DoubleMatrixIsLowerBidiagonal Property

public bool IsLowerBidiagonal { get; }

Public ReadOnly Property IsLowerBidiagonal As Boolean
	Get

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

abstract IsLowerBidiagonal : bool with get
override IsLowerBidiagonal : bool with get

Property Value

Implements

A matrix is lower bidiagonal if it is square and has zero entries outside its main diagonal and its first sub-diagonal.

Let be a matrix, and consider its generic entry



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

The main diagonal of is also said the diagonal of order 0, and is the collection of entries such that .

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

Hence IsLowerBidiagonal returns true if and whenever or .

Reference

Other Resources