Class CompressedRow

Class defining a sparse matrix with a compressed row storage.

Inheritance

Object

Matrix

SparseMatrix

CompressedRow

Implements

IGroupAction<Matrix, Double>

IGroupAction<SparseMatrix, Double>

IGroupAction<CompressedRow, Double>

Inherited Members

SparseMatrix.Transpose(SparseMatrix)

SparseMatrix.Add(SparseMatrix, SparseMatrix)

SparseMatrix.Subtract(SparseMatrix, SparseMatrix)

SparseMatrix.Multiply(SparseMatrix, SparseMatrix)

SparseMatrix.TransposeMultiplySelf(SparseMatrix)

SparseMatrix.Multiply(SparseMatrix, Double)

SparseMatrix.Multiply(Double, SparseMatrix)

SparseMatrix.Divide(SparseMatrix, Double)

SparseMatrix.Multiply(SparseMatrix, Vector)

SparseMatrix.Multiply(SparseMatrix, DenseVector)

SparseMatrix.Multiply(SparseMatrix, SparseVector)

SparseMatrix.TransposeMultiply(SparseMatrix, Vector)

SparseMatrix.TransposeMultiply(SparseMatrix, DenseVector)

SparseMatrix.TransposeMultiply(SparseMatrix, SparseVector)

SparseMatrix.ToArray()

SparseMatrix.IGroupAction<SparseMatrix, Double>.Multiply(Double)

SparseMatrix.IGroupAction<SparseMatrix, Double>.Divide(Double)

Matrix.Transpose(Matrix)

Matrix.Add(Matrix, Matrix)

Matrix.Subtract(Matrix, Matrix)

Matrix.Opposite(Matrix)

Matrix.Multiply(Matrix, Matrix)

Matrix.TransposeMultiplySelf(Matrix)

Matrix.Multiply(Double, Matrix)

Matrix.Multiply(Matrix, Double)

Matrix.Divide(Matrix, Double)

Matrix.Multiply(Matrix, Vector)

Matrix.Multiply(Matrix, DenseVector)

Matrix.Multiply(Matrix, SparseVector)

Matrix.TransposeMultiply(Matrix, Vector)

Matrix.TransposeMultiply(Matrix, DenseVector)

Matrix.TransposeMultiply(Matrix, SparseVector)

Matrix.IGroupAction<Matrix, Double>.Multiply(Double)

Matrix.IGroupAction<Matrix, Double>.Divide(Double)

Namespace: BRIDGES.LinearAlgebra.Matrices.Sparse

Assembly: BRIDGES.dll

Syntax

public class CompressedRow : SparseMatrix, IGroupAction<Matrix, double>, IGroupAction<SparseMatrix, double>, IGroupAction<CompressedRow, double>

Constructors

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CompressedRow(CompressedRow)

Initialises a new instance of the CompressedRow class from another CompressedRow.

Declaration

public CompressedRow(CompressedRow crs)

Parameters

Type	Name	Description
CompressedRow	crs	CompressedRow to deep copy.

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CompressedRow(Int32, Int32, DictionaryOfKeys)

Initialises a new instance of the CompressedRow class by defining its size, and by giving its values in a DictionaryOfKeys.

Declaration

public CompressedRow(int rowCount, int columnCount, DictionaryOfKeys dok)

Parameters

Type	Name	Description
Int32	rowCount	Number of rows of the CompressedRow.
Int32	columnCount	Number of columns of the CompressedRow.
DictionaryOfKeys	dok	Values of the CompressedRow.

Properties

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ColumnCount

Gets the number of columns in this matrix.

Declaration

public override int ColumnCount { get; }

Property Value

Type	Description
Int32

Overrides

Matrix.ColumnCount

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Item[Int32]

Gets or sets the non-zero value of this sparse matrix at a given index.

Declaration

public override double this[int index] { get; set; }

Parameters

Type	Name	Description
Int32	index	Index of the non-zero value to get.

Property Value

Type	Description
Double	The non-zero value of this sparse matrix at the given index.

Overrides

SparseMatrix.Item[Int32]

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NonZerosCount

Gets the number of non-zero values in this sparse matrix.

Declaration

public override int NonZerosCount { get; }

Property Value

Type	Description
Int32

Overrides

SparseMatrix.NonZerosCount

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RowCount

Gets the number of rows in this matrix.

