public sealed class CompressedColumn : SparseMatrix, IGroupAction<Matrix, double>, IGroupAction<SparseMatrix, double>, IGroupAction<CompressedColumn, double>

Constructors

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CompressedColumn(CompressedColumn)

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

Declaration

public CompressedColumn(CompressedColumn ccs)

Parameters

Type	Name	Description
CompressedColumn	ccs	CompressedColumn to deep copy.

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CompressedColumn(Int32, Int32, DictionaryOfKeys)

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

Declaration

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

Parameters

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

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, DenseMatrix)

Computes the right addition of a CompressedColumn with a DenseMatrix.

Declaration

public static DenseMatrix Add(CompressedColumn left, DenseMatrix right)

Parameters

Type	Name	Description
CompressedColumn	left	Left CompressedColumn 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(CompressedColumn, Matrix)

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

Declaration

public static Matrix Add(CompressedColumn left, Matrix right)

Parameters

Type	Name	Description
CompressedColumn	left	Left CompressedColumn 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(CompressedColumn, CompressedColumn)

Computes the addition of two CompressedColumn.

Declaration

public static CompressedColumn Add(CompressedColumn left, CompressedColumn right)

Parameters

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

Returns

Type	Description
CompressedColumn	The CompressedColumn resulting from the addition.

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Add(CompressedColumn, CompressedRow)

Computes the right addition of a CompressedColumn with a CompressedRow.

Declaration

public static CompressedColumn 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
CompressedColumn	The new CompressedColumn resulting from the addition.

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Add(CompressedColumn, SparseMatrix)

Computes the right addition of a CompressedColumn with a SparseMatrix.

Declaration

public static CompressedColumn Add(CompressedColumn left, SparseMatrix right)

Parameters

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

Returns

Type	Description
CompressedColumn	The new CompressedColumn resulting from the addition.

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Add(CompressedRow, CompressedColumn)

Computes left the addition of a CompressedColumn with a CompressedRow.

Declaration

public static CompressedColumn 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
CompressedColumn	The new CompressedColumn resulting from the addition.

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Add(SparseMatrix, CompressedColumn)

Computes the left addition of a CompressedColumn with a SparseMatrix.

Declaration

public static CompressedColumn Add(SparseMatrix left, CompressedColumn right)

Parameters

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

Returns

Type	Description
CompressedColumn	The new CompressedColumn 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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ColumnPointer(Int32)

Returns the column pointer at agiven index.

Declaration

public int ColumnPointer(int index)

Parameters

Type	Name	Description
Int32	index	Index of the column pointers to get.

Returns

Type	Description
Int32	The column pointers of this CompressedColumn sparse matrix.

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Divide(CompressedColumn, Double)

Computes the scalar division of a CompressedColumn with a number.

Declaration

public static CompressedColumn Divide(CompressedColumn operand, double divisor)

Parameters

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

Returns

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

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Identity(Int32)

Returns the neutral CompressedColumn for the multiplication.

Declaration

public static CompressedColumn Identity(int size)

Parameters

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

Returns

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

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Kernel()

Computes the kernel (or null-space) of the current SparseMatrix using the QR decomposition.

Declaration

public DenseVector[] Kernel()

Returns

Type	Description
DenseVector[]	The vectors forming a basis of the null-space.

Remarks

The method is adapted for rectangular matrix.

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Multiply(CompressedColumn, DenseMatrix)

Computes the right multiplication of a CompressedColumn with a DenseMatrix.

Declaration

public static DenseMatrix Multiply(CompressedColumn left, DenseMatrix right)

Parameters

Type	Name	Description
CompressedColumn	left	Left CompressedColumn 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(CompressedColumn, Matrix)

Computes the right multiplication of a CompressedColumn with a Matrix.

Declaration

public static Matrix Multiply(CompressedColumn left, Matrix right)

Parameters

Type	Name	Description
CompressedColumn	left	Left CompressedColumn 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(CompressedColumn, CompressedColumn)

Computes the multiplication of two CompressedColumn.

