pbat::math::linalg Namespace Reference

Linear Algebra related functionality. More...

Namespaces
namespace	mini
	Mini linear algebra related functionality.

Classes
class	SparsityPattern
	Sparsity pattern precomputer to accelerate sparse matrix assembly. More...

Enumerations
enum class	EEigenvalueFilter { None , SpdProjection , FlipNegative }
	Bit-flag enum for SPD projection type.

Functions
template<class TDerivedA, class TDerivedB>
bool	FilterEigenvalues (Eigen::MatrixBase< TDerivedA > const &A, EEigenvalueFilter mode, Eigen::MatrixBase< TDerivedB > &B)
	Filter eigenvalues of a symmetric matrix A and store the result in B.
template<class TDerivedC>
CSCMatrix	SelectionMatrix (Eigen::DenseBase< TDerivedC > const &C, Index n=Index(-1))
	Construct the selection matrix S s.t. X*S selects all columns C of X.

Detailed Description

Linear Algebra related functionality.

Function Documentation

FilterEigenvalues()

template<class TDerivedA, class TDerivedB>

bool pbat::math::linalg::FilterEigenvalues	(	Eigen::MatrixBase< TDerivedA > const &	A,
		EEigenvalueFilter	mode,
		Eigen::MatrixBase< TDerivedB > &	B )

Filter eigenvalues of a symmetric matrix A and store the result in B.

Template Parameters

TDerivedA	Type of the input matrix A
TDerivedB	Type of the output matrix B

Parameters

A	Input matrix
mode	Eigenvalue filtering mode
B	Output matrix

Returns

true if filtering occured successfully

false if failed (e.g. eigen decomposition failed)

SelectionMatrix()

template<class TDerivedC>

CSCMatrix pbat::math::linalg::SelectionMatrix	(	Eigen::DenseBase< TDerivedC > const &	C,
		Index	n = Index(-1) )

Construct the selection matrix S s.t. X*S selects all columns C of X.

Template Parameters

TDerivedC

Type of the index vector

Parameters

C	Vector of indices
n	Number of rows in the selection matrix

Returns

n x |C| selection matrix