Matrix (FsODE)

FsODE

Documentation for 0.0.2

Matrix Type

Namespace: Altaxo.Calc.LinearAlgebra
Assembly: AltaxoCore.Redist.dll
Base Type: obj
All Interfaces: IMapackMatrix , IMatrix<float> , IROMatrix<float>

Matrix provides the fundamental operations of numerical linear algebra.

Constructors

Constructor	Description
`Matrix(rows, columns)` Full Usage: `Matrix(rows, columns)` Parameters: rows : `int` - Number of rows. columns : `int` - Number of columns.	Constructs an empty matrix of the given size. rows : `int` Number of rows. columns : `int` Number of columns.
`Matrix(rows, columns, value)` Full Usage: `Matrix(rows, columns, value)` Parameters: rows : `int` - Number of rows. columns : `int` - Number of columns. value : `float` - Value to assign to the diagnoal elements.	Constructs a matrix of the given size and assigns a given value to all diagonal elements. rows : `int` Number of rows. columns : `int` Number of columns. value : `float` Value to assign to the diagnoal elements.
`Matrix(data)` Full Usage: `Matrix(data)` Parameters: data : `float[][]` - The array the matrix gets constructed from.	Constructs a matrix from the given array. data : `float[][]` The array the matrix gets constructed from.

