Class DoubleComplexTriDiagMatrix represents a tridiagonal matrix of double-precision complex numbers. A tridiagonal matrix is a matrix which has all its non-zero entries on the main diagonal, the super diagonal, and the subdiagonal.

Namespace:  CenterSpace.NMath.Matrix
Assembly:  NMath (in NMath.dll) Version: 5.1.0.0

Syntax

C#
[SerializableAttribute]
public class DoubleComplexTriDiagMatrix : ICloneable
Visual Basic (Declaration)
<SerializableAttribute> _
Public Class DoubleComplexTriDiagMatrix _
	Implements ICloneable
Visual C++
[SerializableAttribute]
public ref class DoubleComplexTriDiagMatrix : ICloneable

Remarks

The element in the ith row, jth column is defined to be zero whenever j - i > 1. or i - j > 1.
The matrix is stored in a vector column by column. Zero elements are not stored. There are some blank entries in the data vector so the each column takes up the same number of elements, 3, in the vector. For example, the following 8 by 8 matrix,
CopyC#
    | a11 a12 0   0   0   0   0   0   |
    | a21 a22 a23 0   0   0   0   0   |
    | 0   a32 a33 a34 0   0   0   0   |
A = | 0   0   a43 a44 a45 0   0   0   |
    | 0   0   0   a54 a55 a56 0   0   |
    | 0   0   0   0   a65 a66 a67 0   |
    | 0   0   0   0   0   a76 a77 a78 |
    | 0   0   0   0   0   0   a87 a88 |
 is stored in a data vector v as
CopyC#
v = [x   a11 a21 
     a12 a22 a32 
     a23 a33 a43
     a34 a44 a54
     a45 a55 a65
     a56 a66 a67
     a67 a77 a87
     a78 a88 x ]
 where x denotes an unused location.

Inheritance Hierarchy

System..::.Object
  CenterSpace.NMath.Matrix..::.DoubleComplexTriDiagMatrix

See Also