IMatrixPatternsIsLowerHessenberg Property

bool IsLowerHessenberg { get; }

ReadOnly Property IsLowerHessenberg As Boolean
	Get

property bool IsLowerHessenberg {
	bool get ();
}

abstract IsLowerHessenberg : bool with get

Property Value

A matrix is lower Hessenberg if it square and has zero entries above its first super-diagonal.

Let be a matrix, and consider its generic entry



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

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

Hence IsLowerHessenberg returns true if and whenever .

Reference

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