Declaration

public override int RowCount { get; }

Property Value

Type	Description
Int32

Overrides

Matrix.RowCount

Methods

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Add(CompressedColumn, CompressedRow)

Computes the left addition of a CompressedRow with a CompressedColumn.

Declaration

public static CompressedRow Add(CompressedColumn left, CompressedRow right)

Parameters

Type	Name	Description
CompressedColumn	left	Left CompressedColumn for the addition.
CompressedRow	right	Right CompressedRow for the addition.

Returns

Type	Description
CompressedRow	The new CompressedRow resulting from the addition.

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Add(CompressedRow, DenseMatrix)

Computes the right addition of a CompressedRow with a DenseMatrix.

Declaration

public static DenseMatrix Add(CompressedRow left, DenseMatrix right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow for the addition.
DenseMatrix	right	Right DenseMatrix for the addition.

Returns

Type	Description
DenseMatrix	The new DenseMatrix resulting from the addition.

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Add(CompressedRow, Matrix)

Computes the right addition of a CompressedRow with a Matrix on the right.

Declaration

public static Matrix Add(CompressedRow left, Matrix right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow for the addition.
Matrix	right	Right Matrix for the addition.

Returns

Type	Description
Matrix	The new Matrix resulting from the addition.

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Add(CompressedRow, CompressedColumn)

Computes the right addition of a CompressedRow with a CompressedColumn.

Declaration

public static CompressedRow Add(CompressedRow left, CompressedColumn right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow for the addition.
CompressedColumn	right	Right CompressedColumn for the addition.

Returns

Type	Description
CompressedRow	The new CompressedColumn resulting from the addition.

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Add(CompressedRow, CompressedRow)

Computes the addition of two CompressedRow.

Declaration

public static CompressedRow Add(CompressedRow left, CompressedRow right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow for the addition.
CompressedRow	right	Right CompressedRow for the addition.

Returns

Type	Description
CompressedRow	The CompressedRow resulting from the addition.

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Add(CompressedRow, SparseMatrix)

Computes the right addition of a CompressedRow with a SparseMatrix.

Declaration

public static CompressedRow Add(CompressedRow left, SparseMatrix right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow for the addition.
SparseMatrix	right	Right SparseMatrix for the addition.

Returns

Type	Description
CompressedRow	The new CompressedRow resulting from the addition.

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Add(SparseMatrix, CompressedRow)

Computes the left addition of a CompressedRow with a SparseMatrix.

Declaration

public static CompressedRow Add(SparseMatrix left, CompressedRow right)

Parameters

Type	Name	Description
SparseMatrix	left	Left SparseMatrix for the addition.
CompressedRow	right	Right CompressedRow for the addition.

Returns

Type	Description
CompressedRow	The new CompressedRow resulting from the addition.

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At(Int32, Int32)

Get the value of the matrix at the given row and column index.

Declaration

public override double At(int row, int column)

Parameters

Type	Name	Description
Int32	row	Row index of the value to get.
Int32	column	Column index of the value to get.

Returns

Type	Description
Double	The value at the given row and column index.

Overrides

Matrix.At(Int32, Int32)

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ColumnIndex(Int32)

Returns the column index of a non-zero value at a given index.

Declaration

public int ColumnIndex(int index)

Parameters

Type	Name	Description
Int32	index	Index of the non-zero value whose column index to get.

Returns

Type	Description
Int32	The column index of this CompressedRow sparse matrix at the given index.

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Divide(CompressedRow, Double)

Computes the scalar division of a CompressedRow with a number.

Declaration

public static CompressedRow Divide(CompressedRow operand, double divisor)

Parameters

Type	Name	Description
CompressedRow	operand	CompressedRow to divide.
Double	divisor	number to divide with.

Returns

Type	Description
CompressedRow	The new CompressedRow resulting from the scalar division.

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Identity(Int32)

Returns the neutral CompressedRow for the multiplication.

Declaration

public static CompressedRow Identity(int size)

Parameters

Type	Name	Description
Int32	size	Number of rows and columns of the CompressedRow.

Returns

Type	Description
CompressedRow	The CompressedRow of the given size, with ones on the diagonal and zeros elsewhere.

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Insert(Int32, Int32, Double)

Inserts a value at the given row and column index. If a non-zero value already exists, the value replaces the existing one.

