 | FloatUpperTriMatrix Class |
Class FloatUpperTriMatrix represents an upper triangular matrix of single-precision
floating point values. 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: 7.3
SyntaxThe FloatUpperTriMatrix type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | FloatUpperTriMatrix(Int32) |
Constructs a square FloatUpperTriMatrix instance with the specified
size. All elements are initialized to zero.
|
| FloatUpperTriMatrix(FloatMatrix) |
Constructs a square FloatUpperTriMatrix instance by extracting the upper triangular
part of a square general matrix.
|
| FloatUpperTriMatrix(FloatSymmetricMatrix) |
Constructs a square FloatUpperTriMatrix instance by extracting the upper
triangular part of a symmetric matrix.
|
| FloatUpperTriMatrix(FloatVector) |
Constructs a square FloatUpperTriMatrix instance using the data in the given
vector.
|
| FloatUpperTriMatrix(FloatMatrix, Int32) |
Constructs a square FloatUpperTriMatrix instance by extracting the upper
triangular part of the specified leading square submatrix of a
general matrix.
|
| FloatUpperTriMatrix(FloatVector, Int32) |
Constructs a square FloatUpperTriMatrix 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(Single, FloatUpperTriMatrix) |
Adds a scalar and an upper triangular matrix.
|
| Add(FloatUpperTriMatrix, FloatUpperTriMatrix) |
Adds two upper triangular matrices.
|
| Add(FloatUpperTriMatrix, Single) |
Adds an upper triangular matrix and a scalar.
|
| 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(Single, FloatUpperTriMatrix) |
Divide a scalar by an upper triangular matrix.
|
| Divide(FloatUpperTriMatrix, FloatUpperTriMatrix) |
Divide an upper triangular matrix by another.
|
| Divide(FloatUpperTriMatrix, Single) |
Divide an upper triangular matrix by a scalar.
|
| 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(Single, FloatUpperTriMatrix) |
Multiply a scalar and an upper triangular matrix.
|
| Multiply(FloatUpperTriMatrix, FloatUpperTriMatrix) |
Multiply two upper triangular matrices.
|
| Multiply(FloatUpperTriMatrix, Single) |
Multiply an upper triangular matrix and a scalar.
|
| 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(Single, FloatUpperTriMatrix) |
Subtracts an upper triangular matrix from a scalar.
|
| Subtract(FloatUpperTriMatrix, FloatUpperTriMatrix) |
Subtracts one upper triangular matrix from another.
|
| Subtract(FloatUpperTriMatrix, Single) |
Subtracts a scalar from an upper triangular matrix.
|
 | ToCommaSeparated |
Returns a formatted string representation of this matrix using tabs
and newlines.
|
| ToCommaSeparated(String) |
Returns a formatted string representation of this matrix using tabs
and newlines. Numbers are formatted using the specified format string.
|
| 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(Single, FloatUpperTriMatrix) |
Adds a scalar and an upper triangular matrix.
|
| Addition(FloatUpperTriMatrix, FloatUpperTriMatrix) |
Adds two upper triangular matrices.
|
| Addition(FloatUpperTriMatrix, Single) |
Adds an upper triangular matrix and a scalar.
|
| Division(Single, FloatUpperTriMatrix) |
Divide a scalar by an upper triangular matrix.
|
| Division(FloatUpperTriMatrix, FloatUpperTriMatrix) |
Divide an upper triangular matrix by another.
|
| Division(FloatUpperTriMatrix, Single) |
Divide an upper triangular matrix by a scalar.
|
| Equality |
Tests for equality of two upper triangular matrices. Two matrices are equal if they
have the same dimensions and all values are equal.
|
| Inequality |
Tests for inequality of two upper triangular matrices. Two matrices are equal if they
have the same dimensions and all values are equal.
|
| Multiply(Single, FloatUpperTriMatrix) |
Multiply a scalar and an upper triangular matrix.
|
| Multiply(FloatUpperTriMatrix, FloatUpperTriMatrix) |
Multiply two upper triangular matrices.
|
| Multiply(FloatUpperTriMatrix, Single) |
Multiply an upper triangular matrix and a scalar.
|
| Subtraction(Single, FloatUpperTriMatrix) |
Subtracts an upper triangular matrix from a scalar.
|
| Subtraction(FloatUpperTriMatrix, FloatUpperTriMatrix) |
Subtracts one upper triangular matrix from another.
|
| Subtraction(FloatUpperTriMatrix, Single) |
Subtracts a scalar from an upper triangular matrix.
|
| UnaryNegation |
Negation operator.
|
| UnaryPlus |
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].
| 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 |v = [a00 a01 a11 a02 a12 a22 a03 a13 a23 a33 a04 a14 a24 a34 a44 ]
See Also