Hessenberg matrix

An upper Hessenberg matrix has zero entries below the first subdiagonal; the lower version has zero entries above the first superdiagonal. The upper Hessenberg matrix is one of these two forms.

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Upper Hessenberg matrix

An upper Hessenberg matrix has zero entries below its first subdiagonal:

a_{ij} = 0

whenever

i > j + 1

.

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A Hessenberg matrix is a special kind of square matrix that has zero entries below the first subdiagonal.

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