Declaration

public int Insert(int rowIndex, int columnIndex, double value)

Parameters

Type	Name	Description
Int32	rowIndex	Row index of the value to insert.
Int32	columnIndex	Column index of the value to insert.
Double	value	Value to insert.

Returns

Type	Description
Int32	The index of the inserted non-zero value.

Remarks

This operation can be time consuming.

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Multiply(CompressedColumn, CompressedRow)

Computes the left multiplication of a CompressedRow with a CompressedColumn.

Declaration

public static CompressedRow Multiply(CompressedColumn left, CompressedRow right)

Parameters

Type	Name	Description
CompressedColumn	left	Left CompressedColumn for the multiplication.
CompressedRow	right	Right CompressedRow for the multiplication.

Returns

Type	Description
CompressedRow	The new CompressedRow resulting from the multiplication.

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Multiply(CompressedRow, DenseMatrix)

Computes the right multiplication of a CompressedRow with a DenseMatrix.

Declaration

public static DenseMatrix Multiply(CompressedRow left, DenseMatrix right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow for the multiplication.
DenseMatrix	right	Right DenseMatrix for the multiplication.

Returns

Type	Description
DenseMatrix	The new DenseMatrix resulting from the multiplication.

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Multiply(CompressedRow, Matrix)

Computes the right multiplication of a CompressedRow with a Matrix.

Declaration

public static Matrix Multiply(CompressedRow left, Matrix right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow for the multiplication.
Matrix	right	Right Matrix for the multiplication.

Returns

Type	Description
Matrix	The new Matrix resulting from the multiplication.

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Multiply(CompressedRow, CompressedColumn)

Computes the right multiplication of a CompressedRow with a CompressedColumn.

Declaration

public static CompressedRow Multiply(CompressedRow left, CompressedColumn right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow for the multiplication.
CompressedColumn	right	Right CompressedColumn for the multiplication.

Returns

Type	Description
CompressedRow	The new CompressedColumn resulting from the multiplication.

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Multiply(CompressedRow, CompressedRow)

Computes the multiplication of two CompressedRow.

Declaration

public static CompressedRow Multiply(CompressedRow left, CompressedRow right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow for the multiplication.
CompressedRow	right	Right CompressedRow for the multiplication.

Returns

Type	Description
CompressedRow	The CompressedRow resulting from the multiplication.

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Multiply(CompressedRow, SparseMatrix)

Computes the right multiplication of a CompressedRow with a SparseMatrix.

Declaration

public static CompressedRow Multiply(CompressedRow left, SparseMatrix right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow for the multiplication.
SparseMatrix	right	Right SparseMatrix for the multiplication.

Returns

Type	Description
CompressedRow	The new CompressedRow resulting from the multiplication.

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Multiply(CompressedRow, DenseVector)

Computes the right multiplication of a CompressedRow with a DenseVector : A*V.

Declaration

public static DenseVector Multiply(CompressedRow matrix, DenseVector vector)

Parameters

Type	Name	Description
CompressedRow	matrix	CompressedRow to multiply on the right.
DenseVector	vector	DenseVector to multiply with.

Returns

Type	Description
DenseVector	The new DenseVector resulting from the multiplication.

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Multiply(CompressedRow, SparseVector)

Computes the right multiplication of a CompressedRow with a SparseVector : A*V.

Declaration

public static SparseVector Multiply(CompressedRow matrix, SparseVector vector)

Parameters

Type	Name	Description
CompressedRow	matrix	CompressedRow to multiply on the right.
SparseVector	vector	SparseVector to multiply with.

Returns

Type	Description
SparseVector	The new DenseVector resulting from the multiplication.

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Multiply(CompressedRow, Vector)

Computes the right multiplication of a CompressedRow with a Vector : A*V.

Declaration

public static Vector Multiply(CompressedRow matrix, Vector vector)

Parameters

Type	Name	Description
CompressedRow	matrix	CompressedRow to multiply on the right.
Vector	vector	Vector to multiply with.

Returns

Type	Description
Vector	The new Vector resulting from the multiplication.

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Multiply(CompressedRow, Double)

Computes the right scalar multiplication of a CompressedRow with a number.

Declaration

public static CompressedRow Multiply(CompressedRow operand, double factor)

Parameters

Type	Name	Description
CompressedRow	operand	CompressedRow to multiply on the right.
Double	factor	number to multiply with.

