CholeskyDecomp.h File Reference

header file containing the templated implementation of matrix inversion routines for use with ROOT's SMatrix classes (symmetric positive definite case) More...

#include <cmath>
#include <algorithm>

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Classes
struct	ROOT::Math::CholeskyDecompHelpers::_decomposerGenDim< F, M >
	struct to do a Cholesky decomposition (general dimensionality) More...
struct	ROOT::Math::CholeskyDecompHelpers::_decomposer< F, N, M >
	struct to do a Cholesky decomposition More...
struct	ROOT::Math::CholeskyDecompHelpers::_inverterGenDim< F, M >
	struct to obtain the inverse from a Cholesky decomposition (general dimensionality) More...
struct	ROOT::Math::CholeskyDecompHelpers::_inverter< F, N, M >
	struct to obtain the inverse from a Cholesky decomposition More...
struct	ROOT::Math::CholeskyDecompHelpers::_solverGenDim< F, V >
	struct to solve a linear system using its Cholesky decomposition (generalised dimensionality) More...
struct	ROOT::Math::CholeskyDecompHelpers::_solver< F, N, V >
	struct to solve a linear system using its Cholesky decomposition More...
class	ROOT::Math::CholeskyDecompHelpers::PackedArrayAdapter< G >
	adapter for packed arrays (to SMatrix indexing conventions) More...
class	ROOT::Math::CholeskyDecomp< F, N >
	class to compute the Cholesky decomposition of a matrix More...
class	ROOT::Math::CholeskyDecompGenDim< F >
	class to compute the Cholesky decomposition of a matrix More...
class	ROOT::Math::CholeskyDecompHelpers::PackedArrayAdapter< G >
	adapter for packed arrays (to SMatrix indexing conventions) More...
struct	ROOT::Math::CholeskyDecompHelpers::_decomposerGenDim< F, M >
	struct to do a Cholesky decomposition (general dimensionality) More...
struct	ROOT::Math::CholeskyDecompHelpers::_decomposer< F, N, M >
	struct to do a Cholesky decomposition More...
struct	ROOT::Math::CholeskyDecompHelpers::_inverterGenDim< F, M >
	struct to obtain the inverse from a Cholesky decomposition (general dimensionality) More...
struct	ROOT::Math::CholeskyDecompHelpers::_inverter< F, N, M >
	struct to obtain the inverse from a Cholesky decomposition More...
struct	ROOT::Math::CholeskyDecompHelpers::_solverGenDim< F, V >
	struct to solve a linear system using its Cholesky decomposition (generalised dimensionality) More...
struct	ROOT::Math::CholeskyDecompHelpers::_solver< F, N, V >
	struct to solve a linear system using its Cholesky decomposition More...
struct	ROOT::Math::CholeskyDecompHelpers::_decomposer< F, 6, M >
	struct to do a Cholesky decomposition (specialized, N = 6) More...
struct	ROOT::Math::CholeskyDecompHelpers::_decomposer< F, 5, M >
	struct to do a Cholesky decomposition (specialized, N = 5) More...
struct	ROOT::Math::CholeskyDecompHelpers::_decomposer< F, 4, M >
	struct to do a Cholesky decomposition (specialized, N = 4) More...
struct	ROOT::Math::CholeskyDecompHelpers::_decomposer< F, 3, M >
	struct to do a Cholesky decomposition (specialized, N = 3) More...
struct	ROOT::Math::CholeskyDecompHelpers::_decomposer< F, 2, M >
	struct to do a Cholesky decomposition (specialized, N = 2) More...
struct	ROOT::Math::CholeskyDecompHelpers::_decomposer< F, 1, M >
	struct to do a Cholesky decomposition (specialized, N = 1) More...
struct	ROOT::Math::CholeskyDecompHelpers::_decomposer< F, 0, M >
	struct to do a Cholesky decomposition (specialized, N = 0) More...
struct	ROOT::Math::CholeskyDecompHelpers::_inverter< F, 6, M >
	struct to obtain the inverse from a Cholesky decomposition (N = 6) More...
struct	ROOT::Math::CholeskyDecompHelpers::_inverter< F, 5, M >
	struct to obtain the inverse from a Cholesky decomposition (N = 5) More...
struct	ROOT::Math::CholeskyDecompHelpers::_inverter< F, 4, M >
	struct to obtain the inverse from a Cholesky decomposition (N = 4) More...
struct	ROOT::Math::CholeskyDecompHelpers::_inverter< F, 3, M >
	struct to obtain the inverse from a Cholesky decomposition (N = 3) More...
struct	ROOT::Math::CholeskyDecompHelpers::_inverter< F, 2, M >
	struct to obtain the inverse from a Cholesky decomposition (N = 2) More...
struct	ROOT::Math::CholeskyDecompHelpers::_inverter< F, 1, M >
	struct to obtain the inverse from a Cholesky decomposition (N = 1) More...
struct	ROOT::Math::CholeskyDecompHelpers::_inverter< F, 0, M >
	struct to obtain the inverse from a Cholesky decomposition (N = 0) More...
struct	ROOT::Math::CholeskyDecompHelpers::_solver< F, 6, V >
	struct to solve a linear system using its Cholesky decomposition (N=6) More...
struct	ROOT::Math::CholeskyDecompHelpers::_solver< F, 5, V >
	struct to solve a linear system using its Cholesky decomposition (N=5) More...
struct	ROOT::Math::CholeskyDecompHelpers::_solver< F, 4, V >
	struct to solve a linear system using its Cholesky decomposition (N=4) More...
struct	ROOT::Math::CholeskyDecompHelpers::_solver< F, 3, V >
	struct to solve a linear system using its Cholesky decomposition (N=3) More...
struct	ROOT::Math::CholeskyDecompHelpers::_solver< F, 2, V >
	struct to solve a linear system using its Cholesky decomposition (N=2) More...
struct	ROOT::Math::CholeskyDecompHelpers::_solver< F, 1, V >
	struct to solve a linear system using its Cholesky decomposition (N=1) More...
struct	ROOT::Math::CholeskyDecompHelpers::_solver< F, 0, V >
	struct to solve a linear system using its Cholesky decomposition (N=0) More...

Namespaces
	ROOT
	Namespace for new ROOT classes and functions.
	ROOT::Math
	ROOT::Math::CholeskyDecompHelpers
	helpers for CholeskyDecomp

Detailed Description

header file containing the templated implementation of matrix inversion routines for use with ROOT's SMatrix classes (symmetric positive definite case)

Author

Manuel Schiller

Date

Aug 29 2008 initial release inside LHCb

May 7 2009 factored code to provide a nice Cholesky decomposition class, along with separate methods for solving a single linear system and to obtain the inverse matrix from the decomposition

July 15th 2013 provide a version of that class which works if the dimension of the problem is only known at run time

September 30th 2013 provide routines to access the result of the decomposition L and its inverse

Definition in file CholeskyDecomp.h.