DoubleMatrixIsTridiagonal Property

public bool IsTridiagonal { get; }

Public ReadOnly Property IsTridiagonal As Boolean
	Get

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

abstract IsTridiagonal : bool with get
override IsTridiagonal : bool with get

Property Value

Implements

A matrix is tridiagonal if it is square and has zero entries outside its main diagonal and its first sub and super diagonals.

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

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

Hence IsTridiagonal returns true if and whenever or .

Reference

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