Instance members

Instance member	Description
`this.Addition` Full Usage: `this.Addition` Parameters: B : `IMapackMatrix` Returns: `IMapackMatrix` Modifiers: abstract	Matrix addition. B : `IMapackMatrix` Returns: `IMapackMatrix`
`this.Clone` Full Usage: `this.Clone` Returns: `IMapackMatrix` Modifiers: abstract	Creates a copy of the matrix. Returns: `IMapackMatrix`
`this.ColumnCount` Full Usage: `this.ColumnCount` Returns: `int` Modifiers: abstract	Returns the number of columns. Returns: `int`
`this.Determinant` Full Usage: `this.Determinant` Returns: `float` Modifiers: abstract	Determinant if matrix is square. Returns: `float`
`this.FrobeniusNorm` Full Usage: `this.FrobeniusNorm` Returns: `float` Modifiers: abstract	Returns the Frobenius Norm for the matrix. Returns: `float`
`this.GetCholeskyDecomposition` Full Usage: `this.GetCholeskyDecomposition` Returns: `ICholeskyDecomposition` Modifiers: abstract	Returns the cholesky decomposition for this matrix. Returns: `ICholeskyDecomposition`
`this.GetEigenvalueDecomposition` Full Usage: `this.GetEigenvalueDecomposition` Returns: `IEigenvalueDecomposition` Modifiers: abstract	Returns the eigenvalue decomposition for this matrix. Returns: `IEigenvalueDecomposition`
`this.GetLuDecomposition` Full Usage: `this.GetLuDecomposition` Returns: `ILuDecomposition` Modifiers: abstract	Returns the LU decomposition for this matrix. Returns: `ILuDecomposition`
`this.GetQrDecomposition` Full Usage: `this.GetQrDecomposition` Returns: `IQrDecomposition` Modifiers: abstract	Returns the QR decomposition for this matrix. Returns: `IQrDecomposition`
`this.GetSingularValueDecomposition` Full Usage: `this.GetSingularValueDecomposition` Returns: `ISingularValueDecomposition` Modifiers: abstract	Returns the singular value decomposition for this matrix. Returns: `ISingularValueDecomposition`
`this.InfinityNorm` Full Usage: `this.InfinityNorm` Returns: `float` Modifiers: abstract	Returns the Infinity Norm for the matrix. Returns: `float`
`this.Inverse` Full Usage: `this.Inverse` Returns: `IMapackMatrix` Modifiers: abstract	Inverse of the matrix if matrix is square, pseudoinverse otherwise. Returns: `IMapackMatrix`
`this.IsSquare` Full Usage: `this.IsSquare` Returns: `bool` Modifiers: abstract	Return if the matrix is a square matrix. Returns: `bool`
`this.IsSymmetric` Full Usage: `this.IsSymmetric` Returns: `bool` Modifiers: abstract	Returns if the matrix is symmetric. Returns: `bool`
`this.[arg1, arg2]` Full Usage: `this.[arg1, arg2]` Parameters: arg0 : `int` Returns: `int` Modifiers: abstract	Access the value at the given location. arg0 : `int` Returns: `int`
`this.Multiply` Full Usage: `this.Multiply` Parameters: s : `float` Returns: `IMapackMatrix` Modifiers: abstract	Matrix-scalar multiplication. s : `float` Returns: `IMapackMatrix`
`this.Multiply` Full Usage: `this.Multiply` Parameters: B : `IMapackMatrix` Returns: `IMapackMatrix` Modifiers: abstract	Matrix-matrix multiplication. B : `IMapackMatrix` Returns: `IMapackMatrix`
`this.Norm1` Full Usage: `this.Norm1` Returns: `float` Modifiers: abstract	Returns the One Norm for the matrix. Returns: `float`
`this.RowCount` Full Usage: `this.RowCount` Returns: `int` Modifiers: abstract	Returns the number of columns. Returns: `int`
`this.Solve` Full Usage: `this.Solve` Parameters: rhs : `IMapackMatrix` Returns: `IMapackMatrix` Modifiers: abstract	Returns the LHS solution vetor if the matrix is square or the least squares solution otherwise. rhs : `IMapackMatrix` Returns: `IMapackMatrix`
`this.Submatrix` Full Usage: `this.Submatrix` Parameters: i0 : `int` - Starttial row index i1 : `int` - End row index j0 : `int` - Start column index j1 : `int` - End column index Returns: `IMapackMatrix` Modifiers: abstract	Returns a sub matrix extracted from the current matrix. i0 : `int` Starttial row index i1 : `int` End row index j0 : `int` Start column index j1 : `int` End column index Returns: `IMapackMatrix`
`this.Submatrix` Full Usage: `this.Submatrix` Parameters: r : `int[]` - Array of row indices c : `int[]` - Array of row indices Returns: `IMapackMatrix` Modifiers: abstract	Returns a sub matrix extracted from the current matrix. r : `int[]` Array of row indices c : `int[]` Array of row indices Returns: `IMapackMatrix`
`this.Submatrix` Full Usage: `this.Submatrix` Parameters: i0 : `int` - Starttial row index i1 : `int` - End row index c : `int[]` - Array of row indices Returns: `IMapackMatrix` Modifiers: abstract	Returns a sub matrix extracted from the current matrix. i0 : `int` Starttial row index i1 : `int` End row index c : `int[]` Array of row indices Returns: `IMapackMatrix`
`this.Submatrix` Full Usage: `this.Submatrix` Parameters: r : `int[]` - Array of row indices j0 : `int` - Start column index j1 : `int` - End column index Returns: `IMapackMatrix` Modifiers: abstract	Returns a sub matrix extracted from the current matrix. r : `int[]` Array of row indices j0 : `int` Start column index j1 : `int` End column index Returns: `IMapackMatrix`
`this.Subtraction` Full Usage: `this.Subtraction` Parameters: B : `IMapackMatrix` Returns: `IMapackMatrix` Modifiers: abstract	Matrix subtraction. B : `IMapackMatrix` Returns: `IMapackMatrix`
`this.ToString` Full Usage: `this.ToString` Returns: `string` Modifiers: abstract	Returns the matrix in a textual form. Returns: `string`
`this.Trace` Full Usage: `this.Trace` Returns: `float` Sum of the diagonal elements. Modifiers: abstract	Returns the trace of the matrix. Returns: `float` Sum of the diagonal elements.
`this.Transpose` Full Usage: `this.Transpose` Returns: `IMapackMatrix` Modifiers: abstract	Returns the transposed matrix. Returns: `IMapackMatrix`
`this.UnaryMinus` Full Usage: `this.UnaryMinus` Returns: `IMapackMatrix`	Unary minus. Returns: `IMapackMatrix`

Static members

Static member Description

Static member	Description
`Matrix.Diagonal(rows, columns, value)` Full Usage: `Matrix.Diagonal(rows, columns, value)` Parameters: rows : `int` columns : `int` value : `float` Returns: `IMapackMatrix`	Returns a diagonal matrix of the given size. rows : `int` columns : `int` value : `float` Returns: `IMapackMatrix`
`Matrix.Random(rows, columns)` Full Usage: `Matrix.Random(rows, columns)` Parameters: rows : `int` columns : `int` Returns: `IMapackMatrix`	Returns a matrix filled with random values. rows : `int` columns : `int` Returns: `IMapackMatrix`


                
                  
                    
                      Matrix.Diagonal(rows, columns, value)

Full Usage: Matrix.Diagonal(rows, columns, value)

Parameters:

rows : int

columns : int

value : float

Returns: IMapackMatrix

Returns a diagonal matrix of the given size.

rows : int
columns : int
value : float

Returns: IMapackMatrix


                
                  
                    
                      Matrix.Random(rows, columns)

Full Usage: Matrix.Random(rows, columns)

Parameters:

rows : int

columns : int

Returns: IMapackMatrix

Returns a matrix filled with random values.

rows : int
columns : int

Returns: IMapackMatrix