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Eigenvalue

💡 Words with a Similar Meaning to "Eigenvalue"

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WordDefinition
valuesnoun(Philippines, education, uncountable) Ellipsis of values education.
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).
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.
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.
proper valuenoun(dated, linear algebra) An eigenvalue.
eigenpairnoun(linear algebra) The mathematical pair of an eigenvector (ẕ), and its associated eigenvalue (λ). This is written as (λ,ẕ)
eigenfunctionnoun(mathematics) A function ϕ such that, for a given linear operator D, Dϕ=λϕ for some scalar λ (called an eigenvalue).
eigenspacenoun(linear algebra) The linear subspace consisting of all eigenvectors associated with a particular eigenvalue, together with the zero vector.
eigenoperatornoun(mathematics) An operator (endomorphism) involving an eigenvalue.
left eigenvectornoun(linear algebra) An eigenvector corresponding to the left transform of a given linear operator; i.e. u such that urm A=uλ.
right eigenvectornoun(linear algebra) An eigenvector corresponding to the right transform of a given linear operator; i.e. u such that rm Au=λu.
eigenderivativenounAny derivative of an eigenvalue.
eigensymbolnoun(mathematics) The symbol for an eigenvector.
eigenspectrumnoun(mathematics) The set of all eigenvalues of a linear operator.
characteristic rootnoun(linear algebra) An eigenvalue.
eigenlinenoun(mathematics) A one-dimensional eigenspace.
eigensolutionnoun(mathematics) Any of the results of the calculation of eigenvalues
eigenproblemnoun(mathematics) A mathematical problem involving eigenvalues.
eigenstructurenoun(mathematics) The set of eigenvalues of a matrix.

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