IMapackMatrix (FsODE)

FsODE

Documentation for 0.0.2

IMapackMatrix Type

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

Matrix provides the fundamental operations of numerical linear algebra.

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.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.Multiply` Full Usage: `this.Multiply` Parameters: B : `IMapackMatrix` Returns: `IMapackMatrix` Modifiers: abstract	Matrix-matrix multiplication. B : `IMapackMatrix` Returns: `IMapackMatrix`
`this.Multiply` Full Usage: `this.Multiply` Parameters: s : `float` Returns: `IMapackMatrix` Modifiers: abstract	Matrix-scalar multiplication. s : `float` Returns: `IMapackMatrix`
`this.Norm1` Full Usage: `this.Norm1` Returns: `float` Modifiers: abstract	Returns the One Norm for the matrix. Returns: `float`
`this.Solve` Full Usage: `this.Solve` Parameters: rhs : `IMapackMatrix` Returns: `IMapackMatrix` Modifiers: abstract	Returns the LHS solution vector if the matrix is square or the least squares solution otherwise. rhs : `IMapackMatrix` Returns: `IMapackMatrix`
`this.Submatrix` Full Usage: `this.Submatrix` Parameters: startRow : `int` - Start row index. endRow : `int` - End row index; startColumn : `int` - Start column index; endColumn : `int` - End column index; Returns: `IMapackMatrix` Modifiers: abstract	Returns a sub matrix extracted from the current matrix. startRow : `int` Start row index. endRow : `int` End row index; startColumn : `int` Start column index; endColumn : `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: startRow : `int` - Starttial row index. endRow : `int` - End row index. c : `int[]` - Array of row indices. Returns: `IMapackMatrix` Modifiers: abstract	Returns a sub matrix extracted from the current matrix. startRow : `int` Starttial row index. endRow : `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. startColumn : `int` - Start column index. endColumn : `int` - End column index. Returns: `IMapackMatrix` Modifiers: abstract	Returns a sub matrix extracted from the current matrix. r : `int[]` Array of row indices. startColumn : `int` Start column index. endColumn : `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.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`