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Left eigenvector

💡 Words with a Similar Meaning to "Left eigenvector"

Found via reverse dictionary — words that share a conceptual meaning.

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 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.
eigenvectornoun(linear algebra) A vector that is only scaled (not rotated out of its span) under a particular linear transformation; a left or right eigenvector depending on context; (more formally) given a linear transformation A, a vector x such that Ax=λx [or xA=λx] for some scalar λ (called the eigenvalue).
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.
eigenpairnoun(linear algebra) The mathematical pair of an eigenvector (ẕ), and its associated eigenvalue (λ). This is written as (λ,ẕ)
eigenprojectionnoun(linear algebra) The linear operator projecting onto an eigenspace.
eigensymbolnoun(mathematics) The symbol for an eigenvector.
characteristic vectornoun(linear algebra) an eigenvector
unit vectornoun(linear algebra, mathematical analysis) A vector with the length of 1, defined as mathbf ̂u=(mathbf u)/(‖ mathbf u‖).
eigenspacenoun(linear algebra) The linear subspace consisting of all eigenvectors associated with a particular eigenvalue, together with the zero vector.
linear operatornoun(mathematics, functional analysis) An operator L such that for functions f and g and scalar λ, L (f + g) = L f + L g and L λf = λ L f.
eigendirectionnounThe space of scalar multiples of an eigenvector.
eigenoperatornoun(mathematics) An operator (endomorphism) involving an eigenvalue.
eigenmatrixnoun(mathematics, rare) The counterpart of eigenvectors for operators over spaces of matrices.
elliptic operatornoun(mathematical analysis) Any of a particular class of second-order linear differential operators.
eigenderivativenounAny derivative of an eigenvalue.
eigenfunctionnoun(mathematics) A function ϕ such that, for a given linear operator D, Dϕ=λϕ for some scalar λ (called an eigenvalue).
eigenlinenoun(mathematics) A one-dimensional eigenspace.
eigenspectrumnoun(mathematics) The set of all eigenvalues of a linear operator.

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