eigenvalue's Usage Examples:

Both eigenvalues have negative real part and the stiffness ratio iswhich is fairly large.

Applications The notion of stability radius is generally applied to special functions as polynomials (the spectrum is then the roots) and matrices (the spectrum is the eigenvalues).

requirements of the above definition of a ladder operator: the incrementing or decrementing of the eigenvalue of another operator (in this case the particle number.

If the function is at least twice continuously differentiable the different cases may be distinguished by considering the eigenvalues of the Hessian matrix of second derivatives.

positive eigenvalues can be uniquely expressed as the exponential of a traceless hermitian matrix, and therefore the topology of this is that of (n2 −.

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.

to which the matrix has the required form exists if and only if all eigenvalues of the matrix lie in K, or equivalently if the characteristic polynomial.

a polynomial which is invariant under matrix similarity and has the eigenvalues as roots.

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

Repeated eigenvaluesThis example covers only the case for real, separate eigenvalues.

A critical point at which the Hessian matrix is nonsingular is said to be nondegenerate, and the signs of the eigenvalues of the Hessian determine the local behavior of the function.

} Since the above equation is a biharmonic eigenvalue problem, we look for Fourier expansion solutions of the form.

Synonyms:

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

Antonyms:

disesteem, criticize, worthlessness, unimportance, importance,