IMatrixPatternsIsUpperHessenberg Property

bool IsUpperHessenberg { get; }

ReadOnly Property IsUpperHessenberg As Boolean
	Get

property bool IsUpperHessenberg {
	bool get ();
}

abstract IsUpperHessenberg : bool with get

Property Value

A matrix is upper Hessenberg if it is square and has zero entries below its first sub-diagonal.

Let be a matrix, and consider its generic entry



where and are the number of rows and columns of , respectively.

If , the matrix has sub-diagonals: for , the -th sub-diagonal is the collection of entries corresponding to the positions

Hence IsUpperHessenberg returns true if and whenever .

Reference

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