![]() | FloatHermitianBandMatrix Class |
Namespace: CenterSpace.NMath.Core
The FloatHermitianBandMatrix type exposes the following members.
Name | Description | |
---|---|---|
![]() | FloatHermitianBandMatrix(FloatComplexBandMatrix) |
Constructs a FloatHermitianBandMatrix instance from a square banded matrix.
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![]() | FloatHermitianBandMatrix(FloatComplexTriDiagMatrix) |
Constructs a FloatHermitianBandMatrix instance from a square tridiagonal matrix.
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![]() | FloatHermitianBandMatrix(Int32, Int32) |
Constructs a FloatHermitianBandMatrix instance with the specified number of rows, columns,
and half bandwidth.
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![]() | FloatHermitianBandMatrix(FloatComplexMatrix, Int32) |
Constructs a FloatHermitianBandMatrix instance by extracting the Hermitian part of
a band of entries from a square matrix.
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![]() | FloatHermitianBandMatrix(FloatComplexVector, Int32, Int32) |
Constructs a FloatHermitianBandMatrix instance with the specified dimensions and
half bandwidth using the data in the passed vector.
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Name | Description | |
---|---|---|
![]() | Bandwidth |
Gets the bandwidth of the matrix.
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![]() | Cols |
Gets the number of columns in the matrix.
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![]() | DataVector |
Gets the data vector referenced by this matrix.
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![]() | HalfBandwidth |
Gets the half bandwidth of the matrix.
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![]() | Item |
Gets and sets the value at the specified position.
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![]() | Order |
Gets the order of the matrix (the number of rows and columns).
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![]() | Rows |
Gets the number of rows in the matrix.
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Name | Description | |
---|---|---|
![]() ![]() | Add |
Adds two banded matrices.
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![]() | Clone |
Creates a deep copy of this matrix.
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![]() | DeepenThisCopy |
Guarantees that there is only one reference to the underlying
data and that this data is in contiguous storage.
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![]() ![]() | Divide(FloatComplex, FloatHermitianBandMatrix) |
Divides a scalar by the non-zero elements of a banded matrix.
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![]() ![]() | Divide(FloatHermitianBandMatrix, FloatComplex) |
Divides the non-zero elements of a banded matrix by a scalar.
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![]() ![]() | Divide(FloatHermitianBandMatrix, FloatHermitianBandMatrix) |
Divides a banded matrix by another.
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![]() | 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.
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![]() | LeadingSubmatrix |
Returns the k by k upper left corner of the matrix.
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![]() | MakeDiagonalReal |
Sets the imaginary parts on the main diagonal to zero thereby meeting the strict
definition of an Hermitian banded matrix.
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![]() ![]() | Multiply(FloatComplex, FloatHermitianBandMatrix) |
Multiplies the non-zero elements of a banded matrix by a scalar.
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![]() ![]() | Multiply(FloatHermitianBandMatrix, FloatComplex) |
Multiplies the non-zero elements of a banded matrix and a scalar.
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![]() ![]() | Multiply(FloatHermitianBandMatrix, FloatHermitianBandMatrix) |
Multiplies two banded matrices.
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![]() ![]() | Negate |
Negation operator.
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![]() | Resize(Int32) |
Changes the dimensions of this matrix to those specified, adding
zeros or truncating as necessary.
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![]() | Resize(Int32, Int32) |
Changes the dimensions and half bandwidth of this matrix to those specified,
adding zeros or truncating as necessary.
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![]() | ShallowCopy |
Creates a shallow copy of this matrix.
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![]() ![]() | Subtract |
Subtracts two banded matrices.
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![]() | ToGeneralMatrix |
Converts this banded Hermitian matrix to a general matrix.
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![]() ![]() | 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.
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![]() ![]() | ToTabDelimited |
Returns a formatted string representation of this matrix using tabs
and newlines.
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![]() ![]() | 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.
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![]() ![]() | Division(FloatComplex, FloatHermitianBandMatrix) |
Divides a scalar by the non-zero elements of a Hermitian banded matrix.
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![]() ![]() | Division(FloatHermitianBandMatrix, FloatComplex) |
Divides the non-zero elements of a Hermitian banded matrix by a scalar.
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![]() ![]() | Division(FloatHermitianBandMatrix, FloatHermitianBandMatrix) |
Divides a Hermitian banded matrix by another.
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![]() ![]() | 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.
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![]() ![]() | (FloatSymBandMatrix to FloatHermitianBandMatrix) |
Implicitly converts a FloatSymBandMatrix instance into a FloatHermitianBandMatrix
instance.
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![]() ![]() | 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.
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![]() ![]() | Multiply(FloatComplex, FloatHermitianBandMatrix) |
Multiplies the non-zero elements of a Hermitian banded matrix by a scalar.
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![]() ![]() | Multiply(FloatHermitianBandMatrix, FloatComplex) |
Multiplies the non-zero elements of a Hermitian banded matrix and a scalar.
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![]() ![]() | Multiply(FloatHermitianBandMatrix, FloatHermitianBandMatrix) |
Multiplies two Hermitian banded matrices.
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![]() ![]() | Subtraction |
Subtracts two Hermitian banded matrices.
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![]() ![]() | UnaryNegation |
Negation operator.
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![]() ![]() | UnaryPlus |
Unary + operator. Just returns the input matrix.
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| 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 ]