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

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Lexicographical Neighbors of Diagonal Matrix

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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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