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.
j i - 7 7 6 - - 1 1 - - - 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 (one-based indexing).
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Entry modified 17 December 2004.
HTML page formatted Fri Mar 25 16:20:35 2011.
Cite this as:
Paul E. Black, "strictly upper triangular matrix", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed., U.S. National Institute of Standards and Technology. 17 December 2004. (accessed TODAY) Available from: http://www.nist.gov/dads/HTML/strictlyUpperTriangMat.html