💡 Words with a Similar Meaning to "Left eigenvalue"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| right eigenvaluenoun | (linear algebra) An eigenvalue corresponding to the right transform of a given linear operator; i.e. λ 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. |
| right eigenvectornoun | (linear algebra) An eigenvector corresponding to the right transform of a given linear operator; i.e. u such that rm Au=λu. |
| 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. |
| 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). |
| proper valuenoun | (dated, linear algebra) An eigenvalue. |
| eigenfunctionnoun | (mathematics) A function ϕ such that, for a given linear operator D, Dϕ=λϕ for some scalar λ (called an eigenvalue). |
| eigenoperatornoun | (mathematics) An operator (endomorphism) involving an eigenvalue. |
| 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. |
| eigenderivativenoun | Any derivative of an eigenvalue. |
| characteristic rootnoun | (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) |
| eigenspacenoun | (linear algebra) The linear subspace consisting of all eigenvectors associated with a particular eigenvalue, together with the zero vector. |
| eigenspectrumnoun | (mathematics) The set of all eigenvalues of a linear operator. |
| eigenlinenoun | (mathematics) A one-dimensional eigenspace. |
| eigenprojectionnoun | (linear algebra) The linear operator projecting onto an eigenspace. |
| 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. |
| eigenlevelnoun | Any level whose value is based on an eigenfunction |
| eigenproblemnoun | (mathematics) A mathematical problem involving eigenvalues. |
| lambdanoun | (physics, mathematics) Unit representation of wavelength. |
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