eigenvalue of a matrix

  • 1eigenvalue of a matrix — noun (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant • Syn: ↑eigenvalue, ↑eigenvalue of a square matrix, ↑characteristic root of a square matrix • Hypernyms: ↑value …

    Useful english dictionary

  • 2eigenvalue of a square matrix — noun (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant • Syn: ↑eigenvalue, ↑eigenvalue of a matrix, ↑characteristic root of a square matrix • Hypernyms: ↑value …

    Useful english dictionary

  • 3Eigenvalue perturbation — is a perturbation approach to finding eigenvalues and eigenvectors of systems perturbed from one with known eigenvectors and eigenvalues. It also allows one to determine the sensitivity of the eigenvalues and eigenvectors with respect to changes… …

    Wikipedia

  • 4Eigenvalue, eigenvector and eigenspace — In mathematics, given a linear transformation, an Audio|De eigenvector.ogg|eigenvector of that linear transformation is a nonzero vector which, when that transformation is applied to it, changes in length, but not direction. For each eigenvector… …

    Wikipedia

  • 5Eigenvalue algorithm — In linear algebra, one of the most important problems is designing efficient and stable algorithms for finding the eigenvalues of a matrix. These eigenvalue algorithms may also find eigenvectors. Contents 1 Characteristic polynomial 2 Power… …

    Wikipedia

  • 6Matrix mechanics — Quantum mechanics Uncertainty principle …

    Wikipedia

  • 7Matrix pencil — If are complex matrices for some nonnegative integer l, and (the zero matrix), then the matrix pencil of degree l is the matrix valued function defined on the complex numbers A particular case is a linear matrix pencil …

    Wikipedia

  • 8Matrix decomposition — In the mathematical discipline of linear algebra, a matrix decomposition is a factorization of a matrix into some canonical form. There are many different matrix decompositions; each finds use among a particular class of problems. Contents 1… …

    Wikipedia

  • 9Matrix differential equation — A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and of its derivatives of various orders. A matrix differential equation is one containing more… …

    Wikipedia

  • 10Matrix (mathematics) — Specific elements of a matrix are often denoted by a variable with two subscripts. For instance, a2,1 represents the element at the second row and first column of a matrix A. In mathematics, a matrix (plural matrices, or less commonly matrixes)… …

    Wikipedia