Declaration

public static CompressedColumn Multiply(CompressedColumn left, CompressedColumn right)

Parameters

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

Returns

Type	Description
CompressedColumn	The CompressedColumn resulting from the multiplication.

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Multiply(CompressedColumn, CompressedRow)

Computes the right multiplication of a CompressedColumn with a CompressedRow.

Declaration

public static CompressedColumn 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
CompressedColumn	The new CompressedColumn resulting from the multiplication.

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Multiply(CompressedColumn, SparseMatrix)

Computes the right multiplication of a CompressedColumn with a SparseMatrix.

Declaration

public static CompressedColumn Multiply(CompressedColumn left, SparseMatrix right)

Parameters

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

Returns

Type	Description
CompressedColumn	The new CompressedColumn resulting from the multiplication.

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Multiply(CompressedColumn, DenseVector)

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

Declaration

public static DenseVector Multiply(CompressedColumn matrix, DenseVector vector)

Parameters

Type	Name	Description
CompressedColumn	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(CompressedColumn, SparseVector)

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

Declaration

public static SparseVector Multiply(CompressedColumn matrix, SparseVector vector)

Parameters

Type	Name	Description
CompressedColumn	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(CompressedColumn, Vector)

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

Declaration

public static Vector Multiply(CompressedColumn matrix, Vector vector)

Parameters

Type	Name	Description
CompressedColumn	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(CompressedColumn, Double)

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

Declaration

public static CompressedColumn Multiply(CompressedColumn operand, double factor)

Parameters

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

Returns

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

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Multiply(CompressedRow, CompressedColumn)

Computes the left multiplication of a CompressedColumn with a CompressedRow.

Declaration

public static CompressedColumn 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
CompressedColumn	The new CompressedColumn resulting from the multiplication.

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Multiply(SparseMatrix, CompressedColumn)

Computes the left multiplication of a CompressedColumn with a SparseMatrix.

Declaration

public static CompressedColumn Multiply(SparseMatrix left, CompressedColumn right)

Parameters

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

Returns

Type	Description
CompressedColumn	The new CompressedColumn resulting from the multiplication.

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Multiply(Double, CompressedColumn)

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

Declaration

public static CompressedColumn Multiply(double factor, CompressedColumn operand)

Parameters

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

Returns

Type	Description
CompressedColumn	The new CompressedColumn 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 CompressedColumn 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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RowIndex(Int32)

Returns the row index of a non zero value at a given index.

Declaration

public int RowIndex(int index)

Parameters

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

Returns

Type	Description
Int32	The row index of this CompressedColumn sparse matrix at the given index.

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SolveCholesky(Vector)

Solve the system A·x=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, DenseMatrix)

Computes the right subtraction of a CompressedColumn with a DenseMatrix.

Declaration

public static DenseMatrix Subtract(CompressedColumn left, DenseMatrix right)

Parameters

Type	Name	Description
CompressedColumn	left	Left CompressedColumn 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(CompressedColumn, Matrix)

Computes the right subtraction of a CompressedColumn with a Matrix.

Declaration

public static Matrix Subtract(CompressedColumn left, Matrix right)

Parameters

Type	Name	Description
CompressedColumn	left	Left CompressedColumn 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(CompressedColumn, CompressedColumn)

Computes the subtraction of two CompressedColumn.

Declaration

public static CompressedColumn Subtract(CompressedColumn left, CompressedColumn right)

Parameters

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

Returns

Type	Description
CompressedColumn	The CompressedColumn resulting from the subtraction.

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Subtract(CompressedColumn, CompressedRow)

Computes the right subtraction of a CompressedColumn with a CompressedRow.

Declaration

public static CompressedColumn Subtract(CompressedColumn left, CompressedRow right)

Parameters

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

Returns

Type	Description
CompressedColumn	The new CompressedColumn resulting from the subtraction.