Returns

Type	Description
CompressedRow	The new CompressedRow resulting from the right scalar multiplication.

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Multiply(SparseMatrix, CompressedRow)

Computes the left multiplication of a CompressedRow with a SparseMatrix.

Declaration

public static CompressedRow Multiply(SparseMatrix left, CompressedRow right)

Parameters

Type	Name	Description
SparseMatrix	left	Left SparseMatrix for the multiplication.
CompressedRow	right	Right CompressedRow for the multiplication.

Returns

Type	Description
CompressedRow	The new CompressedRow resulting from the multiplication.

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Multiply(Double, CompressedRow)

Computes the left scalar multiplication of a CompressedRow with a number.

Declaration

public static CompressedRow Multiply(double factor, CompressedRow operand)

Parameters

Type	Name	Description
Double	factor	number to multiply with.
CompressedRow	operand	CompressedRow to multiply on the left.

Returns

Type	Description
CompressedRow	The new CompressedRow resulting from the left scalar multiplication.

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NonZero(Int32)

Returns the non-zero value at a given index.

Declaration

public double NonZero(int index)

Parameters

Type	Name	Description
Int32	index	Index of the non-zero value to get.

Returns

Type	Description
Double	The non-zero value of this CompressedRow sparse matrix at the given index.

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NonZeros()

Provides an enumerable collection to iterate on the non-zero entries of the SparseMatrix non-zero entries.

Declaration

public override IEnumerable<(int rowIndex, int columnIndex, double value)> NonZeros()

Returns

Type	Description
IEnumerable<(, , )<Int32, Int32, Double>>	The enumerable collection containing row index, the column index and the value of the SparseMatrix non-zero entries.

Overrides

SparseMatrix.NonZeros()

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RowPointer(Int32)

Returns the row pointers at a given index.

Declaration

public int RowPointer(int index)

Parameters

Type	Name	Description
Int32	index	Index row pointer to get.

Returns

Type	Description
Int32	The row pointers of this CompressedRow sparse matrix.

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SolveCholesky(Vector)

Solve the system

Ax=y

using Cholesky decomposition.

Declaration

public DenseVector SolveCholesky(Vector vector)

Parameters

Type	Name	Description
Vector	vector	The vector y in the system.

Returns

Type	Description
DenseVector	The vector x in the system.

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Subtract(CompressedColumn, CompressedRow)

Computes the subtraction of a CompressedRow on a CompressedColumn.

Declaration

public static CompressedRow Subtract(CompressedColumn left, CompressedRow right)

Parameters

Type	Name	Description
CompressedColumn	left	Left CompressedColumn to subtract with.
CompressedRow	right	Right CompressedRow to subtract.

Returns

Type	Description
CompressedRow	The new CompressedRow resulting from the subtraction.

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Subtract(CompressedRow, DenseMatrix)

Computes the right subtraction of a CompressedRow with a DenseMatrix.

Declaration

public static DenseMatrix Subtract(CompressedRow left, DenseMatrix right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow to subtract.
DenseMatrix	right	Right DenseMatrix to subtract with.

Returns

Type	Description
DenseMatrix	The new DenseMatrix resulting from the subtraction.

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Subtract(CompressedRow, Matrix)

Computes the right subtraction of a CompressedRow with a Matrix.

Declaration

public static Matrix Subtract(CompressedRow left, Matrix right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow to subtract.
Matrix	right	Right Matrix to subtract with.

Returns

Type	Description
Matrix	The new Matrix resulting from the subtraction.

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Subtract(CompressedRow, CompressedColumn)

Computes the right subtraction of a CompressedRow with a CompressedColumn.

Declaration

public static CompressedRow Subtract(CompressedRow left, CompressedColumn right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow to subtract.
CompressedColumn	right	Right CompressedColumn to subtract with.

Returns

Type	Description
CompressedRow	The new CompressedColumn resulting from the subtraction.

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Subtract(CompressedRow, CompressedRow)

Computes the subtraction of two CompressedRow.

Declaration

public static CompressedRow Subtract(CompressedRow left, CompressedRow right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow to subtract.
CompressedRow	right	Right CompressedRow to subtract with.

Returns

Type	Description
CompressedRow	The CompressedRow resulting from the subtraction.

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Subtract(CompressedRow, SparseMatrix)

Computes the right subtraction of a CompressedRow with a SparseMatrix.

