💡 Words with a Similar Meaning to "Eigenpair"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| 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. |
| 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. |
| eigenlinenoun | (mathematics) A one-dimensional eigenspace. |
| eigenprojectionnoun | (linear algebra) The linear operator projecting onto an eigenspace. |
| eigenbranoun | (mathematics) The dual of an eigenket. |
| eigensymbolnoun | (mathematics) The symbol for an eigenvector. |
| eigenmatrixnoun | (mathematics, rare) The counterpart of eigenvectors for operators over spaces of matrices. |
| eigendecompositionnoun | (linear algebra) The factorization of a matrix into a canonical form, whereby the matrix is represented in terms of its eigenvalues and eigenvectors. |
| eigen decompositionnoun | Alternative form of eigendecomposition. [(linear algebra) The factorization of a matrix into a canonical form, whereby the matrix is represented in terms of its eigenvalues and eigenvectors.] |
| eigenoperatornoun | (mathematics) An operator (endomorphism) involving an eigenvalue. |
| right eigenvectornoun | (linear algebra) An eigenvector corresponding to the right transform of a given linear operator; i.e. u such that rm Au=λu. |
| eigenrationoun | (mathematics) A ratio of eigenvalues |
| eigenequationnoun | (mathematics) Any equation containing an eigenfunction |
| eigencoordinatenoun | A coordinate composed of eigenvalues |
| eigenfunctionnoun | (mathematics) A function ϕ such that, for a given linear operator D, Dϕ=λϕ for some scalar λ (called an eigenvalue). |
| right eigenvaluenoun | (linear algebra) An eigenvalue corresponding to the right transform of a given linear operator; i.e. λ such that rm Au=λu. |
| eigencomponentnoun | (mathematics) A component of an eigenvector |
| eigenspectrumnoun | (mathematics) The set of all eigenvalues of a linear operator. |
📝 Common Phrases with "Eigenpair"
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