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Subtract(CompressedColumn, SparseMatrix)

Computes the right subtraction of a CompressedColumn with a SparseMatrix.

Declaration

public static CompressedColumn Subtract(CompressedColumn left, SparseMatrix right)

Parameters

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

Returns

Type	Description
CompressedColumn	The new CompressedColumn resulting from the subtraction.

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Subtract(CompressedRow, CompressedColumn)

Computes the subtraction of a CompressedColumn on a CompressedRow.

Declaration

public static CompressedColumn 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
CompressedColumn	The new CompressedColumn resulting from the subtraction.

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Subtract(SparseMatrix, CompressedColumn)

Computes the subtraction of a SparseMatrix on a CompressedColumn.

Declaration

public static CompressedColumn Subtract(SparseMatrix left, CompressedColumn right)

Parameters

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

Returns

Type	Description
CompressedColumn	The new CompressedColumn resulting from the subtraction.

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Transpose(CompressedColumn)

Transposes the CompressedRow

Declaration

public static CompressedColumn Transpose(CompressedColumn matrix)

Parameters

Type	Name	Description
CompressedColumn	matrix	CompressedRow to tranpose.

Returns

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

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TransposeMultiply(CompressedColumn, DenseVector)

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

Declaration

public static DenseVector TransposeMultiply(CompressedColumn matrix, DenseVector vector)

Parameters

Type	Name	Description
CompressedColumn	matrix	CompressedColumn 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(CompressedColumn, SparseVector)

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

Declaration

public static SparseVector TransposeMultiply(CompressedColumn matrix, SparseVector vector)

Parameters

Type	Name	Description
CompressedColumn	matrix	CompressedColumn 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(CompressedColumn, Vector)

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

Declaration

public static Vector TransposeMultiply(CompressedColumn matrix, Vector vector)

Parameters

Type	Name	Description
CompressedColumn	matrix	CompressedColumn 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(CompressedColumn)

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

Declaration

public static CompressedColumn TransposeMultiplySelf(CompressedColumn operand)

Parameters

Type	Name	Description
CompressedColumn	operand	CompressedColumn for the operation.

Returns

Type	Description
CompressedColumn	The new CompressedColumn resulting from the operation.

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Zero(Int32, Int32)

Returns the neutral CompressedColumn for the addition.

Declaration

public static CompressedColumn Zero(int rowCount, int columnCount)

Parameters

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

Returns

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

Operators

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Addition(CompressedColumn, DenseMatrix)

Computes the right addition of a CompressedColumn with a DenseMatrix.

Declaration

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

Parameters

Type	Name	Description
CompressedColumn	left	Left CompressedColumn 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(CompressedColumn, Matrix)

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

Declaration

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

Parameters

Type	Name	Description
CompressedColumn	left	Left CompressedColumn 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(CompressedColumn, CompressedColumn)

Computes the addition of two CompressedColumn.

Declaration

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

Parameters

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

Returns

Type	Description
CompressedColumn	The CompressedColumn resulting from the addition.

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Addition(CompressedColumn, CompressedRow)

Computes the right addition of a CompressedColumn with a CompressedRow.

Declaration

public static CompressedColumn operator +(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
CompressedColumn	The new CompressedColumn resulting from the addition.

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Addition(CompressedColumn, SparseMatrix)

Computes the right addition of a CompressedColumn with a SparseMatrix.

Declaration

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

Parameters

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

Returns

Type	Description
CompressedColumn	The new CompressedColumn resulting from the addition.

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Division(CompressedColumn, Double)

Computes the scalar division of a CompressedColumn with a number.

Declaration

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

Parameters

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

Returns

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

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Explicit(CompressedRow to CompressedColumn)

Converts a CompressedRow number into a CompressedColumn.

