DoubleHermitianBandMatrix Class 
Namespace: CenterSpace.NMath.Core
The DoubleHermitianBandMatrix type exposes the following members.
Name  Description  

DoubleHermitianBandMatrix(DoubleComplexBandMatrix) 
Constructs a DoubleHermitianBandMatrix instance from a square banded matrix.
 
DoubleHermitianBandMatrix(DoubleComplexTriDiagMatrix) 
Constructs a DoubleHermitianBandMatrix instance from a square tridiagonal matrix.
 
DoubleHermitianBandMatrix(Int32, Int32) 
Constructs a DoubleHermitianBandMatrix instance with the specified number of rows, columns,
and half bandwidth.
 
DoubleHermitianBandMatrix(DoubleComplexMatrix, Int32) 
Constructs a DoubleHermitianBandMatrix instance by extracting the Hermitian part of
a band of entries from a square matrix.
 
DoubleHermitianBandMatrix(DoubleComplexVector, Int32, Int32) 
Constructs a DoubleHermitianBandMatrix instance with the specified dimensions and
half bandwidth using the data in the passed vector.

Name  Description  

Bandwidth 
Gets the bandwidth of the matrix.
 
Cols 
Gets the number of columns in the matrix.
 
DataVector 
Gets the data vector referenced by this matrix.
 
HalfBandwidth 
Gets the half bandwidth of the matrix.
 
Item 
Gets and sets the value at the specified position.
 
Order 
Gets the order of the matrix (the number of rows and columns).
 
Rows 
Gets the number of rows in the matrix.

Name  Description  

Add 
Adds two banded matrices.
 
Clone 
Creates a deep copy of this matrix.
 
DeepenThisCopy 
Guarantees that there is only one reference to the underlying
data and that this data is in contiguous storage.
 
Divide(DoubleComplex, DoubleHermitianBandMatrix) 
Divides a scalar by the nonzero elements of a banded matrix.
 
Divide(DoubleHermitianBandMatrix, DoubleComplex) 
Divides the nonzero elements of a banded matrix by a scalar.
 
Divide(DoubleHermitianBandMatrix, DoubleHermitianBandMatrix) 
Divides a banded matrix by another.
 
Equals 
Tests for equality of this matrix and another matrix.
Two matrices are equal if they have the same dimensions, upper bandwidth
and all values are equal.
(Overrides ObjectEquals(Object).)  
GetHashCode 
Returns an integer hash code for this matrix.
(Overrides ObjectGetHashCode.)  
IsDiagonalReal 
Determines if the main diagonal elements are real values.
 
LeadingSubmatrix 
Returns the k by k upper left corner of the matrix.
 
MakeDiagonalReal 
Sets the imaginary parts on the main diagonal to zero thereby meeting the strict
definition of an Hermitian banded matrix.
 
Multiply(DoubleComplex, DoubleHermitianBandMatrix) 
Multiplies the nonzero elements of a banded matrix by a scalar.
 
Multiply(DoubleHermitianBandMatrix, DoubleComplex) 
Multiplies the nonzero elements of a banded matrix and a scalar.
 
Multiply(DoubleHermitianBandMatrix, DoubleHermitianBandMatrix) 
Multiplies two banded matrices.
 
Negate 
Negation operator.
 
Resize(Int32) 
Changes the dimensions of this matrix to those specified, adding
zeros or truncating as necessary.
 
Resize(Int32, Int32) 
Changes the dimensions and half bandwidth of this matrix to those specified,
adding zeros or truncating as necessary.
 
ShallowCopy 
Creates a shallow copy of this matrix.
 
Subtract 
Subtracts two banded matrices.
 
ToGeneralMatrix 
Converts this banded Hermitian matrix to a general matrix.
 
ToString 
Returns a formatted string representation of this matrix.
(Overrides ObjectToString.)  
ToString(String) 
Returns a formatted string representation of this matrix. Numbers are displayed
using the specified format.
 
ToTabDelimited 
Returns a formatted string representation of this matrix using tabs
and newlines.
 
ToTabDelimited(String) 
Returns a formatted string representation of this matrix using tabs
and newlines. Numbers are formatted using the specified format string.
 
Transpose 
Transposes the matrix.

Name  Description  

Addition 
Adds two Hermitian banded matrices.
 
Division(DoubleComplex, DoubleHermitianBandMatrix) 
Divides a scalar by the nonzero elements of a Hermitian banded matrix.
 
Division(DoubleHermitianBandMatrix, DoubleComplex) 
Divides the nonzero elements of a Hermitian banded matrix by a scalar.
 
Division(DoubleHermitianBandMatrix, DoubleHermitianBandMatrix) 
Divides a Hermitian banded matrix by another.
 
Equality 
Tests for equality of two Hermitian banded matrices. Two matrices are equal if they
have the same dimensions, and half bandwidth, and all values are equal.
 
(DoubleSymBandMatrix to DoubleHermitianBandMatrix) 
Implicitly converts a DoubleSymBandMatrix instance into a DoubleHermitianBandMatrix
instance.
 
Inequality 
Tests for equality of two Hermitian banded matrices. Two matrices are equal if they
have the same dimensions, and half bandwidths, and all values are equal.
 
Multiply(DoubleComplex, DoubleHermitianBandMatrix) 
Multiplies the nonzero elements of a Hermitian banded matrix by a scalar.
 
Multiply(DoubleHermitianBandMatrix, DoubleComplex) 
Multiplies the nonzero elements of a Hermitian banded matrix and a scalar.
 
Multiply(DoubleHermitianBandMatrix, DoubleHermitianBandMatrix) 
Multiplies two Hermitian banded matrices.
 
Subtraction 
Subtracts two Hermitian banded matrices.
 
UnaryNegation 
Negation operator.
 
UnaryPlus 
Unary + operator. Just returns the input matrix.

 a11 a12 a13 0 0 0 0 0 0   a12 a22 a23 a24 0 0 0 0 0   a13 a23 a33 a34 a35 0 0 0 0  A =  0 a24 a34 a44 a45 a46 0 0 0   0 0 a35 a45 a55 a56 a57 0 0   0 0 0 a46 a56 a66 a67 a68 0   0 0 0 0 a57 a67 a77 a78 a79   0 0 0 0 0 a68 a78 a88 a89   0 0 0 0 0 0 a79 a89 a99 
v = [x x a11 x a12 a22 a13 a23 a33 a24 a34 a44 a35 a45 a55 a46 a56 a66 a57 a67 a77 a68 a78 a88 a79 a89 a99 ]