Analysis Software
Documentation for sPHENIX simulation software
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#include <TVectorD.h>
#include <TMatrixD.h>
#include <TMatrixDSym.h>
Go to the source code of this file.
Namespaces | |
namespace | genfit |
Defines for I/O streams used for error and debug printing. | |
namespace | genfit::tools |
Functions | |
void | genfit::tools::invertMatrix (const TMatrixDSym &mat, TMatrixDSym &inv, double *determinant=nullptr) |
Invert a matrix, throwing an Exception when inversion fails. Optional calculation of determinant. | |
void | genfit::tools::invertMatrix (TMatrixDSym &mat, double *determinant=nullptr) |
Same, replacing its argument. | |
bool | genfit::tools::transposedForwardSubstitution (const TMatrixD &R, TVectorD &b) |
Solves R^t x = b, replacing b with the solution for x. R is assumed to be upper diagonal. | |
bool | genfit::tools::transposedForwardSubstitution (const TMatrixD &R, TMatrixD &b, int nCol) |
Same, for a column of the matrix b. | |
bool | genfit::tools::transposedInvert (const TMatrixD &R, TMatrixD &inv) |
Inverts the transpose of the upper right matrix R into inv. | |
void | genfit::tools::QR (TMatrixD &A) |
Replaces A with an upper right matrix connected to A by an orthongonal transformation. I.e., it computes R from a QR decomposition of A = QR, replacing A. | |
void | genfit::tools::QR (TMatrixD &A, TVectorD &b) |
Replaces A with an upper right matrix connected to A by an orthongonal transformation. I.e., it computes R from a QR decomposition of A = QR, replacing A. Also replaces b by Q'b where Q' is the transposed of Q. | |
void | genfit::tools::noiseMatrixSqrt (const TMatrixDSym &noise, TMatrixD &noiseSqrt) |
Calculate a sqrt for the positive semidefinite noise matrix. Rows corresponding to zero eigenvalues are omitted. This gives the transposed of the square root, i.e. noise = noiseSqrt * noiseSqrt'. | |
void | genfit::tools::kalmanPredictionCovSqrt (const TMatrixD &S, const TMatrixD &F, const TMatrixD &Q, TMatrixD &Snew) |
Calculates the square root of the covariance matrix after the Kalman prediction (i.e. extrapolation) with transport matrix F and the noise square root Q. Gives the new covariance square root. | |
void | genfit::tools::kalmanUpdateSqrt (const TMatrixD &S, const TVectorD &res, const TMatrixD &R, const AbsHMatrix *H, TVectorD &update, TMatrixD &SNew) |
Calculate the Kalman measurement update with no transport. x, S : state prediction, covariance square root res, R, H : residual, measurement covariance square root, H matrix of the measurement. | |