NIST

strictly upper triangular matrix

(data structure)

Definition: A matrix that is only defined at (i,j) when i < j.

Generalization (I am a kind of ...)
upper triangular matrix.

See also strictly lower triangular matrix, ragged matrix.

Note: For example

j
i -776
--11
---8
----

It may be more compactly represented in an array by storing entry (i,j) in location n(i-1) + j - i(i-1)/2 - i = (2n-i)(i-1)/2 - i + j (1-based indexing).

Author: PEB


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Entry modified 16 November 2016.
HTML page formatted Fri Feb 23 10:06:08 2018.

Cite this as:
Paul E. Black, "strictly upper triangular matrix", in Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 16 November 2016. (accessed TODAY) Available from: https://www.nist.gov/dads/HTML/strictlyUpperTriangMat.html