Definition of Diagonalisation

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

Definition of Diagonalisation

1. Noun. In matrix algebra, the process of converting a square matrix into a diagonal matrix, usually to find the eigenvalues of the matrix. ¹

¹ Source: wiktionary.com

Lexicographical Neighbors of Diagonalisation

diagnostician
diagnosticians
diagnostick
diagnostics
diagometer
diagometers
diagonal
diagonal element
diagonal elements
diagonal matrix
diagonal section
diagonalis stria
diagonalisability
diagonalisation (current term)
diagonalisations
diagonalise
diagonalised
diagonalises
diagonalising
diagonalizability
diagonalizable
diagonalization
diagonalizations
diagonalize
diagonalized
diagonalizes
diagonalizing
diagonally

Literary usage of Diagonalisation

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

1. In the Paradise of the Sufis by Javād Nūrbakhsh (1979)
"In practice, this minimisation is achieved through diagonalisation of a matrix, H, with elements ..."

2. Bose-Einstein Condensation: An Introduction edited by Keith Burnett, Mark Edwards, Charles W. Clark (1996)
"Moreover, after this diagonalisation the average density n and order parameter 40 are easily calculated and result in the equation of state and the BCS gap ..."

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