ToUpperHessenberg
Makes a matrix upper Hessenberg.
Syntax
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ToUpperHessenberg(A)-
Ais a matrix
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Description
If A is a matrix, not necessarily square, then ToUpperHessenberg(A) returns the matrix obtained from A by setting all entries below the main subdiagonal to 0.
Examples
A ≔ ❨❨5, 1, 2, 3, 6❩, ❨1, 2, 3, 6, 7❩, ❨4, 1, 2, 3, 8❩, ❨0, 1, 2, 6, 1❩❩
⎛5 1 2 3 6⎞ ⎜1 2 3 6 7⎟ ⎜4 1 2 3 8⎟ ⎝0 1 2 6 1⎠
ToUpperHessenberg(A)
⎛5 1 2 3 6⎞ ⎜1 2 3 6 7⎟ ⎜0 1 2 3 8⎟ ⎝0 0 2 6 1⎠