Definition of Diagonalization

1. 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"

Exact synonyms: Diagonalisation
Generic synonyms: Resolution, Resolving
Category relationships: Matrix Algebra
Derivative terms: Diagonalise, Diagonalize

Definition of Diagonalization

1. Noun. (alternative spelling of diagonalisation) ¹

¹ Source: wiktionary.com

Definition of Diagonalization

1. [n -S]

Lexicographical Neighbors of Diagonalization

diagonal element
diagonal elements
diagonal matrix
diagonal section
diagonalis stria
diagonalisability
diagonalisation
diagonalisations
diagonalise
diagonalised
diagonalises
diagonalising
diagonalizability
diagonalizable
diagonalization (current term)
diagonalizations
diagonalize
diagonalized
diagonalizes
diagonalizing
diagonally
diagonals
diagonial
diagram
diagram chase
diagram chases
diagram chasing
diagramed
diagraming

Literary usage of Diagonalization

Below you will find example usage of this term as found in modern and/or classical literature:

1. Proceedings of the Cambridge Philosophical Society by Cambridge Philosophical Society (1843)
"However, the self-Hermitian conjugate W cannot be entirely removed by a diagonalization, for after diagonalization the matrix elements may be + 1 or — 1 . ..."

2. Convex Optimization & Euclidean Distance Geometry by Jon Dattorro (2005)
"... Eigenvalue signs of a symmetric matrix having diagonalization A = SAST (1193) can be absorbed either into real U or real Q from the full SVD; [237, p. ..."

3. Perspectives on Nuclear Data for the Next Decade: P(ND)^2 : Workshop by E. Bauge, OECD Nuclear Energy Agency (2006)
"... Mg 10 15 (MeV) 10 15 Figure 1: Comparison of exact level density (from complete diagonalization of shell-model Hamiltonian) with Fermi gas model, ..."

4. Journal of the American Chemical Society by American Chemical Society (1879)
"The principal values and direction cosines with respect to the a, b, and c' reference system derived by diagonalization of this tensor are given in Table II ..."

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