression of the genes across the samples, where the samples were assayed by using DNA microarrays. The corresponding right singular vector is the corresponding eigengene.
eigenlinenoun(mathematics) A one-dimensional eigenspace.
eigengenenoun(genetics, mathematics, physics) One of a set of right singular vectors of a genes x samples matrix that tabulates, e.g., the mRNA or gene expression of the genes across the samples.

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