Declaration

public static CompressedRow Subtract(CompressedRow left, SparseMatrix right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow to subtract.
SparseMatrix	right	Right SparseMatrix to subtract with.

Returns

Type	Description
CompressedRow	The new CompressedRow resulting from the subtraction.

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Subtract(SparseMatrix, CompressedRow)

Computes the subtraction of a CompressedRow on a SparseMatrix.

Declaration

public static CompressedRow Subtract(SparseMatrix left, CompressedRow right)

Parameters

Type	Name	Description
SparseMatrix	left	Left SparseMatrix to subtract with.
CompressedRow	right	Right CompressedRow to subtract.

Returns

Type	Description
CompressedRow	The new CompressedRow resulting from the subtraction.

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Transpose(CompressedRow)

Transposes the CompressedRow

Declaration

public static CompressedRow Transpose(CompressedRow matrix)

Parameters

Type	Name	Description
CompressedRow	matrix	CompressedRow to tranpose.

Returns

Type	Description
CompressedRow	The new CompressedRow, transposed of the initial one.

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TransposeMultiply(CompressedRow, DenseVector)

Computes the right multiplication of a transposed CompressedRow with a DenseVector : A^t·V.

Declaration

public static DenseVector TransposeMultiply(CompressedRow matrix, DenseVector vector)

Parameters

Type	Name	Description
CompressedRow	matrix	CompressedRow to transpose then multiply on the right.
DenseVector	vector	DenseVector to multiply with.

Returns

Type	Description
DenseVector	The new DenseVector resulting from the multiplication.

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TransposeMultiply(CompressedRow, SparseVector)

Computes the right multiplication of a transposed CompressedRow with a SparseVector : A^t·V.

Declaration

public static SparseVector TransposeMultiply(CompressedRow matrix, SparseVector vector)

Parameters

Type	Name	Description
CompressedRow	matrix	CompressedRow to transpose then multiply on the right.
SparseVector	vector	SparseVector to multiply with.

Returns

Type	Description
SparseVector	The new SparseVector resulting from the multiplication.

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TransposeMultiply(CompressedRow, Vector)

Computes the right multiplication of a transposed CompressedRow with a Vector : A^t·V.

Declaration

public static Vector TransposeMultiply(CompressedRow matrix, Vector vector)

Parameters

Type	Name	Description
CompressedRow	matrix	CompressedRow to transpose then multiply on the right.
Vector	vector	Vector to multiply with.

Returns

Type	Description
Vector	The new Vector resulting from the multiplication.

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TransposeMultiplySelf(CompressedRow)

Computes the left multiplication of a CompressedRow with its transposition : A^t·A.

Declaration

public static CompressedRow TransposeMultiplySelf(CompressedRow operand)

Parameters

Type	Name	Description
CompressedRow	operand	CompressedRow for the operation.

Returns

Type	Description
CompressedRow	The new CompressedRow resulting from the operation.

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Zero(Int32, Int32)

Returns the neutral CompressedRow for the addition.

Declaration

public static CompressedRow Zero(int rowCount, int columnCount)

Parameters

Type	Name	Description
Int32	rowCount	Number of rows of the CompressedRow.
Int32	columnCount	Number of columns of the CompressedRow.

Returns

Type	Description
CompressedRow	The CompressedRow of the given size, with zeros on every coordinates.

Operators

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Addition(CompressedRow, DenseMatrix)

Computes the right addition of a CompressedRow with a DenseMatrix.

Declaration

public static DenseMatrix operator +(CompressedRow left, DenseMatrix right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow for the addition.
DenseMatrix	right	Right DenseMatrix for the addition.

Returns

Type	Description
DenseMatrix	The new DenseMatrix resulting from the addition.

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Addition(CompressedRow, Matrix)

Computes the right addition of a CompressedRow with a Matrix on the right.

Declaration

public static Matrix operator +(CompressedRow left, Matrix right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow for the addition.
Matrix	right	Right Matrix for the addition.

Returns

Type	Description
Matrix	The new Matrix resulting from the addition.

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Addition(CompressedRow, CompressedColumn)

Computes the right addition of a CompressedRow with a CompressedColumn.

Declaration

public static CompressedRow operator +(CompressedRow left, CompressedColumn right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow for the addition.
CompressedColumn	right	Right CompressedColumn for the addition.

