﻿DoubleComplexLowerTriMatrix Class

DoubleComplexLowerTriMatrix Class

Class DoubleComplexLowerTriMatrix represents a lower triangular matrix of double-precision complex numbers. A lower triangular matrix is a square matrix with all elements above the main diagonal equal to zero.
Inheritance Hierarchy
SystemObject
CenterSpace.NMath.CoreDoubleComplexLowerTriMatrix

Namespace:  CenterSpace.NMath.Core
Assembly:  NMath (in NMath.dll) Version: 7.4
Syntax
```[SerializableAttribute]
public class DoubleComplexLowerTriMatrix : ICloneable```

The DoubleComplexLowerTriMatrix type exposes the following members.

Constructors
NameDescription
DoubleComplexLowerTriMatrix(Int32)
Constructs a square DoubleComplexLowerTriMatrix instance with the specified size. All elements are initialized to zero.
DoubleComplexLowerTriMatrix(DoubleComplexMatrix)
Constructs a square DoubleComplexLowerTriMatrix instance by extracting the lower triangular part of a square general matrix.
DoubleComplexLowerTriMatrix(DoubleComplexVector)
Constructs a square DoubleComplexLowerTriMatrix instance using the data in the given vector.
DoubleComplexLowerTriMatrix(DoubleHermitianMatrix)
Constructs a square DoubleComplexLowerTriMatrix instance by extracting the lower triangular part of an Hermitian matrix.
DoubleComplexLowerTriMatrix(DoubleComplexMatrix, Int32)
Constructs a square DoubleComplexLowerTriMatrix instance by extracting the lower triangular part of the specified leading square submatrix of a general matrix.
DoubleComplexLowerTriMatrix(DoubleComplexVector, Int32)
Constructs a square DoubleComplexLowerTriMatrix instance with the specified size, and using the data in the given vector.
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Properties
NameDescription
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.
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Methods
NameDescription
Adds a scalar and a lower triangular matrix.
Adds a lower 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(DoubleComplex, DoubleComplexLowerTriMatrix)
Divide a scalar by a lower triangular matrix.
Divide(DoubleComplexLowerTriMatrix, DoubleComplex)
Divide a lower triangular matrix by a scalar.
Divide(DoubleComplexLowerTriMatrix, DoubleComplexLowerTriMatrix)
Divide a lower 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.)
Returns the k by k upper left corner of the matrix. The matrix and the submatrix share the same data.
Multiply(DoubleComplex, DoubleComplexLowerTriMatrix)
Multiply a scalar and a lower triangular matrix.
Multiply(DoubleComplexLowerTriMatrix, DoubleComplex)
Multiply a lower triangular matrix and a scalar.
Multiply(DoubleComplexLowerTriMatrix, DoubleComplexLowerTriMatrix)
Multiply two lower 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(DoubleComplex, DoubleComplexLowerTriMatrix)
Subtracts a lower triangular matrix from a scalar.
Subtract(DoubleComplexLowerTriMatrix, DoubleComplex)
Subtracts a scalar from a lower triangular matrix.
Subtract(DoubleComplexLowerTriMatrix, DoubleComplexLowerTriMatrix)
Subtracts one lower triangular matrix from another.
ToGeneralMatrix
Converts this triangular matrix to a general matrix.
ToString
Returns a formatted string representation of this matrix.

ToTabDelimited

ToTabDelimited(String)

(Overrides ObjectToString.)
ToString(String)
Returns a formatted string representation of this matrix. Numbers are displayed using the specified format.

ToTabDelimited

ToTabDelimited(String)

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.
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Operators
NameDescription
Adds a scalar and a lower triangular matrix.
Adds a lower triangular matrix and a scalar.
Division(DoubleComplex, DoubleComplexLowerTriMatrix)
Divide a scalar by a lower triangular matrix.
Division(DoubleComplexLowerTriMatrix, DoubleComplex)
Divide a lower triangular matrix by a scalar.
Division(DoubleComplexLowerTriMatrix, DoubleComplexLowerTriMatrix)
Divide a lower triangular matrix by another.
Equality
Tests for equality of two lower triangular matrices. Two matrices are equal if they have the same dimensions and all values are equal.
(DoubleLowerTriMatrix to DoubleComplexLowerTriMatrix)
Implicitly converts a DoubleLowerTriMatrix instance into a DoubleComplexLowerTriMatrix instance.
(FloatComplexLowerTriMatrix to DoubleComplexLowerTriMatrix)
Implicitly converts a FloatComplexLowerTriMatrix instance into a DoubleComplexLowerTriMatrix instance.
Inequality
Tests for inequality of two lower triangular matrices. Two matrices are equal if they have the same dimensions and all values are equal.
Multiply(DoubleComplex, DoubleComplexLowerTriMatrix)
Multiply a scalar and a lower triangular matrix.
Multiply(DoubleComplexLowerTriMatrix, DoubleComplex)
Multiply a lower triangular matrix and a scalar.
Multiply(DoubleComplexLowerTriMatrix, DoubleComplexLowerTriMatrix)
Multiply two lower triangular matrices.
Subtraction(DoubleComplex, DoubleComplexLowerTriMatrix)
Subtracts a lower triangular matrix from a scalar.
Subtraction(DoubleComplexLowerTriMatrix, DoubleComplex)
Subtracts a scalar from a lower triangular matrix.
Subtraction(DoubleComplexLowerTriMatrix, DoubleComplexLowerTriMatrix)
Subtracts one lower triangular matrix from another.
UnaryNegation
Negation operator.
UnaryPlus
Unary + operator. Just returns the input matrix.
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Remarks
The matrix is stored in a vector row by row. For efficiency, zero elements are not stored. For example, the following 5 by 5 lower triangular matrix:
```    | a00 0   0   0   0   |
| a10 a11 0   0   0   |
A = | a20 a21 a22 0   0   |
| a30 a31 a32 a33 0   |
| a40 a41 a42 a43 a44 |```
is stored in a data vector v as:
`v = [a00 a10 a11 a20 a21 a22 a30 a31 a32 a33 a40 a41 a42 a43 a44 ]`
In general, A[i,j] = v[i(i+1)/2 + j].