Diagonalization

Diagonalization

In mathematics, diagonalization may refer to:

  • Diagonal matrix, which is in a form with nonzero entries only on the main diagonal
  • Diagonalizable matrix, which can be put into a form with nonzero entries only on the main diagonal
  • Diagonal lemma, used to create self-referential sentences in formal logic
  • Diagonal argument (disambiguation), various
  • Cantor's diagonal argument, used to prove that the set of real numbers is not countable

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  • diagonalization — diagonalizavimas statusas T sritis fizika atitikmenys: angl. diagonalization vok. Diagonalisation, f; Diagonalisierung, f rus. диагонализация, f pranc. diagonalisation, f …   Fizikos terminų žodynas

  • diagonalization — noun changing a square matrix to diagonal form (with all non zero elements on the principal diagonal) the diagonalization of a normal matrix by a unitary transformation • Syn: ↑diagonalisation • Derivationally related forms: ↑diagonalise (for:… …   Useful english dictionary

  • diagonalization — noun see diagonalize …   New Collegiate Dictionary

  • diagonalization — di·ag·o·nal·iza·tion …   English syllables

  • Orthogonal diagonalization — In linear algebra, an orthogonal diagonalization of a square matrix is a diagonalization by means of an orthogonal change of coordinates. The following is an orthogonal diagonalization algorithm that diagonalizes a quadratic form q(x) on Rn by… …   Wikipedia

  • Diagonalizable matrix — In linear algebra, a square matrix A is called diagonalizable if it is similar to a diagonal matrix, i.e., if there exists an invertible matrix P such that P −1AP is a diagonal matrix. If V is a finite dimensional vector space, then a linear …   Wikipedia

  • Positive-definite matrix — In linear algebra, a positive definite matrix is a matrix that in many ways is analogous to a positive real number. The notion is closely related to a positive definite symmetric bilinear form (or a sesquilinear form in the complex case). The… …   Wikipedia

  • N-Electron Valence state Perturbation Theory — In quantum chemistry, N Electron Valence state Perturbation Theory (NEVPT) is a perturbative treatment applicable to multireference CASCI type wavefunctions. It can be considered as a generalization of the well known second order Møller Plesset… …   Wikipedia

  • n-electron valence state perturbation theory — In quantum chemistry, n electron valence state perturbation theory (NEVPT) is a perturbative treatment applicable to multireference CASCI type wavefunctions. It can be considered as a generalization of the well known second order Møller Plesset… …   Wikipedia

  • diagonalisation — noun changing a square matrix to diagonal form (with all non zero elements on the principal diagonal) the diagonalization of a normal matrix by a unitary transformation • Syn: ↑diagonalization • Derivationally related forms: ↑diagonalise,… …   Useful english dictionary

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