Read a positive semidefinite matrix along with its matrix square root. More...
#include <tomographer/tools/ezmatio.h>
Collaboration diagram for Tomographer::MAT::EigenPosSemidefMatrixWithSqrt< EigenType_ >:Classes | |
| struct | Params |
| Parameters to read the positive semidefinite matrix. More... | |
Public Types | |
| typedef EigenType_ | EigenType |
| typedef Eigen::NumTraits< typename EigenType::Scalar >::Real | RealScalarType |
Public Attributes | |
| Eigen::SelfAdjointEigenSolver< EigenType > | eig |
| The readily-initialized eigenvalue decomposition of the matrix read from the MAT file. | |
| EigenType | mat |
| The matrix itself. | |
| EigenType | sqrt |
| The matrix square root of the read matrix. | |
Friends | |
| class | VarValueDecoder< EigenPosSemidefMatrixWithSqrt< EigenType > > |
Detailed Description
template<typename EigenType_>
class Tomographer::MAT::EigenPosSemidefMatrixWithSqrt< EigenType_ >
Read a positive semidefinite matrix along with its matrix square root.
Use this type for VarValueDecoder<T> to decode a positive semidefinite matrix from a given variable, make sure that it is indeed numerically positive semidefinite, and calculate as well its matrix square root.
We read a square matrix, calculate its eigenvalue decomposition, and re-create a new matix with the same eigenvectors, where all eigenvalues are at least a given tolerance (the other eigenvalues are adjusted so as to perserve the overall trace). Internally, we use the Tomographer::MathTools::forcePosSemiDef() family of utilities (preserving the total trace of the matrix).
You should not construct this type directly, just use it with VarValueDecoder<EigenPosSmidefMatrixWithSqrt<EigenType> >.
The documentation for this class was generated from the following file:
- tomographer/tools/ezmatio.h (v5.3)