 | Float |
Class FloatComplexUpperTriMatrix represents an upper triangular matrix of single-precision
complex numbers. An upper triangular matrix is a square matrix with all elements
below the main diagonal equal to zero.
Inheritance HierarchyNamespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4
SyntaxThe FloatComplexUpperTriMatrix type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | FloatComplexUpperTriMatrix(FloatComplexMatrix) | Constructs a square FloatComplexUpperTriMatrix instance by extracting the upper triangular part of a square general matrix. |
| FloatComplexUpperTriMatrix(FloatComplexVector) | Constructs a square FloatComplexUpperTriMatrix instance using the data in the given vector. |
| FloatComplexUpperTriMatrix(FloatHermitianMatrix) | Constructs a square FloatComplexUpperTriMatrix instance by extracting the upper triangular part of an Hermitian matrix. |
| FloatComplexUpperTriMatrix(Int32) | Constructs a square FloatComplexUpperTriMatrix instance with the specified size. All elements are initialized to zero. |
| FloatComplexUpperTriMatrix(FloatComplexMatrix, Int32) | Constructs a square FloatComplexUpperTriMatrix instance by extracting the upper triangular part of the specified leading square submatrix of a general matrix. |
| FloatComplexUpperTriMatrix(FloatComplexVector, Int32) | Constructs a square FloatComplexUpperTriMatrix instance with the specified size, and using the data in the given vector. |
Properties| Name | Description | |
|---|---|---|
 | Cols | Gets the number of columns in the matrix. |
| DataVector | Gets the data vector referenced by this matrix. |
| Item | Gets and sets the value at the specified position. Zero matrix elements are not stored, so assigning a non-zero value to a matrix element above the diagonal of the matrix raises an exception. |
| Order | Gets the order of the matrix. |
| Rows | Gets the number of rows in the matrix. |
Methods| Name | Description | |
|---|---|---|
 | Add(FloatComplex, FloatComplexUpperTriMatrix) | Adds a scalar and an upper triangular matrix. |
| Add(FloatComplexUpperTriMatrix, FloatComplex) | Adds an upper triangular matrix and a scalar. |
| Add(FloatComplexUpperTriMatrix, FloatComplexUpperTriMatrix) | Adds two upper triangular 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(FloatComplex, FloatComplexUpperTriMatrix) | Divide a scalar by an upper triangular matrix. |
| Divide(FloatComplexUpperTriMatrix, FloatComplex) | Divide an upper triangular matrix by a scalar. |
| Divide(FloatComplexUpperTriMatrix, FloatComplexUpperTriMatrix) | Divide an upper triangular matrix by another. |
| Equals |
Tests for equality of this matrix and another matrix.
Two matrices are equal if they have the same dimensions
and all values are equal.
(Overrides ObjectEquals(Object)) |
| GetHashCode |
Returns an integer hash code for this matrix.
(Overrides ObjectGetHashCode) |
| LeadingSubmatrix | Returns the k by k upper left corner of the matrix. The matrix and the submatrix share the same data. |
| Multiply(FloatComplex, FloatComplexUpperTriMatrix) | Multiply a scalar and an upper triangular matrix. |
| Multiply(FloatComplexUpperTriMatrix, FloatComplex) | Multiply an upper triangular matrix and a scalar. |
| Multiply(FloatComplexUpperTriMatrix, FloatComplexUpperTriMatrix) | Multiply two upper triangular matrices. |
| Negate | Negation operator. |
| OnDeserialized | Checks that the matrix is square following deserialization |
| Resize | Changes the order of this matrix to that specified, adding zeros or truncating as necessary. |
| ShallowCopy | Creates a shallow copy of this matrix. |
| Subtract(FloatComplex, FloatComplexUpperTriMatrix) | Subtracts an upper triangular matrix from a scalar. |
| Subtract(FloatComplexUpperTriMatrix, FloatComplex) | Subtracts a scalar from an upper triangular matrix. |
| Subtract(FloatComplexUpperTriMatrix, FloatComplexUpperTriMatrix) | Subtracts one upper triangular matrix from another. |
| ToGeneralMatrix | Converts this triangular 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 this matrix. |
Operators| Name | Description | |
|---|---|---|
 | Addition(FloatComplex, FloatComplexUpperTriMatrix) | Adds a scalar and an upper triangular matrix. |
| Addition(FloatComplexUpperTriMatrix, FloatComplex) | Adds an upper triangular matrix and a scalar. |
| Addition(FloatComplexUpperTriMatrix, FloatComplexUpperTriMatrix) | Adds two upper triangular matrices. |
| Division(FloatComplex, FloatComplexUpperTriMatrix) | Divide a scalar by an upper triangular matrix. |
| Division(FloatComplexUpperTriMatrix, FloatComplex) | Divide an upper triangular matrix by a scalar. |
| Division(FloatComplexUpperTriMatrix, FloatComplexUpperTriMatrix) | Divide an upper triangular matrix by another. |
| Equality(FloatComplexUpperTriMatrix, FloatComplexUpperTriMatrix) | Tests for equality of two upper triangular matrices. Two matrices are equal if they have the same dimensions and all values are equal. |
| (FloatUpperTriMatrix to FloatComplexUpperTriMatrix) | Implicitly converts a FloatUpperTriMatrix instance into a FloatComplexUpperTriMatrix instance. |
| Inequality(FloatComplexUpperTriMatrix, FloatComplexUpperTriMatrix) | Tests for inequality of two upper triangular matrices. Two matrices are equal if they have the same dimensions and all values are equal. |
| Multiply(FloatComplex, FloatComplexUpperTriMatrix) | Multiply a scalar and an upper triangular matrix. |
| Multiply(FloatComplexUpperTriMatrix, FloatComplex) | Multiply an upper triangular matrix and a scalar. |
| Multiply(FloatComplexUpperTriMatrix, FloatComplexUpperTriMatrix) | Multiply two upper triangular matrices. |
| Subtraction(FloatComplex, FloatComplexUpperTriMatrix) | Subtracts an upper triangular matrix from a scalar. |
| Subtraction(FloatComplexUpperTriMatrix, FloatComplex) | Subtracts a scalar from an upper triangular matrix. |
| Subtraction(FloatComplexUpperTriMatrix, FloatComplexUpperTriMatrix) | Subtracts one upper triangular matrix from another. |
| UnaryNegation(FloatComplexUpperTriMatrix) | Negation operator. |
| UnaryPlus(FloatComplexUpperTriMatrix) | Unary + operator. Just returns the input matrix. |
Remarks
The matrix is stored in a vector column by column. For efficiency, zero elements are not stored.
For example, the following 5 by 5 upper triangular matrix:
is stored in a data vector v as:
In general, A[i,j] = v[j(j+1)/2 + i].
C#
| a00 a01 a02 a03 a04 |
| 0 a11 a12 a13 a14 |
A = | 0 0 a22 a23 a24 |
| 0 0 0 a33 a34 |
| 0 0 0 0 a44 |C#
v = [a00 a01 a11 a02 a12 a22 a03 a13 a23 a33 a04 a14 a24 a34 a44 ]
See Also