Definition of Diagonal matrix

1. Noun. A square matrix with all elements not on the main diagonal equal to zero.

Generic synonyms: Square Matrix
Specialized synonyms: Scalar Matrix

Definition of Diagonal matrix

1. Noun. (linear algebra) A matrix in which only the entries on the main diagonal are non-zero. ¹

¹ Source: wiktionary.com

Lexicographical Neighbors of Diagonal Matrix

diagnosticate
diagnosticated
diagnosticates
diagnosticating
diagnostician
diagnosticians
diagnostick
diagnostics
diagometer
diagometers
diagonal
diagonal element
diagonal elements
diagonal matrix (current term)
diagonal section
diagonalis stria
diagonalisability
diagonalisation
diagonalisations
diagonalise
diagonalised
diagonalises
diagonalising
diagonalizability
diagonalizable
diagonalization
diagonalizations
diagonalize

Literary usage of Diagonal matrix

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

1. Journal of the American Chemical Society by American Chemical Society (1879)
"(7) Here At is a diagonal matrix representing the optical rotatory contribution of bond i AI = diag(a„ «„*, a,-) (8) where a, (s = t, g+, ..."

2. Agricultural Growth and Structural Changes in the Punjab Economy: An Input by G. S. Bhalla (1990)
"Let us define R = (I + b - A)'1, (12) where b = a diagonal matrix of import coefficients m,, so that where M, is imports into the ith sector and X, ..."

3. Probability, Statistics, and Their Applications: Papers in Honor of Rabi by Rabindra Nath Bhattacharya, Krishna B. Athreya (2003)
"In place of the diagonal matrix D(0), we use instead the In x In diagonal matrix Di(0) = Diag(l,..., 1, e'e, 1,..., l,e~id, 1,..., 1) where e'e and e~te ..."

4. Sas/stat 9.1 User's Guide by SAS Institute, Virginia Clark (2004)
"DIA specifies a diagonal matrix; if the matrix is not square, this specification describes a diagonal submatrix followed by a rectangular zero submatrix. ..."

5. Game Theory, Optimal Stopping, Probability and Statistics: Papers in Honor by F. Thomas Bruss, (, Thomas Shelburne Ferguson, Lucien Marie Le Cam (2000)
"Thus Dj — Cjj, where Dj is the diagonal matrix with the univariate marginals of variable j on the diagonal. The KxK supermatrix C is known in the ..."

6. Strengthening Policy Analysis: Econometric Tests Using Microcomputer Software by Lawrence James Haddad, Daniel Driscoll (1995)
"Use these to form a diagonal matrix (zeros except on the diagonal), then invert the diagonal matrix and call this result S. Form the KxK matrix Z ..."

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