Declaration

public static explicit operator CompressedColumn(CompressedRow crs)

Parameters

Type	Name	Description
CompressedRow	crs	CompressedRow to convert.

Returns

Type	Description
CompressedColumn	The new CompressedColumn resulting from the conversion.

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Multiply(CompressedColumn, DenseMatrix)

Computes the right multiplication of a CompressedColumn with a DenseMatrix.

Declaration

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

Parameters

Type	Name	Description
CompressedColumn	left	Left CompressedColumn 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(CompressedColumn, Matrix)

Computes the right multiplication of a CompressedColumn with a Matrix.

Declaration

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

Parameters

Type	Name	Description
CompressedColumn	left	Left CompressedColumn 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(CompressedColumn, CompressedColumn)

Computes the multiplication of two CompressedColumn.

Declaration

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

Parameters

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

Returns

Type	Description
CompressedColumn	The CompressedColumn resulting from the multiplication.

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Multiply(CompressedColumn, CompressedRow)

Computes the right multiplication of a CompressedColumn with a CompressedRow.

Declaration

public static CompressedColumn operator *(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
CompressedColumn	The new CompressedColumn resulting from the multiplication.

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Multiply(CompressedColumn, SparseMatrix)

Computes the right multiplication of a CompressedColumn with a SparseMatrix.

Declaration

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

Parameters

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

Returns

Type	Description
CompressedColumn	The new CompressedColumn resulting from the multiplication.

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Multiply(CompressedColumn, DenseVector)

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

Declaration

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

Parameters

Type	Name	Description
CompressedColumn	matrix	CompressedColumn 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(CompressedColumn, SparseVector)

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

Declaration

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

Parameters

Type	Name	Description
CompressedColumn	matrix	CompressedColumn 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(CompressedColumn, Vector)

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

Declaration

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

Parameters

Type	Name	Description
CompressedColumn	matrix	CompressedColumn 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(CompressedColumn, Double)

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

Declaration

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

Parameters

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

Returns

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

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Multiply(Double, CompressedColumn)

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

Declaration

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

Parameters

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

Returns

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

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Subtraction(CompressedColumn, DenseMatrix)

Computes the right subtraction of a CompressedColumn with a DenseMatrix.

Declaration

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

Parameters

Type	Name	Description
CompressedColumn	left	Left CompressedColumn 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(CompressedColumn, Matrix)

Computes the right subtraction of a CompressedColumn with a Matrix.

Declaration

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

Parameters

Type	Name	Description
CompressedColumn	left	Left CompressedColumn 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(CompressedColumn, CompressedColumn)

Computes the subtraction of two CompressedColumn.

Declaration

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

Parameters

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

Returns

Type	Description
CompressedColumn	The CompressedColumn resulting from the subtraction.

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Subtraction(CompressedColumn, CompressedRow)

Computes the right subtraction of a CompressedColumn with a CompressedRow.

Declaration

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

Parameters

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

Returns

Type	Description
CompressedColumn	The new CompressedColumn resulting from the subtraction.

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Subtraction(CompressedColumn, SparseMatrix)

Computes the right subtraction of a CompressedColumn with a SparseMatrix.

Declaration

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

Parameters

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

Returns

Type	Description
CompressedColumn	The new CompressedColumn resulting from the subtraction.

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UnaryNegation(CompressedColumn)

Computes the opposite of the CompressedColumn.

Declaration

public static CompressedColumn operator -(CompressedColumn operand)

Parameters

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

Returns

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

Explicit Interface Implementations

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IGroupAction<CompressedColumn, Double>.Divide(Double)

Computes the right scalar division of the current element.

Declaration

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

Parameters

Type	Name	Description
Double	divisor

Returns

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

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IGroupAction<CompressedColumn, Double>.Multiply(Double)

Computes the right scalar multiplication of the current element.

Declaration

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

Parameters

Type	Name	Description
Double	factor

Returns

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

Implements

IGroupAction<TSelf, TValue>