eigenvalue

Preposition: of

• matrix: The eigenvalues of a matrix are the roots of its characteristic equation.
• operator: The assumption is that the zeroes of such Zeta functions correspond to the eigenvalues of finite dimensional unitary operators of natural quantum mechanical systems.

Converse of object

• compute: The compute eigenvalues are stored in the member ' W ' .
• calculate: The program tests for linear dependence by calculating the eigenvalues of the overlap matrix.
• find: Course Description Solving linear systems Ax = b or finding the eigenvalues of a matrix may appear to be trivial tasks.
• have: The transition matrices of periodic Markov chains have eigenvalues on the unit circle.
• contain: S 2 B = I ) then d contains the eigenvalues of the hermitian matrix SAS.
• associate: A C King & D J Needham On the behavior of eigenvalues associated with Sturm-Liouville problems on shrinking domains.

Adjective modifier

• corresponding: The corresponding eigenvalue is the same in both cases.
• negative: There is a practical tip to make negative eigenvalues rear their head less.
• complex: The fermion determinant is calculated by summing over the resulting complex eigenvalues.
• low: The goal is to find visual characteristics of the domain which determine or at least estimate the lowest eigenvalue.
• large: Let, , be the n ' eigenvectors of which have the largest corresponding eigenvalues.
• small: From section 3.1 we seek the eigenvector with smallest eigenvalue of.

Modifies a noun

• equation: Solution method: The momentum balance equation is transformed into an eigenvalue equation of the Mathieu type with an extra damping term.
• problem: Nature of problem: The numeric eigenvalue problem appears in a number of branches of Physics.
• analysis: The first two natural circular frequencies are determined from the eigenvalue analysis and used to evaluate Rayleigh damping factors from equations ( 5 ).
• spectrum: The eigenvalue spectrum provides an answer to the question of how many images are necessary to determine a reconstruction to a given resolution.

Noun used with modifier

• matrix: For large problems round- off errors may accumulate during the solution of the matrix eigenvalue equation.
• energy: Unusual features: To include the effects of screening the atomic number Z and the electron energy eigenvalue may be modified.