Returns

Type	Description
CompressedRow	The new CompressedColumn resulting from the addition.

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Addition(CompressedRow, CompressedRow)

Computes the addition of two CompressedRow.

Declaration

public static CompressedRow operator +(CompressedRow left, CompressedRow right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow for the addition.
CompressedRow	right	Right CompressedRow for the addition.

Returns

Type	Description
CompressedRow	The CompressedRow resulting from the addition.

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Addition(CompressedRow, SparseMatrix)

Computes the right addition of a CompressedRow with a SparseMatrix.

Declaration

public static CompressedRow operator +(CompressedRow left, SparseMatrix right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow for the addition.
SparseMatrix	right	Right SparseMatrix for the addition.

Returns

Type	Description
CompressedRow	The new CompressedRow resulting from the addition.

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Division(CompressedRow, Double)

Computes the scalar division of a CompressedRow with a number.

Declaration

public static CompressedRow operator /(CompressedRow operand, double divisor)

Parameters

Type	Name	Description
CompressedRow	operand	CompressedRow to divide.
Double	divisor	number to divide with.

Returns

Type	Description
CompressedRow	The new CompressedRow resulting from the scalar division.

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Explicit(CompressedColumn to CompressedRow)

Converts a CompressedColumn number into a CompressedRow.

Declaration

public static explicit operator CompressedRow(CompressedColumn ccs)

Parameters

Type	Name	Description
CompressedColumn	ccs	CompressedRow to convert.

Returns

Type	Description
CompressedRow	The new CompressedRow resulting from the conversion.

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Multiply(CompressedRow, DenseMatrix)

Computes the right multiplication of a CompressedRow with a DenseMatrix.

Declaration

public static DenseMatrix operator *(CompressedRow left, DenseMatrix right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow for the multiplication.
DenseMatrix	right	Right DenseMatrix for the multiplication.

Returns

Type	Description
DenseMatrix	The new DenseMatrix resulting from the multiplication.

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Multiply(CompressedRow, Matrix)

Computes the right multiplication of a CompressedRow with a Matrix.

Declaration

public static Matrix operator *(CompressedRow left, Matrix right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow for the multiplication.
Matrix	right	Right Matrix for the multiplication.

Returns

Type	Description
Matrix	The new Matrix resulting from the multiplication.

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Multiply(CompressedRow, CompressedColumn)

Computes the right multiplication of a CompressedRow with a CompressedColumn.

Declaration

public static CompressedRow operator *(CompressedRow left, CompressedColumn right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow for the multiplication.
CompressedColumn	right	Right CompressedColumn for the multiplication.

Returns

Type	Description
CompressedRow	The new CompressedColumn resulting from the multiplication.

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Multiply(CompressedRow, CompressedRow)

Computes the multiplication of two CompressedRow.

Declaration

public static CompressedRow operator *(CompressedRow left, CompressedRow right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow for the multiplication.
CompressedRow	right	Right CompressedRow for the multiplication.

Returns

Type	Description
CompressedRow	The CompressedRow resulting from the multiplication.

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Multiply(CompressedRow, SparseMatrix)

Computes the right multiplication of a CompressedRow with a SparseMatrix.

Declaration

public static CompressedRow operator *(CompressedRow left, SparseMatrix right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow for the multiplication.
SparseMatrix	right	Right SparseMatrix for the multiplication.

Returns

Type	Description
CompressedRow	The new CompressedRow resulting from the multiplication.

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Multiply(CompressedRow, DenseVector)

Computes the right multiplication of a CompressedRow with a DenseVector : A*V.

Declaration

public static DenseVector operator *(CompressedRow matrix, DenseVector vector)

Parameters

Type	Name	Description
CompressedRow	matrix	CompressedRow to multiply on the right.
DenseVector	vector	DenseVector to multiply with.

Returns

Type	Description
DenseVector	The new DenseVector resulting from the multiplication.

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Multiply(CompressedRow, SparseVector)

Computes the right multiplication of a CompressedRow with a SparseVector : A*V.

Declaration

public static SparseVector operator *(CompressedRow matrix, SparseVector vector)

Parameters

Type	Name	Description
CompressedRow	matrix	CompressedRow to multiply on the right.
SparseVector	vector	SparseVector to multiply with.

Returns

Type	Description
SparseVector	The new SparseVector resulting from the multiplication.

