ComplexMatrixIsUpperTriangular Property

public bool IsUpperTriangular { get; }

Public ReadOnly Property IsUpperTriangular As Boolean
	Get

public:
virtual property bool IsUpperTriangular {
	bool get () sealed;
}

abstract IsUpperTriangular : bool with get
override IsUpperTriangular : bool with get

Property Value

Implements

A matrix is upper triangular if it is square and the entries on its sub-diagonals are zero.

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 IsUpperTriangular returns true if and whenever .

Reference

Other Resources