Symbolic upper triangle.
Syntax
triu(X)
triu(X, K)
Description
triu(X)
is the upper triangular part of X
.
triu(X, K)
returns an upper triangular matrix that retains the elements of X
on and above the k
-th diagonal and sets the remaining elements to 0. The values k=0
, k>0
, and k<0
correspond to the main, superdiagonals, and subdiagonals, respectively.
Examples
Suppose
A =
[ a, b, c ]
[ 1, 2, 3 ]
[ a+1, b+2, c+3 ]
Then triu(A)
returns
[ a, b, c ]
[ 0, 2, 3 ]
[ 0, 0, c+3 ]
triu(A,1)
returns
[ 0, b, c ]
[ 0, 0, 3 ]
[ 0, 0, 0 ]
triu(A,-1)
returns
[ a, b, c ]
[ 1, 2, 3 ]
[ 0, b+2, c+3 ]
See Also
diag
, tril
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