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Multiply(CompressedRow, Vector)

Computes the right multiplication of a CompressedRow with a Vector : A*V.

Declaration

public static Vector operator *(CompressedRow matrix, Vector vector)

Parameters

Type	Name	Description
CompressedRow	matrix	CompressedRow to multiply on the right.
Vector	vector	Vector to multiply with.

Returns

Type	Description
Vector	The new Vector resulting from the multiplication.

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Multiply(CompressedRow, Double)

Computes the right scalar multiplication of a CompressedRow with a number.

Declaration

public static CompressedRow operator *(CompressedRow operand, double factor)

Parameters

Type	Name	Description
CompressedRow	operand	CompressedRow to multiply on the right.
Double	factor	number to multiply with.

Returns

Type	Description
CompressedRow	The new CompressedRow resulting from the right scalar multiplication.

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Multiply(Double, CompressedRow)

Computes the left scalar multiplication of a CompressedRow with a number.

Declaration

public static CompressedRow operator *(double factor, CompressedRow operand)

Parameters

Type	Name	Description
Double	factor	number to multiply with.
CompressedRow	operand	CompressedRow to multiply on the left.

Returns

Type	Description
CompressedRow	The new CompressedRow resulting from the left scalar multiplication.

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Subtraction(CompressedRow, DenseMatrix)

Computes the right subtraction of a CompressedRow with a DenseMatrix.

Declaration

public static DenseMatrix operator -(CompressedRow left, DenseMatrix right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow to subtract.
DenseMatrix	right	Right DenseMatrix to subtract with.

Returns

Type	Description
DenseMatrix	The new DenseMatrix resulting from the subtraction.

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Subtraction(CompressedRow, Matrix)

Computes the right subtraction of a CompressedRow with a Matrix.

Declaration

public static Matrix operator -(CompressedRow left, Matrix right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow to subtract.
Matrix	right	Right Matrix to subtract with.

Returns

Type	Description
Matrix	The new Matrix resulting from the subtraction.

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Subtraction(CompressedRow, CompressedColumn)

Computes the right subtraction of a CompressedRow with a CompressedColumn.

Declaration

public static CompressedRow operator -(CompressedRow left, CompressedColumn right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow to subtract.
CompressedColumn	right	Right CompressedColumn to subtract with.

Returns

Type	Description
CompressedRow	The new CompressedColumn resulting from the subtraction.

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Subtraction(CompressedRow, CompressedRow)

Computes the subtraction of two CompressedRow.

Declaration

public static CompressedRow operator -(CompressedRow left, CompressedRow right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow to subtract.
CompressedRow	right	Right CompressedRow to subtract with.

Returns

Type	Description
CompressedRow	The CompressedRow resulting from the subtraction.

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Subtraction(CompressedRow, SparseMatrix)

Computes the right subtraction of a CompressedRow with a SparseMatrix.

Declaration

public static CompressedRow operator -(CompressedRow left, SparseMatrix right)

Parameters

Type	Name	Description
CompressedRow	left	Left CompressedRow to subtract.
SparseMatrix	right	Right SparseMatrix to subtract with.

Returns

Type	Description
CompressedRow	The new CompressedRow resulting from the subtraction.

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UnaryNegation(CompressedRow)

Computes the opposite of the CompressedRow.

Declaration

public static CompressedRow operator -(CompressedRow operand)

Parameters

Type	Name	Description
CompressedRow	operand	CompressedRow whose opposite is to be computed.

Returns

Type	Description
CompressedRow	The CompressedRow, opposite of the initial one.

Explicit Interface Implementations

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IGroupAction<CompressedRow, Double>.Divide(Double)

Computes the right scalar division of the current element.

Declaration

CompressedRow IGroupAction<CompressedRow, double>.Divide(double divisor)

Parameters

Type	Name	Description
Double	divisor

Returns

Type	Description
CompressedRow	The new element resulting from the scalar dividion.

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IGroupAction<CompressedRow, Double>.Multiply(Double)

Computes the right scalar multiplication of the current element.

Declaration

CompressedRow IGroupAction<CompressedRow, double>.Multiply(double factor)

Parameters

Type	Name	Description
Double	factor

Returns

Type	Description
CompressedRow	The new element resulting from the scalar multiplication.

Implements

IGroupAction<TSelf, TValue>