eigenvalue's Usage Examples:

The corresponding eigenvalue, often denoted by λ {\displaystyle \lambda } , is the factor by which.

is the eigenvalue.

The above equation is called the eigenvalue equation or the eigenvalue problem.

This yields an equation for the eigenvalues p ( λ ).

factor called an eigenvalue.

As an equation, this condition can be written as D f = λ f {\displaystyle Df=\lambda f} for some scalar eigenvalue λ.

a real square matrix with positive entries has a unique largest real eigenvalue and that the corresponding eigenvector can be chosen to have strictly.

are the eigenvalues (of the operator), and the number of times each eigenvalue occurs is called the algebraic multiplicity of the eigenvalue.

having more than one linearly independent eigenstate with the same energy eigenvalue.

positive semi-definite normal matrices, the eigenvalue decomposition and SVD of M, while related, differ: the eigenvalue decomposition is M = UDU−1, where U is.

In mathematics, the Dirichlet eigenvalues are the fundamental modes of vibration of an idealized drum with a given shape.

eigenvalues, since distinct eigenvalues always have linearly independent eigenvectors.

In particular, a defective matrix has one or more eigenvalues λ.

The resulting equation is known as eigenvalue equation.

The eigenvectors and eigenvalues are derived from it via the characteristic polynomial.

designing efficient and stable algorithms for finding the eigenvalues of a matrix.

These eigenvalue algorithms may also find eigenvectors.

number, and corresponds to the energy eigenvalue of the state | Ψ ⟩ {\displaystyle |\Psi \rangle } .

This is an eigenvalue equation: H ^ {\displaystyle {\hat.

This scalar a is an eigenvalue of f.

The parameter λ is an unknown factor, which plays the same role as the eigenvalue in linear algebra.

one real eigenvalue, and the remaining two eigenvalues must be complex conjugates of each other (see Eigenvalues and eigenvectors#Eigenvalues and the characteristic.

has an eigenvalue with zero real part.

If the eigenvalue is equal to zero, the bifurcation is a steady state bifurcation, but if the eigenvalue is non-zero.

The relationship between a graph and the eigenvalues and eigenvectors of its adjacency matrix is studied in spectral graph.

Synonyms:

eigenvalue of a square matrix; value; eigenvalue of a matrix; characteristic root of a square matrix;

Antonyms:

disesteem; criticize; worthlessness; unimportance; importance;